
ICGG 2018 - Proceedings of the 18th International Conference on Geometry and Graphics
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Content
- Intro
- Preface
- Welcome Addresses from Politecnico di Milano
- Welcome Addresses from the Board of Chairs
- Special Addresses for the 40th Anniversary
- Committees
- Contents
- I Introduction to ISGG Community and the 2018 Conference
- Giving Birth to the International Society for Geometry and Graphics-A Documentation of the Years 1988-1994
- 1 1988-1990: Brainstorming
- 2 1990-1994: Decisions
- Reference
- Geometry and Graphics for the Graphic Identity of a Conference on Geometry and Graphics: About the ICGG2018 Conference Logo
- Abstract
- 1 Conference Dedication
- 2 Leonardo's and Natta's Diagrams as Sources
- 3 Merging Leonardo's and Natta's Diagrams
- 4 Designing, Branding, Prototyping: Use and Abuse
- 5 Conclusion
- Acknowledgements
- References
- II Invited Lectures
- Rational Estimates for Irrational Problems: Proportional Geometry in the Work of Leonardo da Vinci
- Abstract
- 1 Proportional Geometry and Rules of Nature
- 1.1 Pyramidal Law
- 1.2 Form and Balance
- 1.3 Form and Force
- 1.4 Motion
- 2 Proportional Design
- 2.1 The Last Supper
- 2.2 The Last Supper's Proportions
- 2.3 The Giant Crossbow
- References
- Molecular Geometry and Molecular Graphics: Natta's Polypropylene and Beyond
- 1 Introduction: The Birth of Stereochemistry
- 2 Natta's Polypropylene: The Breaking of Nature's Monopoly
- 3 Outlook: Structure and Self-assembly in Biology and Materials
- References
- Geometric Thinking and the Geometry of Conics and Quadrics
- 1 Introduction
- 2 Point on Line Ruling Three
- 3 Degenerate Quadrics
- 4 Eigenvalues, Eigenvectors and Standard Form Quadric
- 4.1 Translation
- 4.2 Rotation
- 5 Relation to Planar Lines and Conics
- 6 Stationary Distances and Quadrics
- 7 Conclusion
- References
- Designing with Shadow/in Architectural Lighting Design
- Abstract
- 1 The Shadow's Identity/Under the Natural Light
- 2 Gradation
- 2.1 Cast on White Wall
- 2.2 What Is Ideal: Uniformity or Gradation?
- 2.3 Sharing Japan's Unique Shadow Aesthetic with the West
- 2.4 The Art of Grayscale Drawing
- 3 Contrast
- 3.1 Thinking About Perceptual Contrast Effect: shiruko and shio-konbu
- 3.2 Contrast: Basic Principles
- 3.3 Light and Shadow in Dry and Sunny Climates
- 4 Utsuroi
- 4.1 Light Is Always in Flux
- 4.2 The Subtlety and Breadth of the Japanese Word Utsuroi
- 4.3 The Light Operation Diagram
- Appendix
- References
- Higher Dimensional Geometries. What Are They Good For?
- 1 Introduction
- 2 A Huge Variety of Higher Dimensional Geometries
- 2.1 What is a Dimension?
- 2.2 Some Examples of Higher Dimensional Geometries
- 3 Model Spaces
- 3.1 Various Geometries and Their Models
- 3.2 What Makes a Model Space?
- 4 Applications - Benefiting from Model Spaces
- 4.1 Interpolation with Ruled an Channel Surfaces
- 4.2 Recognition and Reconstruction of Surfaces
- 4.3 Interpolation of Poses by Smooth Motions
- 5 Conclusion
- References
- Computational Visual Illusion and Its Application
- 1 Introduction
- 2 Hybrid Image
- 2.1 The Composition of a Hybrid Image
- 2.2 Problems With the Conventional Method
- 3 An Edge-Alignment Free Hybrid Image
- 3.1 The Synthesis Algorithm
- 3.2 The Assessment Method
- 4 The Application of a Hybrid Image
- 4.1 Hybrid Image as Visual Acuity Assessment Tool
- 4.2 Hybrid Image as a Security Prevention Measure
- 5 Other Visual Illusions and Their Applications
- 5.1 The Illusion of Sex
- 5.2 Mirror Therapy Using Visual Illusion
- 6 Conclusion
- References
- Blindness of Seeing. On the Origin of the Images
- Abstract
- 1 Introduction
- 2 A Girl Who Saw Too Much, a Prehistoric Tent, and Some Dark Rooms
- 3 A Distant Island, a Picture Seen Close Up
- References
- III Theoretical Graphics and Geometry
- Composition and Deconstruction of Spaces Depicted in Shinji Somai's Films
- Abstract
- 1 Introduction
- 2 Composition and Deconstruction of Spaces
- 2.1 Composition of Spaces in Film
- 2.2 Composition and Deconstruction in Somai Films
- 2.3 Composition and Deconstruction in Architecture
- 3 Long Takes in Somai Films
- 3.1 Transformation of Somai Films
- 3.2 Characteristics of Long Takes
- 3.3 Deconstruction in Long Takes
- 4 Conclusion
- References
- Graphical Model of the Biquadratic Transformation
- Abstract
- 1 The Method of Constructing a Graphical Model of Biquadratic Transformations of the Plane
- 2 The Development of Graphical Models Biquadratic Transformations Obtained by Binary Mapping of Two Nonruled Surfaces of the Second Order
- 2.1 Graphical Model Biquadratic Transformation L1
- 2.2 Graphical Model of Biquadratic Transformation L2
- 2.3 Graphical Model of Biquadratic Transformation L3
- 2.4 Graphical Model of Biquadratic Transformation L4
- 3 The Development of Graphical Models of Biquadratic Transformations Obtained Binary Mapping Pair of Bevel Surfaces
- 3.1 Graphical Model of Biquadratic Transformation L5
- 3.2 Graphical Model of Biquadratic Transformation L6
- 3.3 Building a Graphical Model of Biquadratic Transformation L7
- 3.4 Graphical Model of Biquadratic Transformation L8
- 4 The Development of Graphical Models of Biquadratic Transformations Obtained Binary Mapping Ruled Two Hyperbolic Surfaces
- 4.1 Graphical Model of Biquadratic Transformations L9
- 4.2 Graphical Model of Biquadratic Transformations L10
- 4.3 Graphical Model Biquadratic Transformations L11
- 4.4 Graphical Model Biquadratic Transformation L12
- 5 Conclusion
- References
- Graphics and Quantum Mechanics-The Necker Cube as a Quantum-like Two-Level System
- Abstract
- 1 Introduction
- 2 A Quantum Representation
- 3 In Search of the Eigenstates: The Bloch Sphere
- 4 A Neurophysiological Action
- 5 Conclusion
- Acknowledgements
- References
- Surface and Curves: A Dialogue Between Nature and Structural Analysis
- Abstract
- 1 Fractal and Biomimetic
- 1.1 Nature, Shapes, Geometry and Structure: Prediction and Description
- 1.2 Biomimetic: Systemic Architecture
- 2 Nature Design
- 2.1 Unconsorable or Designed Architectures? The Architecture Made by Animals as an Example for Human Beings
- 2.2 Historical Examples of Architectures Inspired by Those of Animals
- References
- On One Locus in the Plane
- 1 Introduction
- 2 Locus Equation
- 3 Decomposability
- 4 Singular Points
- 5 Further Properties of the Curve G
- 6 Conclusions
- References
- Integration Between Perspective Images and BIM Models: Projective Geometry Is Still Alive
- Abstract
- 1 Introduction
- 2 Literature Review
- 3 Methodology
- 4 Case Study
- 5 Conclusion
- References
- Geometric Constructive Traces in Drawings by Francesco Borromini
- Abstract
- 1 On Some Drawings by Borromini
- 1.1 Sant'Agnese
- 1.2 Sant'Andrea delle Fratte
- 1.3 San Carlino
- 2 Construction Phases and Temporary Constructions for the Dome of San Carlino: Reconstructive Hypothesis of the System of Centring
- 2.1 The Construction of the 3D Model for the Construction of the Centrings
- References
- Using Topological Transformations to Construct the Intercepting Lines
- Abstract
- 1 Introduction
- 2 The Graphical Representation of Topological Transformations
- 3 Conclusions
- References
- A Property of Area and Perimeter
- 1 Introduction
- 2 The New Algorithm
- 3 Discs Within a Circle: A Case Study
- 4 Other Dimensions
- 5 Squares Within a Square
- 6 Larger Values of
- 7 Discussion and Future Work
- References
- Quasifocal Line and "Burning Curve"
- Abstract
- 1 Introduction
- 2 Quasifocal Line and "Burning Curve"
- 2.1 "Burning Curve"
- 2.2 Quasifocal Line
- 2.2.1 Reflecting Surface Is a Straight Circular Cylinder
- 2.2.2 Reflecting Surface Is a Cone
- 2.2.3 Reflecting Surface Is a Sphere
- 2.2.4 Reflecting Surface Is Paraboloid of Revolution
- 2.2.5 Reflecting Surface Is Torus
- 2.3 Receiver Surface for a Torus
- 2.4 Comparing Reflecting Properties of Torus and Circular Reflectors
- 2.5 Energy Map for Torus Reflector on the Flat Receiver
- 3 Conclusions and Further Work
- References
- Detection of Critical Direction for Feature Line Extraction on Meshes Based on Local Integral Invariants
- Abstract
- 1 Introduction
- 2 Related Work
- 3 A Framework for Classifying Critical Directions Defined Over Local Neighborhoods
- 3.1 Definition of Neighborhood
- 3.2 Definition of "Normal" for {\varvec N}_{{\varvec r}} \left( {\varvec p} \right)
- 3.3 A Framework for Defining Critical Directions Over Local Neighborhoods
- 4 Analysis of Approaches
- 4.1 PCA of Local Neighborhoods
- 4.2 Find Critical Direction Over the Convex Hull of the Planar Curve (Spherical Curve's Projection onto Plane)
- 4.3 Find Critical Directions Over Gauss Map's Spherical Convex Hull
- 4.4 Find Critical Directions from a Sequence of Angle/Distance
- 5 Results
- 5.1 Effectiveness
- 5.2 Robustness
- 5.3 Computational Cost
- 6 Conclusion
- Acknowledgements
- References
- A Spatial Version of the Theorem of the Angle of Circumference
- 1 Introduction
- 2 Equation of the Ruled Surface
- 3 Properties of
- 4 Special Cases
- 4.1 One-Sheeted Hyperboloids
- References
- Equidistant Sets of Conic and Line
- 1 Introduction
- 1.1 Equidistant Sets of an Ellipse and a Line
- 2 Equidistant Sets of a Hyperbola and a Line
- 3 Equidistant Sets of a Parabola and a Line
- References
- Isotomic Transformation with Respect to a Family of Triangles
- 1 Preliminaries
- 1.1 Barycentric Coordinates
- 1.2 Isotomic Transformation
- 2 Isotomic Transformation on a Family of Triangles
- References
- The Geometry of Quadratic Quaternion Polynomials in Euclidean and Non-euclidean Planes
- 1 Introduction
- 2 Quaternions and Quaternion Polynomials
- 3 Universal Hyperbolic Geometry
- 4 The Kinematics of Polynomial Factorization
- 5 A Conic and Its Focal Points
- 6 Comparison with the Euclidean Case
- References
- Geometric Algorithms for Constructing the Algebraic Surfaces on the Basis of Grassmann's Ideas and Their Extensive Equations
- Abstract
- 1 Introduction
- 2 Basis for Construction of Surface O2
- 3 Basis for Construction of Surface O3
- 4 Other Basis for Construction of Surface O3
- 5 Basis for Construction of Surface O4
- 6 Basis for Construction of Surface O5
- References
- Hyperbolic Space Forms with Crystallographic Applications and Visualizations
- 1 Introduction
- 2 An Euclidean Example for the Space Group P212121
- 3 The {5,6,6} Football Manifold and its Extremal Properties
- 4 Cobweb or Tube Manifolds
- 4.1 Construction of the Cobweb (tube) Manifold Series Cw(2z = 8p-2), 2 P N
- 4.2 Construction of Cobweb (tube) Manifold Cw(10) and Cw(2z = 8q + 2), 1 q N, in General
- 5 Manifolds for the Archimedean Solids {4, 6, 8} and {4, 6, 10}
- 5.1 {4, 6, 8}
- 5.2 A Hyperbolic Archimedean Manifold {4,6,10}
- References
- Optimized Ruled Surfaces with an Application to Thin-Walled Concrete Shells
- Abstract
- 1 Introduction
- 2 The Line Geometry Model: Study Sphere
- 2.1 Dual Vectors
- 2.2 Geodesics and Minimal Ruled Surfaces
- 3 Kinematics of Rulings
- 3.1 Dual Rodrigues Formula
- 3.2 Piecewise Geodesic Interpolation
- 4 Interpolation Algorithms
- 5 Building the Footbridge
- 6 Conclusions
- Acknowledgements
- References
- Examples of Autoisoptic Curves
- 1 Introduction
- 2 Curve Representation via Support Function
- 3 Delay Differential Equations for Autoisoptic Curves
- 4 Exact Solutions
- 4.1 One Equation
- 4.2 Autoevolutes: ==2
- 4.3 Autoevolutoides ==2
- 5 Two Equations and Approximations
- 5.1 Approximation in the Space of Elementary Solutions
- 5.2 Approximation with power series
- 6 Conclusion
- References
- The Properties of Special Points on the Brocard Circle in a Triangle
- Abstract
- 1 Introduction
- 2 The Special Point O1 in Triangle {{\bf ABC}}:\angle {\varvec AO}_{1} {\varvec B} = \angle {\varvec AO}_{1} {\varvec C} = \angle {\varvec B} {\,+\,} \angle {{\bf C}}
- 3 When a Symmedian Is a Tangent to the Brocard Circle?
- 4 A Right Angle Triangle
- 5 An Isosceles Triangle
- References
- Structure Functions of Ruled Surfaces with Null Rulings
- 1 Introduction
- 2 Preliminaries
- 3 Structure Functions of Non-null Ruled Surfaces in Lorentz-Minkowski Space
- 4 Structure Functions of Ruled Surfaces with Null Rulings
- 4.1 Helicoidal B-scrolls
- References
- Curved Folding with Pairs of Cones
- 1 Introduction
- 2 Cone-Cone-Origami
- 3 The Characterization Theorem
- 4 Construction of the Corresponding Spatial Curves
- 5 An Example
- 6 Summary and Conclusions
- References
- Relationship Between Time and Typical Buildings Depicted in KASUGA GONGEN GENKI
- Abstract
- 1 Introduction
- 2 Visualization of Time
- 3 Expressions Conveying Time
- 4 Methods of Analysis
- 4.1 Dates Recorded in the Emaki
- 4.2 Depicted Locations
- 4.3 Iji-Dozu-Ho
- 5 Analysis and Results
- 5.1 Dates
- 5.2 Locations
- 5.3 Iji-Dozu-Ho
- 5.3.1 Type I: Same Time, Same Setting
- 5.3.2 Type II: Different Time, Same Setting
- 5.3.3 Type III: Same Time, Different Setting
- 5.3.4 Type IV: Different Time, Different Setting
- 5.3.5 Type V: Mixed Type
- 6 Discussion
- 7 Conclusion
- References
- Two Remarkable Spherical Arrangements of Circles
- 1 Introduction
- 2 A Polyhedron with Hexagonal Faces and a Circumsphere
- 3 An Incircular Net on the Sphere
- References
- Study and Practice on Double Deck Folding Structure Mobile Home Design Development
- Abstract
- 1 Introduction
- 1.1 Background
- 1.2 Related Work
- 1.3 Objectives of This Research
- 2 Designing the Prototype
- 2.1 Summary of the Prototype
- 2.2 Design Specification
- 2.3 Geometry of the Prototype
- 3 The Process of Expanding Upper Deck
- 4 Case Study
- 4.1 Case Study as Exhibition Space
- 4.2 Case Study as Exhibition Control Tower
- 5 Conclusion
- References
- Logicometry: Graphical Representations of Logical Space Interrelations
- Abstract
- 1 Introduction
- 2 Analysis
- 2.1 The Logical Proposition of the Human Agency and Its Form
- 2.2 Defining Logical Space Through Geometry
- 2.3 Symbolical Analogies Between Logical and Metaphysical Objects
- 2.4 The Values of the Metaphysical Conscience of Human Agency
- 3 Methodology
- 3.1 The Cartesian Model of Logical Space
- 3.2 The Polar Model of Logical Space
- 4 Conclusion
- References
- Minkowski Triples of Curve Segments
- Abstract
- 1 Basic Concepts
- 1.1 Minkowski Point Set Operations
- 1.2 Minkowski Triples
- 2 Minkowski Circular Triples
- 3 Conclusions
- References
- Some Theorems of the Euclidean Geometry in Pentagonal Quasigroups
- 1 Introduction
- 2 Geometry of Pentagonal Quasigroups
- 3 Some Old and New Theorems of the Euclidean Geometry in Pentagonal Quasigroups
- 4 Conclusion
- References
- Geometrical Structures of Planar and Spatial Tessellations Based on 3D Models of Higher Dimensional Cubes
- Abstract
- 1 The Considered 3D Model of Higher-Dimensional Cubes
- 2 Space-Filling Periodical Tessellations of 3-Models of k and 2 lessthan j lessthan k-Cubes
- 3 Reconstruction of the Spatial Tessellations
- 3.1 Compound Elements with Multiplied Edge Length
- 3.2 Models Composed by Models of Lower-Dimensional Elements
- 3.3 Reconstructions Related to the Model Edges
- 4 Planar Tessellations Based on the Spatial Models and Mosaics
- 4.1 Parallel Projections of the Models
- 4.2 Planar Intersections of the Space-Filling Mosaics
- 5 Concluding Remarks
- References
- The Cube: Its Relatives, Geodesics, Billiards, and Generalisations
- Abstract
- 1 Introduction: The Cube and Related Polyhedra
- 2 Reflections and Shortest Paths
- 3 Geodesics, Pseudo- and Quasi-geodesics
- 4 Square, Cube, and Hypercube: Closed Geodesics and Billiards
- 5 Conclusion
- References
- Duality in Non-polyhedral Bodies Part I: Polyliner
- Abstract
- 1 Duality
- 1.1 Duality in Form
- 1.2 Synthesis
- 1.3 Duality in Transformation Process
- 2 Further Structures Corresponding to Dual Pairs
- 2.1 Folding Down the Hull into Bundles
- 2.2 From the Kernel to Knots and Links
- 3 Simplest Cases of Dual Pairs, Knots, Links and Bundles
- 3.1 Polyliner with Duogon
- 3.2 Polyliner with Monogon
- 3.3 Loops-Unknotting with Monogon
- 3.4 Graphic Representation
- Quadric Sections of Four-Dimensional Cones
- 1 Introduction
- 2 Analytic Approach
- 2.1 Quadric Sections of an Ellipsoidal Cone
- 2.2 Quadric Sections of a One-Sheet Hyperboloidal Cone
- 3 Synthetic Approach
- 3.1 A Spherical Cone
- 3.2 A One-Sheet Hyperboloidal Cone
- 4 Conclusion
- References
- Curves and Surfaces in the Churches with Ovate Plant in Naples. Geometric Analogies and Differences
- Abstract
- 1 Introduction (OZ)
- 2 Oval Shape Between Polycentric Curve and Ellipse (OZ)
- 3 Churches Spatial Morphology and 3D Modeling (VC)
- 4 Conclusion (VC)
- References
- IV Applied Geometry and Graphics
- A Suggestion of the Optical Illusion Blocks for an Architectural Theory: Toward an Architecture in the Near Future
- Abstract
- 1 Architectural Theory for Our Blocks
- 1.1 Optical Illusion Block
- 1.2 Two Points from Architectural Theories
- 1.3 The Third Point: Phenomenal Transparency
- 2 The Lessons of Our Blocks
- 2.1 Depth from Wider Angles
- 2.2 Versatility
- 3 Semi-transparency and Frequency of Change
- 3.1 Kunstwollen for Semi-transparency
- 3.2 Technical Allowance for Frequency
- 3.3 Semi-transparency Versus Equivocalness
- 3.4 Super Imposing Layers
- 4 Two Points of Importance
- 4.1 Historical Tension: Transparency Versus Semi-transparency
- 4.2 Aesthetic Significance: Crisis of Harmony
- References
- Perspective and the Blind
- Abstract
- 1 Introduction
- 1.1 Art and Visual Impairment
- 1.2 Aesthetic Experience in Non-sighted People
- 2 Pictorial Artworks' Main Challenges
- 2.1 Perspective and the Blind. Two Psychological Theories
- 2.2 The Problem of Light and Colour
- 3 Conclusion
- 3.1 A Proposed Research Methodology
- References
- The Korean Alphabet (Hangeul) and the Translation Processes in Design
- Abstract
- 1 Introduction
- 2 Hangeul: The Korean Writing System
- 3 The Letters. Experience Aims and Methodology
- 4 Final Considerations
- References
- "Ultima Dea": A Laser Scanner Application for 3D Modelling
- Abstract
- 1 "Ultima Dea"
- 1.1 The Designer: Renato (Sonny) Levi
- 2 Engine Compartment 3D Scanning
- 2.1 Scans' Pre-processing
- 2.2 Fine Registration and Output
- 3 Meshing the Cloud
- 3.1 Surface Modelling
- 4 Conclusions
- References
- Margin's Landscapes Between Po and Trebbia Rivers in Piacenza Area: Geometrical Descriptions
- Abstract
- 1 Roman's "Centuriazione": From Metric Measure to Photography
- 2 Methodologies of Measure by Photography and Video
- 3 Geometry and Perception of the Landscape: A Multiple Point of View
- 4 Final Considerations: Layers of the Landscape
- References
- Immersive Visions. Some Paradigm a of an Exceeding Iconography. Capture and Monitoring by Spherical Cameras and Interactive Smartglasses
- Abstract
- 1 The Sphere as a Landscape
- 2 The Sphere as an Image
- 3 The Sphere as a Visual Representation
- 4 Connections-Interfaces. The Sphere as a Device
- 4.1 Capture and Monitoring by Spherical Cameras and Interactive Smartglasses
- 5 Case Studies. Survey Examples
- 6 Case Studies
- 7 The Frame Is You. Conclusions
- Acknowledgements
- References
- Imperial Porphiry and Golden Leaf: Sierpinski Triangle in a Medieval Roman Cloister
- Abstract
- 1 Introduction: Our Mental Eyes, Bridging Across Times
- 2 The Sierpinski Triangles in the Cloister of St. John
- 3 The Cloister of St John in Lateran and the Role of the Marmorari
- 3.1 Bibliographic Note
- 4 The Sierpinski Triangle, Its Mathematical Values
- 4.1 The Sierpinski Triangle Has a Non-integer Number of "Dimensions" (A Fractal)
- 5 Conclusions
- Acknowledgements
- References
- A Storage Model for Large Scale Web-Based Learning Systems Based on Concept Tree
- Abstract
- 1 Introduction
- 2 Framework of Collaborative Editing Platform
- 3 Storage Model Based on Conception Tree
- 3.1 Electronic Resource Model Definition
- 3.2 Concept Tree Model Construction
- 3.3 Electronic Resource Association Based on Concept Tree
- 3.4 Resources Extraction Mechanism Based on Hash Table
- 3.5 Cloud Storage Based on the Combination of Distributed Files and Rational Database
- 4 System Development and Discussion
- 5 Conclusion
- Acknowledgements
- References
- An Unlikely Rome. Towards Performative Geometry
- Abstract
- 1 An Evening with Monge
- 2 Representation in Contemporaneity
- 3 Non-representation, the Field of Performative Geometry
- 4 An Unlikely Rome
- 5 Rethoric of Representation and Design Strategies
- 6 Geometry as an Event
- 7 Maps. Diagrammatic Representation of Data Complexity
- References
- Cellular Automata Between Life Science and Parametric Design: Examples of Stochastic Models to Simulate Natural Processes and Generate Morphogenetic Artefacts
- Abstract
- 1 From Deterministic to Stochastic Cellular Automata
- 1.1 Introduction
- 1.2 From Elementary Cellular Automata to Complexity
- 2 Applications in the Study of Stochastic Development
- 2.1 Alan Turing's Morphogenetic Model and Cellular Automata
- 2.2 Morphogenesis in Nature and Its Digital Replication
- 2.3 Parametric Design and Urban Morphogenesis
- 3 Conclusions
- References
- Smart Artefacts and Spaces to Interact, Promote and Transfer Cultural Knowledge
- Abstract
- 1 Introduction
- 2 Responsive and Intelligent Objects
- 3 Interacting with the Body
- 4 A Case Study: Leonardo Racconta Leonardo
- 5 Conclusions
- References
- The Role of the Graphic Element in the Context of Playful Games for Cultural Heritage
- Abstract
- 1 Video Games as Teaching and Learning Tool
- 2 Environment and Space Design in Video Games
- 3 A Video Game Project for a Chartehouse. Some Critical Issues
- 3.1 Game Environment Design: Real Data Collection
- 3.2 Game Environment Design: Data Processing
- 3.3 Game Environment Design: Visual, Graphic and Architectural Elements for Narrative Purposes
- 4 Conclusions
- Acknowledgements
- References
- Unfolding Geometry from Unity: Digital Survey and 3D Modeling of Islamic Decorative Apparatus in Generalife Palace, Alhambra
- Abstract
- 1 Islamic Decoration: Genesis of Geometrical Approach
- 2 Geometry into Mudéjar Art: Al-Andalus and Al-Hambra
- 3 Alhambra Documentation Project: Digital Methodologies for the Representation of Architectural Apparatuses
- 4 Unfolding Unity: Geometric Constancy in Morphological Variation of Alhambra Decorations
- 5 Ornamental Apparatus in Generalife Palace: Surfaces and Complexity of Models for a Representative Analysis
- 5.1 Decomposition and Design of Decorative Matrices
- 5.2 Ornamental Models and Morphological Hierarchies
- 6 Conclusions
- References
- Triangular Proportional Scheme and Concept of the Two Serbian Medieval Churches
- Abstract
- 1 Introduction
- 1.1 Historical Frame and Architectural Concept of the Two Churches
- 2 Proportional Analysis
- 2.1 Documentation Sources
- 2.2 Proportional Analysis Guided by Regular Polygons
- 2.3 Proportional Analysis of "Empty" Spaces by Classical Constructions
- 3 Conclusion
- Acknowledgements
- References
- Best-Fit Analysis for the Geometry Characterization of Domes
- Abstract
- 1 Introduction
- 2 The Case Study of Catania's Cathedral
- 3 Best-Fit Analysis: Geometric Procedure
- 4 Best-Fit Analysis: Analytic Procedure
- 5 Conclusion
- References
- The Evolutionary Mechanism of Unit Cell: Parameterizations of Polyhedron Sandwich Structure Based on Rigid Origami
- Abstract
- 1 Introduction
- 2 Regular Polyhedral Unit Cell
- 3 Evolutionary Mechanism of Polyhedral Unit Cell Based on Origami
- 3.1 Origami Geometric Crease Transformation
- 3.2 Basic Unit Cell and Basic Circles
- 3.3 Similarity Transformation
- 4 Conclusions
- Funding
- References
- Converting 3D-CAD Data into FRP Parts
- Abstract
- 1 Instruction
- 2 Computer Aided Modeling
- 3 Numerical Control Machining
- 4 FRP Making
- 5 Tensile Strength Testing
- 6 Conclusions
- References
- A Quest for the Structural Response Through Geometric Representation of the Design of Built Heritage
- Abstract
- 1 Introduction
- 2 Complex Structure Geometry
- 3 How to Reconstruct the Masonry Vaults Geometry
- 3.1 Actual Methods of Survey
- 3.2 G. Scott and J. Heyman
- 3.3 Application: Milan Cathedral
- 4 Simplification of the Model: Venustas-Utilitas-Firmitas
- 5 Integrated Approach
- 5.1 The Cathedral of Milan
- 5.2 Experimental Observation: Surveys
- 5.3 A Digital Code for Structural Calculation
- 6 Conclusions
- Acknowledgements
- References
- Geometric Representation of Turbulent Macrostructure in 3D Jets
- 1 Introduction
- 2 3D Jet Representation and Averaging of Flow Parameters
- 3 Description of a Puff
- 4 Results and Continuation of the Work
- 5 Conclusions
- References
- An Algebraic Version of the Input-Output Equation of Planar Four-Bar Mechanisms
- 1 Introduction
- 2 Input-Output Equation
- 2.1 Special Cases
- 3 Design Parameter Space
- 4 Conclusions
- References
- Collection and Visualization of Pedestrian Navigation Routes with Parametric Tools
- Abstract
- 1 Introduction
- 1.1 Experiments in Virtual Environment
- 2 Survey
- 3 Digital Parametric Model
- 4 Results and Implementation
- 5 Discussion
- 6 Conclusion
- References
- Between Architecture and Writing: Graphical Geometry to Decipher Systems of Signs. Campo Verano in Rome
- Abstract
- 1 Introduction
- 2 Analysis Method
- 3 Analysis of the Funerary Micro-architecture
- 4 Analysis of the Displayed Writing
- 5 Conclusions
- References
- Visualized Analysis of Spatial Distribution of Dissolved Oxygen and Nitrogen Removal Efficiency in Constructed Wetland
- Abstract
- 1 Introduction
- 2 Experimental Basis
- 2.1 Map Obtainment
- 2.2 Data Obtainment
- 2.3 Preparation of Excel Chart for DO and TN
- 3 Data Visualization
- 3.1 Spatial Interpolation Methods
- 3.2 Spatial Interpolation Principle
- 3.3 Visual Chart Productions
- 4 Analysis of the Distribution of DO and Nitrogen Removal in the Wetlands
- 4.1 Visualization of the Plane Distribution of DO and Denitrification Effect in the Wetlands
- 4.2 Facade Distribution Visualized Analysis of DO in the Wetlands
- 5 Conclusions
- References
- Study on the Modeling Converting Methods of Complex Mechanical Product Exterior Design
- Abstract
- 1 Overview
- 2 Industrial Design Process of Complex Mechanical Product
- 3 The Export of the Structure Model
- 3.1 Several Data Conversion Formats of Structure Model
- 3.2 Selection of Structure Model Transformation Mode
- 4 Several Modes to Import Exterior Model into Pro/E Engineering Modeling Software
- 5 Structure Model Export Mode Verification by Example
- 6 Conclusion
- References
- Examination of the Experience of Biomorphic Form Materialized in Urban Design Model
- Abstract
- 1 Introduction
- 2 Implementing Biomorphic Forms in Urban Design
- 3 Materials and Methods
- 3.1 Parametric Tools for Modeling Biomorphic Forms into Urban Design Model
- 3.2 The Visual Questionnaire for Examination of the Experience of Urban Design Model-Bench
- 4 Results
- 5 Conclusion
- Acknowledgements
- References
- Repetition of Triangle Fountain of Aldo Rossi: Geometrical Analogy of Architecture
- Abstract
- 1 Introduction
- 2 Method
- 3 Discussion
- 3.1 The Type "Lifted by Pillar"
- 3.2 The type "Cantilevered"
- 3.3 The Type "Synthesized"
- 4 Conclusion
- 4.1 Formula of Geometrical Analogy
- 4.2 Relationship with Drawings
- References
- Toward a New Capital by Le Corbusier-A Synthesis of Images with Different Origins
- Abstract
- 1 Introduction
- 2 Purpose and Method
- 3 Development Crossing Over the Genres
- 3.1 Reflection of Pictorial Images
- 3.2 Development of Architectural Images
- 3.3 Development of City Images
- 3.4 Linkage of Images of lessthan Birth greaterthan via Chandigarh
- 4 From the Acropolis Toward Chandigarh-A Synthesis of Images with Different Origins
- References
- Generic Fitting in Point Clouds
- 1 Introduction
- 2 Generic Fitting
- 2.1 RANSAC Algorithms for Primitive Detection
- 2.2 Massive RANSAC Primitive Detection
- 2.3 Extended Boundary Graph Representation
- 2.4 From Model to Boundary Graph Representation
- 2.5 Graph-Matching
- 3 Application
- 3.1 2D Polygon Fit
- 3.2 Application to Catalogue-Based Models
- 4 Conclusion
- References
- Identification Method of Topographic Surfaces Models
- Abstract
- 1 Introduction
- 2 Literature Review
- 3 Aim and Research Problems
- 4 Materials and Methods
- 5 Conclusion
- References
- Geometry of Stairs
- Abstract
- 1 Stairs-Function, History and Design Rules
- 2 Typologies of Stairs
- 3 Stair Geometries and Directions
- 4 Spiral Stairs
- 5 Sinus Stairs
- 6 Conclusions
- Acknowledgements
- References
- Exempla Imperfecta: The "Curious" Image of the Platonic Solid
- Abstract
- 1 First Section
- 1.1 Introduction
- 2 Second Section
- 2.1 Discussion
- References
- The Design of JLAMT: An Aided Tool for Large-Scale Complex Physical Modeling
- Abstract
- 1 Introduce
- 2 The Visual Modeling Tool JLAMT Based on Field Oriented Development
- 3 The Architecture and Design Principles of JLAMT
- 4 The Application Example of JLAMT
- 5 Conclusion
- Acknowledgements
- References
- Geometric Links Between 2d Patterns and 3d Structures in Islamic Architectures of Andalusia
- Abstract
- 1 Introduction
- 2 The Geometry, Between Theory and Practice
- 3 The Geometric Drawing as a Matrix of Decorative Patterns
- 4 Andalusian Vaults with Interwoven Arches
- 5 Conclusions
- Acknowledgements
- References
- Extended Morphological Closing Using Geodesic Filtering
- 1 Introduction
- 2 Mathematical Morphology
- 3 Method
- 3.1 Extended Closing Operator
- 3.2 Extended Opening Operator
- 4 Results and Discussion
- 5 Conclusion
- References
- 3D Printer of Five-Axis Laminate-Shaping with FDM Method and Its Application
- Abstract
- 1 Introduction
- 2 Hardware and Control of Hybrid Machine
- 3 Software for Five-Axis Laminate-Shaping
- 4 Simulation for of Five-Axis Laminate-Shaping
- 5 Integration of Additive Manufacturing to CAM
- 6 Case Study
- 7 Summary
- Reference
- A Program to Seek Drawing Methods for Descriptive Geometry in Prolog
- Abstract
- 1 Descriptive Geometry
- 1.1 Handwriting Drawing
- 1.2 Database of Descriptive Geometry
- 2 A Trial Program to Seek Drawing Method
- 2.1 Consideration About Program
- 2.2 Simple Example
- 2.3 Perpendicular Line Drawing by the Same Radius Circles
- 2.4 Perpendicular Line Drawing by Different Radius Circles
- 3 Conclusion
- References
- Alternative Interpretation of the Plücker Quadric's Ambient Space and Its Application
- 1 Introduction
- 1.1 Lines and Line-Elements of Euclidean 3-Space
- 1.2 Outline
- 2 Lines in Euclidean 4-Space
- 2.1 Quaternionic Representation
- 2.2 Alternative Interpretation
- 2.3 Projection on the Plücker Quadric
- 3 Lines-Elements in Euclidean 4-Space
- 3.1 Lower-Dimensional Analogue
- 4 Straight Lines
- 4.1 Straight Lines in P5L
- 4.2 Straight Lines in P6G
- 4.3 Kinematic Relevance of
- 5 Application
- 5.1 Study Sphere
- 5.2 Review
- 5.3 Concluding Algorithm
- References
- Visualization of Infants' Behavior at Home Using Augmented Reality for Promotion of Development and Prevention of Accidents
- Abstract
- 1 Introduction
- 1.1 Augmented Reality and Real Environment
- 1.2 Home and Affordances
- 2 Methods
- 2.1 Participants
- 2.2 Procedure
- 2.3 Data Analysis
- 2.4 Ethical Considerations
- 3 Results
- 3.1 Observational Data
- 3.2 Vision-Based Tracking
- 3.3 User Experience
- 4 Discussion
- 4.1 Observational Data
- 5 Conclusions and Future Work
- Acknowledgements
- References
- Modularity of Concave Polyhedra of the Second Sort with Octagonal Bases
- Abstract
- 1 Introduction
- 2 Previous Research
- 3 Joining the Compatible C II with the Octagonal Bases
- 3.1 Connecting the Bases in the Same Plane
- 3.2 Joining the Polyhedra by the Common Bases
- 3.3 Using Truncated Cube as a Mediator
- 4 Ideas for the Application of C II-8 in Architecture
- 5 Conclusions
- Acknowledgement
- References
- Introduction to "Architectural Geometry": Through Analysis of Architecture Made of Square Plan
- Abstract
- 1 Introduction
- 2 Three Categories of Architectural Geometry
- 2.1 Compositional Geometry
- 2.2 Projective Geometry
- 2.3 Signified Geometry (Non-euclidean Geometry)
- 2.4 Geometric Order as "Fiction"
- 3 Architectural Geometry and Scale
- 3.1 Embodied Geometry
- 3.2 Scale of Architecture
- 4 Analysis of Architecture Made of Square Plan
- 4.1 Method and Results
- 4.2 Discussion
- 5 Conclusion
- References
- Visual Paradoxes in Video Games: Spatial Reconstructions and Geometric Analysis
- Abstract
- 1 Introduction
- 2 Research and Classification
- 3 Analysis by Type
- 3.1 Parallel Projection: Axonometric View
- 3.2 Parallel Projection: Orthographic View
- 3.3 Central Projection: Perspective
- 4 Conclusion and Possible Developments
- References
- Directorial Surfaces and Potential Applications in Cupola Design
- Abstract
- 1 Introduction
- 2 Mathematical Formulation
- 2.1 Weberian Approach in Surface Definition
- 2.2 Directorial Surfaces
- 3 Geometrical Model and Results
- 3.1 Line Directors as the Sides of the Regular Polygons
- 3.2 Line Directors as the Non-parallel Diagonals of Regular Upright Prisms
- 3.3 Line Directors as the Edges of Platonic Polyhedrons
- 4 Architectural Applicability
- 5 Conclusion
- Acknowledgements
- References
- 3D Modeling of the Biological Form of the Green Chinche
- Abstract
- 1 Introduction
- 2 Separation and Identification of the Insect Parts
- 3 Capture and Accommodation of the Images
- 4 Tagged Points
- 5 Numerical Values of the "Landmarks"
- 6 3D Modeling
- 7 Results
- 8 Contributions
- 9 Conclusions
- References
- From Voxels to Parts: Hierarchical Discrete Modeling for Design and Assembly
- Abstract
- 1 Introduction
- 2 Background
- 2.1 Volumetric Modelling
- 2.2 Digital Fabrication with Digital Materials
- 3 Methods
- 3.1 Wasp: Discrete Modelling Framework
- 3.2 Gradient Fields
- 3.3 Constraints Modelling
- 3.4 Hierarchical Discrete Modelling
- 3.5 Implementation
- 4 Results
- 5 Conclusion and Outlook
- Acknowledgements
- References
- Visualisation of DSM as 3D-Mesh for Urban Analyses
- Abstract
- 1 Introduction
- 2 Brief Typology of 3D-City-Models
- 2.1 CAD-Models
- 2.2 CityGML
- 2.3 LiDAR and DSM
- 2.4 Reality Mesh Models
- 3 Application of DSM
- 3.1 Data & Geometric Structure
- 3.2 Visualisation
- 3.3 Computation Aspects
- 3.4 Urban Analyses
- 4 Conclusions
- References
- Research on Video Representation by Unexperienced Viewpoint Using 360-Degree Movie
- Abstract
- 1 Introduction
- 2 Related Works
- 3 What Is a 360-Degree Movie?
- 3.1 Features of 360-Degree Movies
- 3.2 Understanding of Image Production
- 3.3 Production Flow
- 4 Video Production and Evaluation Experiment Based on Unexperienced Viewpoint
- 4.1 Taking 360-Degree Movies
- 4.2 Evaluation Experiment
- 4.3 Evaluation Result
- 5 Discussion
- 6 Conclusion and Future Works
- References
- Application of Middle-Out Design Based on Multi-body Method
- Abstract
- 1 Introduction
- 2 Overview of Design Approaches
- 2.1 Bottom-Up Design
- 2.2 Top-Down Design
- 2.3 Middle-Out Design
- 3 Multi-body Layouts
- 3.1 Layout Based on Split
- 3.2 Layout Based on Creating Independent Solid Bodies
- 4 Parameter Correlation in Multi-body Layout
- 4.1 Full Parameter Correlation
- 4.2 Cross-Feature Parameter Correlation
- 4.3 Cross-Component Parameter Correlation
- 4.4 Cross-Part Parameter Correlation
- 5 Case Study
- 6 Conclusion
- References
- Geometrically Controlled Digital Workflow from Scratch to Fabrication
- Abstract
- 1 Introduction
- 1.1 Digital Fabrication
- 1.2 Parametric and Algorithmic Design
- 1.3 State of Art at the Universities
- 2 Didactical Approach
- 2.1 Conceptual Phase
- 2.2 Elaboration Phase
- 2.3 Realization Phase
- 2.4 Exhibition Phase
- 3 Realized Projects
- 4 Splitterwerk
- 4.1 Form-Finding Process and Geometry
- 4.2 Parametric Model and Statics
- 4.3 The Workflow
- 4.4 Fabrication
- 4.5 Construction Site
- 4.6 Result
- 5 Summary
- Acknowledgements
- References
- Graphical Analysis of the Structural Behavior, According Hypothesis of Rankine-Schwedler, of a Large Stone Dome in Granada (Spain)
- Abstract
- 1 Introduction
- 2 Historical Context
- 3 Geometric Modelling
- 4 Materials
- 5 Structural Behaviour
- 5.1 Analysis of Meridional and Hoop Forces
- 5.2 Graphical Procedure
- 6 Conclusions
- References
- Utilization of Plane Tessellation for Paper Folding and Geometrical Transmittance Pattern for Lampshade Design
- Abstract
- 1 Introduction
- 2 Principle of SQEF Method and Related Works
- 3 Single Tessellation Method
- 4 Multiple Tessellation Method
- 5 Conclusion and Future Works
- References
- The Geometry of the Ramps in Frank Lloyd Wright's Organic Architecture
- Abstract
- 1 Introduction
- 1.1 Ramps, Geometry and Modern Architecture
- 2 Ramps in Modern Architecture
- 3 Frank Lloyd Wright's Designs with Ramp Element: Geometric and Graphic Analysis
- 3.1 Residential Designs
- 3.2 Religious Spaces Designs
- 3.3 Commercial Designs
- 3.4 Institutional Buildings Designs
- 4 Discussion
- 5 Final Remarks
- Illustration credits
- References
- Geometric Basis of the Use of "Green Constructions" for Sun Protection of Glazing
- Abstract
- 1 Introduction
- 2 Literature Analysis
- 3 Plants Assortment
- 4 Optimized Algorithms for Sun Position
- 5 Building a Figure to Fill by Plants
- 6 Conclusions
- References
- Making Fulldome Images Using Camera with Fisheye Lens and Fulldome Picture on Bowl
- Abstract
- 1 Introduction
- 2 Fulldome Images Using Fisheye Lens and Bowl
- 2.1 Equipment and Materials
- 2.2 The Bowl Used in This Experiment
- 2.3 The Image Processing in This Experiment
- 3 Workshop for Children at Planetarium
- 3.1 Schedule
- 3.2 Photography
- 3.3 Results of Workshop
- 4 Conclusion
- References
- Interactive Expansion of Achiral Polyhedra
- Abstract
- 1 Digital Tools to Work in Space
- 2 Expansion and Contraction of Polyhedra
- 3 Expansion e1
- 4 Expansion e2
- Acknowledgements
- References
- Parametric Modelling and Geometry for the Study of Groins in Compound Vaults
- Abstract
- 1 Introduction
- 2 Main Focus
- 2.1 Cylindric Groins
- 2.2 Cylindroidic Groins
- 2.3 Groins Improperly Named Spherical, Generated by a Circular Arc of Variable Shape
- 3 Discussion of the Results
- 4 Conclusion
- References
- A Geometric Look at 3D Illusionist Techniques
- Abstract
- 1 Introduction
- 2 The Sense of Space
- 3 From Traditional Perspective Techniques to Anamorphosis
- 4 A Magic Visual Adventure
- 5 Conclusions
- References
- Suggestions for New Content in the Planetarium
- Abstract
- 1 Introduction
- 1.1 Dome Master Format
- 2 Production of a Kaleidoscope
- 2.1 Purpose and Background
- 2.2 Approach
- 2.3 Algorithm
- 2.3.1 Placement of Polygons
- 2.3.2 Splitting Polygons
- 2.3.3 Mesh Deformation
- 3 Content Creation by Unity
- 3.1 Used Software/Equipment
- 3.2 Interactive Content
- 3.3 Advantages of Planetarium
- 3.4 Display with Unity
- 3.4.1 Approach
- 3.4.2 Create Planetarium at Unity
- 4 Result
- 5 Conclusions
- References
- Interactive Visualization for Analysis of Air Traffic Model
- Abstract
- 1 Introduction
- 2 Method
- 2.1 Air Traffic Model
- 2.2 Visualization Program
- 2.3 Large-Scale Visualization Using the Fly-Through Program
- 3 Results and Discussions
- 3.1 Visualization Results
- 3.2 Large-Scale Visualization
- 4 Conclusion
- Acknowledgements
- References
- Geometrical Universality of Truss-Z System
- Abstract
- 1 Introduction
- 1.1 What Is an Extremely Modular System?
- 2 Why the Truss-Z Module Is Trapezoidal in the XY Plane?
- 2.1 Tiling of TZMs in the Horizontal Plane
- 2.2 Branching
- 3 The Measurement of Universality of a Single-Branch TZ
- 4 Conclusions
- Acknowledgements
- References
- Interaction Between 3D Printing and Geometry Studies
- Abstract
- 1 Introduction
- 1.1 3D Printing
- 1.2 3D Modeling
- 1.3 Relationship to Education
- 2 Visual Modeler-Tinkercad
- 2.1 Primitives in Tinkercad
- 2.2 Design with Applying Boolean Operators
- 3 Modeling with Codes-OpenSCAD
- 3.1 3D Primitives
- 3.2 Transformations and Boolean Operators
- 4 New Concepts Needed to Design 3D Printable Solids in FDM
- 4.1 Raft
- 4.2 Support
- 4.3 Orientation and Splitting Models
- 5 Case Study
- 5.1 Tinkercad
- 5.2 OpenSCAD
- 6 Conclusions
- References
- The Story of NanoJesus: Combining 3D Scanning and Femtosecond Laser Nanolithography for the Fabrication of the Smallest Nativity Scene in the World
- Abstract
- 1 Introduction
- 2 The Scanning Process
- 2.1 3D Modeling Process
- 3 Nano Fabrication
- 3.1 Technology
- 3.2 Size of the Model (Sculpture)
- 3.3 Process
- 4 Result
- 5 Business and Academia Partnership
- 6 Conclusions
- References
- V Engineering Computer Graphics
- Geometrically Constrained Surface (Re)Construction
- 1 Introduction
- 2 The Rational Cubic Gregory Patch (RCGP) Model
- 3 The Modified Rational Cubic Gregory Patch (RCGP) Model
- 4 Fairing the Modified Rational Cubic Gregory Patch (RCPG) Model
- 5 Numerical Results
- 6 Conclusions
- References
- Challenges in Modelling Complex Geometry in Historical Buildings for Numerical Simulations
- 1 Introduction
- 2 Recording the Complexity of Existing Buildings
- 3 Approach to Structural Modelling
- 3.1 Modelling Geometric Complexity
- 3.2 Modelling Approximation and Improvement
- 3.3 Speeding up Modelling Process: Automated Modelling
- 4 Application and Results
- 4.1 Simple Banded Vault Over Walls and Buttresses
- 4.2 Application to Masonry Vaults
- 4.3 Application to Complex System: Milan Cathedral
- 5 Conclusions
- References
- Transient Finite Elements Analysis of Thin-Walled Structure in Selective Laser Melting Process
- Abstract
- 1 Introduction
- 2 Basic Steps and Theory of Transient Finite Element Analysis
- 3 Arrangement of Scanning Strategies
- 4 Analysis of Temperature Field
- 5 Analysis of Stress Field and Warping Deformation
- 6 Conclusions
- Acknowledgements
- References
- Three-Dimensional Modeling and Finite Element Analysis of Cycloid Hyperbolic Arch Dam
- Abstract
- 1 Introduction
- 2 Modeling of Mathematical Model of Cycloid Arch Dam
- 2.1 The Establishment of the Arch Dam Engineering Coordinate System
- 2.2 Calculation of Arch Ring of Cycloid Arch Dam
- 3 Stress Calculation of Cycloid Arch Dam
- 3.1 Shear Force Calculation of Arch Crown Beam
- 3.2 Axial Force Calculation of the Arch Crown Beam
- 3.3 Bending Moment Calculation of Arch Crown Beam
- 3.4 Radial Displacement Calculation of Cantilever Beam Under Loading
- 4 Finite Element Stress Analysis of Cycloid Arch Dam
- 4.1 The Establishment of ANSYS 3D Model
- 4.2 Stress Analysis Results Under Various Loads
- 5 Conclusion
- References
- Mixing of Fluids with Space-Filling Curves
- Abstract
- 1 Space Filling Curves
- 2 Lindenmayer System
- 2.1 Turtle Graphics
- 3 Curve Generator
- 4 Coding
- 4.1 Basic Structures
- 4.2 Proof
- 4.3 Binarity
- 5 Applications
- 6 Conclusion
- References
- Electronic Geometric Modeling Is the Basis of Modern Geometric-Graphic Education in the Technical University
- Abstract
- 1 Introduction
- 2 Geometric Modeling
- 3 The Content of the Academic Discipline
- 4 Conclusion
- References
- The Optimization Algorithm for Gait Planning and Foot Trajectory on the Quadruped Robot
- Abstract
- 1 Introduction
- 2 Static Gait Stability and Parameter Design
- 3 Simulation Experiment and Comparison
- 4 Conclusion
- References
- Analytic Approach to Finding Lines in Images and Estimating Their Uncertainty
- 1 Introduction
- 2 General Paradigm for Finding Geometric Curves
- 3 Analysis for Lines
- 4 Numerical Analysis
- 4.1 Nyquist Sampling Rate
- 4.2 Analytic Maxima from Candidate Peaks
- 4.3 Covariance Propagation and Confidence Envelopes
- 5 Numerical Testing
- 6 Future Work and Conclusions
- References
- Geometric Fitting, Registration and Identification for Large Sets of Spatial Measurement Data
- 1 Introduction
- 2 Cylinder Fitting by Orthogonal Distance Regression
- 3 Rasterization and Morphological Operations
- 4 Regularized Derivative and Curvature Computation
- 5 Identification and Registration
- 6 Conclusion and Future Work
- References
- 3-D Reconstruction of Bubbles Inside Valve Based on Multi-mirrors Imaging
- Abstract
- 1 Introduction
- 2 3D Measurement Model
- 2.1 Camera Model
- 2.2 Extraction of Features
- 3 Experiment
- 3.1 Experimental Setup
- 3.2 Calibration and 3D Reconstruction
- 4 CBR-Based Cavitation Analysis
- 4.1 Establishment of the CBR Database
- 4.2 Parameter Design and Cavitation Analysis
- 5 Conclusion
- Acknowledgements
- References
- Facial Expression Recognition Base on Weighted KNN and RF
- Abstract
- 1 Related Algorithm Description
- 1.1 The Basic Principle of Weighted KNN Algorithm
- 1.2 The Basic Principle of Random Forest
- 2 Weighted KNN Combined with Random Forest Algorithm
- 2.1 Algorithm Description
- 2.2 Validate Classifier Validity
- 3 Experimental Results and Analysis
- 4 Conclusion
- References
- Directing Scheme Support Method Based on Analysis of Angry Characters
- Abstract
- 1 Introduction
- 2 Related Work
- 3 Preliminary Investigation on Anger
- 3.1 Classification in Related Work
- 3.2 Analysis of Anger Elements
- 4 Development of Template Data
- 4.1 Development of Lighting Template
- 4.2 Development of Camera Work Template
- 5 Development of Angry Scrapbook
- 5.1 Overview of Angry Scrapbook
- 5.2 Instructions for Using Angry Scrapbook
- 6 Experiment
- 6.1 Overview of Experiment
- 6.2 Experimental Result
- 7 Conclusion
- References
- Generating Videos Based on Convolutional Recurrent Generative Adversarial Networks
- 1 Introduction
- 2 Related Works
- 2.1 Convolutional Neural Networks
- 2.2 Recurrent Neural Networks
- 2.3 Generative Adversarial Networks
- 3 Experiments
- 4 Future Works
- References
- Study on Adaptive Threshold Image Processing Method for Detection of Vaccine Activity
- Abstract
- 1 First Section
- 2 Segmentation of Embryo Egg Contour
- 3 Embryo Egg Blood Vessel Extraction
- 4 Creating a Model for the Identification of Egg Activity
- 5 Experiment and Result Analysis
- 6 Conclusion
- References
- A Creo-Based Modeling and Toolpath Generating System for the NC Whirling Process of Propeller Blades
- Abstract
- 1 Introduction
- 2 Overview of the Proposed Approach
- 2.1 The Whirling Process of Propeller Blade Surface
- 2.2 Basic Structure of the CAD/CAM System for the Whirling Process
- 3 Parametric Modeling of a Propeller Blade
- 4 Toolpath Generation
- 5 Implementation
- 6 Conclusion
- Acknowledgements
- References
- Aircraft Target Recognition in Remote Sensing Images Based on Saliency Maps and Invariant Moments
- Abstract
- 1 Introduction
- 2 The Algorithm Flowsheet
- 3 Experiment Comparison and Analysis
- 4 Conclusion
- Acknowledgements
- References
- The Configuration Design and Analysis of a Small Air-Land Amphibious Detecting Robot
- Abstract
- 1 Overall Design of the Small Air-Land Amphibious Robot
- 2 Overall Design of the Integrated Air-Land Amphibious Robot
- 2.1 Configuration Scheme Based on 2-DOF Leg Mechanism
- 2.2 Configuration Scheme Based on 3-DOF Leg Mechanism
- 3 Overall Design of the Combinatorial Air-Land Robot
- 4 Comparison and Selection of Design Schemes
- 5 Conclusion
- References
- Curves with Special Aesthetics Generated by an Original Mechanism
- Abstract
- 1 Introduction
- 2 The Generating Mechanism
- 3 The Kinematics of the Mechanism
- 4 Aesthetic Curves Plotted for n Taking Integer Values
- 4.1 Coefficient n = 2 k + 1, k ? N
- 4.2 Coefficient n = 2k, k ? N
- 5 Aesthetic Curves Plotted for n Taking Fractional Values
- 5.1 Coefficient n Is a Multiple of 2
- 5.2 Coefficient n not Divided by 2
- 6 Some Mathematical Properties of the Curves Generated
- 6.1 The Calculation of the Curvature in a Current Point of the Curve
- 6.2 The Calculation of the Curvature Radius of the Curve (C) in a Current Point
- 6.3 The Equation of the Tangent to the Curve (C) in a Current Point
- 6.4 The Equation of the Normal to the Curve (C) in a Current Point
- 6.5 The Study of the Symmetries of the Curve (C) with Respect to the Coordinate Axes (Ox axis and Oy axis) and with Respect to the Origin O
- 7 Conclusions
- References
- Tensile Structure Form-Finding on the Basis of Properties of Frame-Grid Template
- Abstract
- 1 Introduction
- 2 Frame-Grid Template
- 3 Relaxation
- 4 Grid Adaptation
- 5 Elimination of Negative Effect
- 6 Quick Structure Editing
- 7 Pre-stress Orthotropy
- 8 Conclusion
- Acknowledgements
- References
- Orthographic Drawings Minting: Testing for Indeterminate Solid Models Caused by Underrepresentation
- Abstract
- 1 Introduction
- 1.1 Background
- 2 Underrepresentation Case Studies
- 2.1 Underrepresentation by "Deficiency"
- 2.2 Underrepresentation by Superposition
- 2.3 Solid Analysis
- 2.4 Multipartite Analysis
- 3 Conclusion
- References
- From Orthographic Drawings to Editable Models of Simple Solid Using "Reconstruction-Recomposition" Coupled with Feature Recognition
- Abstract
- 1 Introduction
- 2 Reconstruction with Design Intent
- 2.1 Reconstruction
- 2.2 Features and Design Intent
- 3 Solid Modelling
- 4 Reconstruction-Recomposition
- 5 Case Study
- 5.1 Manufacturing Features
- 5.2 Results
- 6 Conclusions
- References
- Solving Applied Geometric Design Problems with the Use of 3D-CAD
- Abstract
- 1 Introduction
- 2 Characteristic Features of Descriptive Geometry and 3D-CAD
- 3 Applied Geometric Design Problems
- 3.1 Use of Projection from a Specified Direction
- 3.2 Use of Development
- 3.3 Use of Sectioning
- 3.4 Use of Assembly Constraints in 3D-CAD
- 4 Summary and Conclusions
- References
- Research on Parametric Modeling of Cable-Stayed Bridge Based on BIM
- Abstract
- 1 Introduction
- 2 Revit Secondary Development Process
- 2.1 Program Development Process
- 2.2 Interface Generation and Plug-in Module Design
- 3 Model Construction of Various Parts of Cable-Stayed Bridges
- 3.1 Modeling Ideas
- 3.2 Key Technologies of Parametric Modeling
- 4 Application Examples
- 5 Conclusion
- References
- Attribute in Formation on Three-Dimensional Annotated Models
- Abstract
- 1 Introduction
- 2 Examination of Designing and Transmission of Design Information Using 3D Annotated Models
- 2.1 Lack of Information Other Than Shape That Are Indispensable for Manufacturing
- 2.2 No Unified Rules
- 2.3 Representation of Attribute Information
- 3 Advantages of Developing 3D Annotated Models
- 4 Basic Requirements for 3D Mechanical Design
- 4.1 Comprehension of Drawings
- 4.2 Origin of Mechanical Design
- 4.3 Passing on of Skills
- 5 Application of 3D Annotated Models
- 5.1 Planning Phase
- 5.2 Conceptual Design Phase
- 5.3 Basic Design Phase
- 5.4 Detailed Design Phase
- 6 Training Method and Contents for Beginners in Mechanical Design
- 7 Examples of Practical Training Method for Beginners in Mechanical Design
- 7.1 To Improve 3D Space Recognition Ability
- 7.2 Contriving of Shapes
- 7.3 Use of Examples of Determining Ambiguities in Designing
- 7.4 Design Skills and Know-How
- 8 Conclusions
- VI Graphics Education
- From the Plan to the 3D Model Through Folding. Case Studies in Fashion Design
- Abstract
- 1 Introduction
- 2 Study Topic
- 2.1 Folding Surface. from Its Origins to Its Development in Contemporary Fashion Design
- 3 Materials and Methods
- 3.1 "Between the Lines": From the Folding Surface to the Fashion Project
- 4 Conclusions
- References
- Byrne's Euclidean Geometry Revisited with Geogebra
- Abstract
- 1 Oliver Byrne's Euclid
- 1.1 Byrne's Semiotic Approach
- 1.2 Byrne's System
- 2 Theoretical Framework
- 2.1 The Theory of Semiotic Mediation
- 2.2 The Role of Dynamic Geometry Softwares
- 3 The Experiment
- 3.1 The Classes
- 3.2 The Activities
- 4 Results and Further Issues
- References
- Drawing Geometry: A Laborious History in Italian School
- Abstract
- 1 The Role of Drawing in the Teaching and Learning of Geometry
- 1.1 The Archetype
- 1.2 Modern Theoretical Approaches
- 2 Geometry and Drawing in Italian Curricula
- 2.1 Luigi Cremona
- 2.2 The Gentile Reform
- 2.3 Le Nuove Indicazioni
- 3 Epistemological Debates
- 3.1 Vailati and Enriques
- 3.2 Italian Schools and the New Maths
- 4 Conclusion: Didactic Issues and the Role of Dynamic Geometry Softwares
- References
- Formation of Competence in Students of Technical University for 3D-Modeling and Prototyping of the Objects
- Abstract
- 1 Introduction
- 2 Participation in Olympiads on Geometric Modeling and Prototyping
- 3 The Program of Support of Talented Students
- 4 Conclusion
- References
- A Course on Geometric Dimensioning and Tolerancing: Overview and Initial Assessment
- Abstract
- 1 Introduction
- 2 Course Description
- 2.1 Course Objectives
- 2.2 Outline of Main Topics and Structure of Course
- 2.3 Example of Laboratory Activity
- 3 Summary of Assessments
- 3.1 Pretest
- 3.2 Online Quizzes
- 3.3 Tests and Final Exam
- 4 Analysis of Student Performance
- 4.1 Analysis of Pretest Items, Tests, Quizzes, and Exam
- 4.2 Analysis of Laboratory Assignments
- 5 Conclusions and Recommendations
- References
- Design-Based Learning Supported by Empirical-Concrete Learning Objects in Descriptive Geometry
- Abstract
- 1 Introduction
- 1.1 Early Initiatives
- 1.2 A New Development
- 2 Empirical-Concrete Learning Objects
- 3 Using the Objects
- 4 Discussion
- 5 Conclusions
- References
- Mathegraphics
- 1 From Interdisciplinarity to Dialogical Educational Models
- 2 The Mathegraphic Workshop
- 2.1 Tessellation Between Geometry and Graphics
- 2.2 Tessellation and Déco Hydraulic Mosaic
- 2.3 The Dialogic Approach to the Study of the Hydraulic Mosaic Through Geometry and Graphics
- 3 Through the Algebraic Mirror and What Alice Found There
- 3.1 Isometries of the Plane: A Linear Algebra Description
- 3.2 Tessellations of the Plane
- 4 Conclusions
- References
- Teaching Geometry and Surfaces Evaluation Through Graphic Representation and Dynamic Paper Models
- Abstract
- 1 Introduction
- 2 Premises
- 3 Context
- 4 The Lesson
- 4.1 Brief Description of the Tools
- 4.2 Procedures
- 4.3 Topics Insights
- 5 Conclusions
- References
- Geometrography Revised and Enlarged: A Brazilian Geometer's Approach to Émile Lemoine's Work
- Abstract
- 1 Introduction
- 2 Lemoine's Original Concept of Geometrography and Some of Its Variations
- 3 Pinheiro's Approach to Geometrography
- 4 Pinheiro's Geometrography Today
- References
- Is the Constructional Drawing an International Language for Engineers?
- Abstract
- 1 Introduction
- 2 DIAD-Tools Project-General Principles
- 3 Graphic Symbols Applied in Countries of Project Partners-Comparison of Source Materials
- 3.1 Lines
- 3.2 Dimensioning
- 3.3 Projection Methods
- 3.4 Construction Drawings
- 4 CAD Systems in Technical Drawing Are Giving the Universal Language for Engineers?
- 5 Conclusions
- References
- Application of Augmented Reality in the Compilation and Publication of Cartographic Textbooks
- Abstract
- 1 Introduction
- 2 Features and Advantages of Augmented Reality Technology
- 2.1 Needs to Improve the Function of University Textbooks
- 2.2 Requirements for the Development of Drawing Textbooks in the Mobile Internet Era
- 3 The Use of Cartographic Materials Based on Augmented Reality Technology
- 4 The Advantages of Augmented Reality Technology in the Publication of Cartography Textbooks
- 4.1 Increase the Dynamics
- 4.2 Enhance Interactivity
- 4.3 Produce Fun
- 5 The Application of Augmented Reality Technology in the Publication of Textbooks
- 5.1 Amalgamation of Augmented Reality and Publishing
- 5.2 The Basic Paradigm of Augmented Reality Publications
- 6 Summary
- References
- New Analog for the Digital Age: Adjusting Simultaneousness for Self-explanatory Delineation of Architectural and Urban Projects in Public Presentations or: a "Nolli Isometric"
- Abstract
- 1 New Analog for the Digital Age: What for?
- 2 New Expectations
- 3 Rules of Thumb for an Appealing Simultaneousness Plan
- 4 Anatomy of a Simultaneousness Plan
- 5 Let Us Draw Isometric Nolli Maps: Buildings in X-Ray Vision
- 6 Graphic Recommendations
- 7 Importance, Cognitive Biases and Factors of Intelligibility
- 8 Meta Effects: Learn to Reduce Complexity by Means of Freehand Drawing and Amplify Campus Understanding
- References
- Biomimetical Approach in Training Students of Technical Institutes in Graphic Disciplines with Aim of Developing Creativity and Formation of Professional Culture of the Engineer
- Abstract
- 1 Introduction
- 2 Methodology
- 3 Results
- 4 Conclusions
- References
- Shell Tessellation-Research-Based Design Strategies Between Architecture and Mathematics
- Abstract
- 1 Introduction
- 1.1 Methodology
- 1.2 Tessellations and Shells
- 2 Case Studies
- 2.1 Wafer Saddle
- 2.2 Reciprocal Tubes
- 2.3 Zebra Pattern
- 3 Conclusion
- References
- Research on the Effect of Providing User Interaction for Graphic Education
- Abstract
- 1 Introduction
- 2 Background and Motivation
- 3 Related Research
- 4 Approach
- 4.1 Digital Content Interaction
- 4.2 Design Workshops
- 5 Observation and Discussion
- 5.1 Effects of Watching the Interaction Video
- 5.2 Additional Observations
- 6 Conclusion and Future Plan
- Acknowledgements
- References
- Practical Skills in AutoCAD Through a Mass Open Online Course
- Abstract
- 1 Introduction
- 2 Structure of the Course
- 3 Structure of the Course
- 3.1 Demonstration: Learning Is Promoted When Learners Observe a Demonstration of the Skill to Be Learned
- 3.2 Problem-Centred: Learning Advances When Students Acquire Skills in the Context of Real Problems
- 3.3 Activation: Learning Is Promoted When Learners Activate Existing Knowledge and Skill as a Foundation for New Skill
- 3.4 Application and Integration
- 4 Advantages and Disadvantages of Learning Through the MOOC
- 5 Conclusion
- References
- Comparative Analysis of Teaching in Geometric Surfaces at Architectural Faculties in Nis and Tokyo
- Abstract
- 1 Introduction
- 2 Program of the Subject GSA on the Faculties in Nis and Tokyo
- 2.1 Comparative Analysis of Program of the Subject GSA on Faculties in Nis and Tokyo
- 3 Content of the Subject GSA
- 3.1 Content of the Subject GSA on FCEA in Nis
- 3.2 Content of the Subject GSA on FEDHU in Tokyo
- 3.3 Comparative Analysis of Subject's Content
- 4 Methodology of Teaching of the Subject GSA on the Faculties in Nis and Tokyo
- 4.1 Comparative Analysis of Teaching Methodology of Subject GSA
- 5 Evaluation of the Subject GSA on the Faculties in Nis and Tokyo
- 5.1 Evaluation of the Subject GSA on FCEA in Nis
- 5.2 Evaluation of the Subject GSA on FEDHU in Tokyo
- 5.3 Comparative Analysis of Evaluation of the Subject GSA
- 6 Models of Teaching the Subject GSA
- 7 Conclusion
- References
- Quality Management of Engineering Graphics Teaching
- Abstract
- 1 Introduction
- 2 Literature Review
- 3 Aim and Research Problems
- 4 Materials and Methods
- 5 Results of the Research
- 6 Conclusion
- References
- Digitizing Spatial Visualization Tests
- Abstract
- 1 Introduction
- 2 Digitalization of MRT and MCT
- 3 Application of the Test
- 4 Analysis of Results
- 5 Results of Both Tests from the FA
- 5.1 Results in the 2016/2017 Academic Year
- 5.2 Results of MRT and DMRT
- 5.3 Results of DMCT
- 5.4 Comparison of DMRT and DMCT Results
- 5.5 Correlation Between (D)MRT and DMCT Results
- 6 Results of Both Tests from the CE
- 6.1 Results of DMRT and DMCT
- 6.2 Correlation Between DMRT and DMCT Results
- 7 Conclusion
- References
- Creative Graphics Education Potential for Creativity of Hospitality Students via Virtual Environment
- Abstract
- 1 Introduction
- 2 Methodology
- 3 Case Experiment
- 3.1 Interactive Graphic Changing
- 3.2 Guest Room Design Example
- 4 Results
- 5 Discussion and Conclusion
- Acknowledgements
- References
- Reinterpret Whith Estrus. Creativity and Science in the Drawing Workshops of the Degree Course in Communication Design
- Abstract
- 1 Introduction
- 2 Graphic Representation and Drawing
- References
- Character Making Education by DREAM Process
- Abstract
- 1 Introduction
- 2 Related Work
- 3 Educational Tool for Character Making
- 4 Educational Case Examples
- 5 Conclusion
- References
- Teaching 3D Character Animation Through Four Related Tasks
- Abstract
- 1 Introduction
- 2 Four Tasks Topics
- 2.1 Project
- 2.2 First Project Task
- 2.3 Second Project Task
- 2.4 Final Project
- 3 Results
- 4 Conclusion
- References
- The Effect of a Two-Dimensional Optical Illusion Pattern on the Three-Dimensional Interpretation of Objects Using Café Wall "Illusion Blocks"
- Abstract
- 1 Introduction
- 2 Materials and Methods
- 2.1 "Illusion Block WS"
- 2.2 The Café Wall Illusion and Illusionary Blocks
- 3 A New Idea About 3D Interpretation of the Café Wall Illusion
- 4 Analysis of Knowledge Accumulation on the Café Wall Illusion in the WS Series
- 5 Conclusion
- References
- Non-conventional Representation for Urban Design: Depicting the Intangible
- Abstract
- 1 Introduction
- 2 Conventional and Non-conventional Representation
- 3 The Application in Higher Architectural and Planning Education
- 4 Reflections on the Representation Outcomes
- References
- A Revised Project-Based Learning Program on Geometry-Maximizing the Volume of Solid
- Abstract
- 1 Introduction
- 1.1 Background
- 1.2 The Course Structure
- 2 The Small PBL on Geometry in 2017
- 2.1 The Schedule
- 2.2 The Problem
- 2.3 Expected Subtasks
- 2.4 The First-Year Result
- 3 The Expected Optimal Solution
- 3.1 The Optimal Height of the Triangular Faces
- 3.2 The Optimal Proportion of the Bottom Face
- 3.3 The Optimal Net Orientation
- 4 The Revised Small PBL on Geometry in 2018
- 4.1 Week-1: The Preliminary Project
- 4.2 Subsequent Weeks
- 4.3 Expected Subtasks
- 4.4 Self-evaluation Rubric and Reports by Facilitators
- 5 Temporary Result in 2018
- 5.1 Week-1: The Preliminary Project (A4 Container)
- 5.2 Week-2: The Main Project (Elongated Square Pyramid)
- 6 Conclusion
- References
- A Multiview Interactive Interface for the Solution of Descriptive Geometry Problems
- Abstract
- 1 Introduction
- 2 New Methodology
- 3 The Software
- 4 Applications
- 5 Conclusion
- References
- Physical-Digital. Defining the Architectural Space
- Abstract
- 1 Introduction
- 2 Education
- 3 Representation
- 4 Triangulation
- 5 Creation
- 6 Conclusions
- References
- Challenges and Promises of Mobile Devices Usage for Spatial Visualization Skills Assessment in Technical Drawing for Engineering Course
- Abstract
- 1 Introduction
- 2 Methodology
- 2.1 Collecting and Processing Data
- 3 Results and Discussion
- 3.1 Descriptive Statistics
- 3.2 Mobile Devices Versus PC
- 3.3 Gender Differences
- 4 Conclusion
- Acknowledgements
- References
- Basic Modelling Education to Obtain 3D Spatial Perception for Design Beginners
- Abstract
- 1 Introduction
- 1.1 Background and Purpose
- 1.2 Preceding Studies
- 2 Methods
- 2.1 Methods and Materials
- 2.2 Overview of Materials
- 2.3 Pre-analysis
- 3 Results and Discussion
- 3.1 Analysis on Appearance Frequency
- 3.2 Evaluation Structure
- 4 Conclusions
- Acknowledgements
- References
- Systematic Review of a Flipped Learning Model for the Courses of Descriptive Geometry, Engineering and Computer Graphics
- Abstract
- 1 Introduction
- 2 Literature Review
- 3 Results
- 4 Discussion
- 5 Conclusion
- References
- The Importance of Circular References, Architectural Modeling, Digital Project and Collaborative Actions in the Architecture Learning
- Abstract
- 1 Architectural Scenery
- 2 References Circulars
- 3 Collaborative Actions
- 4 Architectural Modeling
- 5 Bibliographic Review
- 6 Creative Potential
- 7 Conclusion
- References
- Didactic Experiences on Digital Modeling. Anamorphosis
- Abstract
- 1 Introduction
- 2 Didactic Strategy
- 3 Anamorphosis
- 3.1 Methodology
- 3.2 Results
- 3.3 Implementation
- 4 Conclusion
- Acknowledgements
- References
- Research and Practice of the Mixed Teaching Mode for Engineering Graphics Based on MOOC
- Abstract
- 1 Introduction
- 2 Construction and Application
- 3 Characteristics of the Two MOOCs
- 3.1 Integrating Teaching Content
- 3.2 Providing Diverse Online Teaching Resources
- 3.3 Online Interactive Discussion Questions
- 3.4 Various Online Job Evaluation Models
- 3.5 Learning Statistics
- 3.6 Asynchronous SPOC Mode Based on MOOC
- 4 Online and Offline Mixed Teaching Mode
- 5 Effectiveness
- 5.1 Student' Feedback
- 5.2 Social Influence
- References
- VII Geometry and Graphics in History
- Graph Theory and Music: A Mathematical Tool for Musicians
- 1 Introduction
- 2 Graph Theory and Music in the 17th, 18th and 19th Centuries
- 3 Graph Theory and Music in the 20th Century
- 4 Generalized Tone-Networks
- 5 Generalized Chord-Networks
- 6 Conclusions
- References
- A Contribution to the History of Representation. The Unpublished Treatise by Matteo Zaccolini
- Abstract
- 1 Reading the Past to Understand the Present Looking at the Future
- 2 The Theory of Shadows Generated by Point Sources of Light on Planes, Cylinders, and Cones
- 3 The Theory of Shadows Generated by Extended Luminous Bodies
- 4 Conclusion
- Acknowledgements
- References
- Phonurgia Nova. Geometrical Acoustics in the 17th Century
- Abstract
- References
- Perspective Analysis of the Inlaid Wood Panel from Duomo of Bergamo
- Abstract
- 1 The Choir of Santa Maria Maggiore
- 2 Analysis of L'Annunciazione
- 3 Conclusion
- References
- De l'Orme's Graphics Language: Between Stereotomy and Orthogonal Proto-Projection
- Abstract
- References
- Ludovico Cardi Said "Il Cigoli". Practical Treaty of Perspective: Innovative Aspects and Intuitions
- Abstract
- 1 Introduction
- 2 The Second Perspective Rule
- 2.1 On How to Built il luogo della sciena
- 2.2 On Scenic Illusions: piani in maestà, piani in sfuggita e piani obliqui
- 2.3 De gl'aggetti nelle pareti per scorcio (About the Overhang of Walls in Foreshortened), 66v
- 2.4 Conclusion
- References
- Drawings and Models in English Perspective Treatises of the XVII and XVIII Centuries
- Abstract
- 1 Books and Moveable Elements
- 2 English Treatises on Perspective
- 3 Some Possible Origins
- 4 Conclusion
- References
- Geometry as a Tool to Manage the Territory. Nicolaas Cruquius and the Map of the Merwede
- Abstract
- 1 Cartography in the Netherlands: Quantity and Quality
- 2 The Cruquius Brothers and the Map of Delfland
- 3 Edmund Halley's Map of Magnetic Declination
- 4 Nicolaas Cruquius and the Map of the Merwede
- 5 The Map of the Merwede as an Example
- 6 Conclusions
- References
- The Quincunx as Architectural Structure. Geometry and Digital Reconstructions After Leonardo Da Vinci's Centralized Plan Temples
- Abstract
- 1 Introduction
- 2 History and Evolution of the Quincunx
- 3 Leonardo's Studies on the Quincunx
- 3.1 Enquiring, Reconstructing, Modeling
- 4 Considerations on Leonardo's Design Concepts
- 4.1 The Question of the Wall Thickness
- 5 Considerations
- 6 Conclusions
- Acknowledgements
- References
- La Géométrie Pratique. Survey Manuals in France Between the 18th and 19th Centuries
- Abstract
- 1 Architectural Survey Practices in France Between the 18th and 19th Centuries: Manuals as a Documentary Source
- 2 Technical Manuals on Surveying
- 2.1 The Topics
- 2.2 The Authors
- 2.3 The Addressees
- 2.4 Content Structure and Organisation
- 3 Geometry and Practical Geometry: Instruments and Methods
- 4 Conclusions
- References
- DIN-DON-DAN-Bells and Their Geometry
- Abstract
- 1 Introduction
- 2 Development
- 2.1 Definition
- 2.2 Bronze Bells
- 2.3 Bells, Their Parts and Sounds
- 2.4 Geometric Modelling of Bell Ribbons
- 2.5 Phenomena Occurring When Ringing the Bell
- References
- Geometry/Time Measurement/Sundials Graphical Resolution via Algorithmic and Parametric Processes
- Abstract
- 1 Introduction
- 1.1 Aim and Structure of the Paper
- 2 Materials and Methods
- 2.1 The Celestial Vault/Earth System, a Parametric Approach
- 2.2 Constructions Employing Monge's Orthogonal Projection Method
- 2.3 Homological Transformations Between Dials
- 2.4 The Gnomonic Column and the Cylindrical "Filtering Hat" Dial
- 2.5 Proposal for a "Filtering Hat" Variant
- 3 Conclusion
- Acknowledgements
- References
- Digital Renovation and Archives of Japanese Ancient Ritual Performance at the World Cultural Heritage
- Niutsuhime Shrine
- Abstract
- 1 Introduction
- 2 About Niutsuhime Shrine and Bugaku Mandala-Ku
- 3 Method of Reproduction
- 3.1 Sogon-Zu
- 3.2 The Modeling of Building and Niutsuhime Shrine Grounds
- 3.2.1 Modeling of the Topography
- 3.2.2 Modeling and Arrangement of Buildings
- 4 CG Animation
- 4.1 Video Shooting and Motion Capture of Bugaku
- 4.2 Bugaku Animation
- 5 Conclusion
- Acknowledgements
- References
- A Study on Site Planning of Mountain Temples Through Scene Transition Along the Visiting Route by MOTATION: Case Study of Muroji, Hasedera, and Kinpusenji Temples in Japan
- Abstract
- 1 Introduction
- 2 Method
- 2.1 MOTATION
- 2.2 Sites Studied
- 2.2.1 Muroji Temple
- 2.2.2 Hasedera Temple
- 2.2.3 Kinpusenji Temple
- 3 Results and Discussion
- 4 Conclusion
- References
- The Study of "Deconstructivism" in the Field of Architecture
- Abstract
- 1 Introduction
- 2 Methods
- 3 Results and Discussion
- 3.1 Definition of "Deconstructivist Architecture" by Two Curators
- 3.2 Comparison of Thought and Discourse Between Derrida and Tschumi
- 3.3 Application of the "Deconstruction" Theory Seen in Tschumi's Work
- 4 Conclusion
- References
- Sharawadgi and Penetrating Space in Chinese Classic Gardens
- Abstract
- 1 A Misreading: Sharawadgi
- 1.1 Literature Review of Sharawadgi Research
- 1.2 The Possible Positive Meaning from Misreading
- 2 Brief Introduction of Wangshi Garden
- 3 Penetrating Space in Chinese Classic Gardens
- 3.1 Basic Data Review of Wangshi Garden
- 3.2 Penetrating Space in Irregular Spatial Organization
- References
- Geometry in Advertising Graphics
- Abstract
- 1 Geometry Between Painting and Graphics
- 1.1 From Painting to Graphics
- 1.2 The Maîtres de l'affiche
- 2 A Critical Reading
- 2.1 Relationships, Proportions and Relations
- 2.2 A Reading from a New Point of View
- 2.3 From Photography to Digital Graphics
- 3 Conclusions
- References
- Leonardo da Vinci as a Scientist in Assessing the Encyclopedic Literature of Imperial Russia, the Soviet Union and the Russian Federation
- Abstract
- 1 Introduction
- 2 Leonardo da Vinci in the Encyclopedia of Imperial Russia
- 3 Evaluation of the Work of Leonardo da Vinci in the Encyclopedias of the Soviet Union
- 4 The Creativity of Leonardo da Vinci in the Encyclopedias of Modern Russia
- 5 Conclusion
- References
- Astronomy of Shadows and Light: Athanasius Kircher's Sundials Between Geometry, Perspective and Science
- Abstract
- 1 Introduction
- 2 Kircher's Sundials and the Epiphany of Physical Realities
- 3 Geometry, Conic Sections and Sundials
- 4 Conclusion
- References
- Design Method of Original Motifs and Decorative Patterns Using Geometric Baseline Derived from Japanese Crafts
- Abstract
- 1 Introduction
- 2 Method
- 2.1 Participants
- 2.2 Design Process
- 3 Result
- 3.1 Images of Selected Works
- 4 Discussion
- References
- Material Models of Ruled Surfaces as Witnesses to the Development of Mathematical Teaching
- 1 Ruled Surfaces
- 1.1 Definition of Ruled Surfaces
- 1.2 Typical Examples
- 1.3 History of Ruled Surfaces
- 2 Material Mathematical Models
- 2.1 First Teaching Models at the École Polytechnique
- 2.2 Further Scattered Models
- 2.3 Series Productions of Material Mathematical Models
- 3 Application of Ruled Surface Models in Current Teaching Projects
- 4 Conclusion
- References
- The Masonry Domes Over the Centuries: The Important Role of Geometry
- Abstract
- 1 Introduction
- 1.1 Historical Background
- 2 Parabola and Catenary
- 2.1 Mathematical Details
- 3 Masonry Domes
- 3.1 Pantheon in Rome
- 3.2 Santa Maria del Fiore in Florence
- 3.3 St. Paul's Cathedral in London
- 3.4 St. Peter's Dome in Rome and St. Gaudenzio's Dome in Novara
- 4 Catenary Monument
- 5 Conclusion
- References
- Theater and The Towns
- Abstract
- 1 Introduction
- 2 Theme and Analysis
- 3 Objectives
- 4 Method
- 5 Process
- 6 Results
- 7 Conclusion
- References
- Digital Approach to Michelangelo's Design. The Inner Light of Neoplatonic Geometry
- Abstract
- 1 Human Anthropometry and Animal Proportions
- 2 A Geometric Approach: Rationalism Versus Neoplatonism
- 3 Michelangelo's Works and Digital Shape
- References
- Abraham Bosse and the Perspective in Practice
- Abstract
- 1 Introduction
- 2 Perspective in Theoretical Terms
- 3 Perspective in Practical Terms
- 4 Conclusions
- References
- The Triad of Vitruvius in the Modern World
- Abstract
- 1 Elements of Architectural Language
- 2 Innovativeness of the Architectural Object
- 3 Stages of Innovative Architectural and Urban Planning Process
- 4 The Innovative Role of Information Technology in Solving Architectural-Urban Problems
- 5 The Role of Geometric Theory in the Creation of Innovative Architectural Object
- 6 Fractal Principles of Construction of Organized Space
- 7 Innovative Architectural-Urban Masterpieces of the Modern World
- 8 Conclusions
- References
- Geometry, Arithmetic, Architecture. Calculation Methods for Vault Surfaces in the Modo di Misurare le Fabriche by Guarini
- Abstract
- 1 Introduction
- 2 Measuring the Vaults in the Modo di misurare le fabriche
- 3 Reconstructing Guarini's Vaults by Digital Models
- 3.1 Simple Vaults: Barrel and Conic Vaults, Pendentives and Domes
- 3.2 Composed Vaults: Cloister, Groin, and Lunettes Vaults
- 4 Conclusion
- References
- The Influence of the Discovery of Prehistoric Pile Dwellings Around the Alps on Architect Hannes Meyer
- Abstract
- 1 Introduction
- 1.1 Research Background
- 1.2 Previous Studies
- 1.3 Aim, Method, and Research Materials
- 2 Reconstruction Plan of Prehistoric Pile Dwellings
- 2.1 The Sites of Pile Dwellings
- 2.2 Reconstruction of Pile Dwellings Around Alps by the 1920s
- 3 The Influence of Pile Dwellings on Hannes Meyer's Architectural Works
- 3.1 "Peters Schule" Competition Project (1926-27)
- 3.2 "League of Nations" Competition Project (1927)
- 3.3 The Concept of "Contemporary Pile Dwellings" in Teacher's Housing "ADGB Trade Union School" (1928-30)
- 4 Conclusion
- References
- Between Survey and Interpretation: The Ideal Shape of Flavian Amphitheater According to Carlo Lucangeli
- Abstract
- 1 Introduction to the Research
- 2 The Wooden Model of the Flavian Amphitheater as an Instrument of Knowledge and Communication
- 2.1 The Subdivision of the Model
- 2.2 The Discretization of the Model
- 3 Carlo Lucangeli and the Definition of the Ideal Model Between Observation and Interpretation
- Acknowledgements
- References
- Simulation of the Giant Wild Goose Pagoda in Immersive Virtual Reality Environment
- Abstract
- 1 Introduction
- 2 Objectives
- 3 Use of Software Programs in Simulating Ancient Structures
- 4 Modeling Method
- 5 Simulation Process
- 5.1 3D Model and Static Rendering
- 5.2 Dynamic Rendering
- 5.3 Interactivity
- 6 Real-Time Rendering Techniques in Lumion
- 7 Conclusion
- References
- VIII Posters
- The Golden Ratio and Jewelry Design
- Abstract
- 1 Introduction
- 2 Golden Ratio
- 3 The Grid for Harmonic Proportions
- 4 Final Considerations
- References
- Federated Parametric Models for Seismic Risk Analysis in Existing Buildings
- Abstract
- 1 Methodological Foreword
- 2 The Study Case: BIM Federated Models of the "G. Verdi" School Complex in Florence
- 3 Conclusions
- References
- Wallace-Simson Line in Four Cayley-Klein Planes
- 1 Introduction
- 2 Euclidean and Quasi-elliptic Plane
- 3 Pseudo-Euclidean and Quasi-hyperbolic Plane
- References
- Geometry of Conjugation of Curvilinear Channels of the Parts
- Abstract
- 1 Introduction
- 1.1 Actuality
- 1.2 Problem of Research
- 1.3 Research Problems
- 2 Foundations
- 2.1 General Approach
- 2.2 Conclusions on a Geometrical Problem
- References
- Designing by Rules: Parametric Workflow Behind ICGG 2018 Conference Logo
- Abstract
- 1 Input
- 2 Process
- 3 Output
- 4 Personal Thoughts and Conclusion
- References
- The Alexander Mosaic and the House of the Faun. The Iconic Light of Geometric Relationships
- Abstract
- 1 The Gran Mosaico
- 1.1 The Art of Composition and Its Rules. Within the Symphony of the Alexander Mosaic
- 2 The House of the Faun
- 2.1 The Iconic Light of Geometric Relationships
- References
- MRT as a Testing Instrument in Research on a Singular Aptitude Among Architecture Students
- Abstract
- 1 Research Aim and Methodology
- 2 Research Analysis and the Results
- 3 Comparison of the Results with the Earlier Research
- 4 Conclusions
- References
- Visual Simulation of Erosion Terrain Considering Different Materials
- Abstract
- 1 Introduction
- 2 Outline of Erosion Process
- 2.1 Apply Material Parameters to Terrain
- 2.2 Particle-Based Erosion
- 2.3 Definition of Differential Erosion
- 3 Implementation and Results
- 4 Conclusion and Future Work
- References
- Study on Analysis Support of Lubrication Phenomenon by Three-Dimensional CAD Development of Auxiliary Analysis Tool for CAD
- Abstract
- 1 Introduction
- 2 Method
- 2.1 Export and Import
- 2.2 Comparison with Conventional Analysis Method
- 3 Results
- 4 Consideration
- 5 Conclusions
- Parametrizing 3-Webs of Circles on Darboux Cyclides
- 1 Introduction to Darboux Cyclides and 3-Webs
- 2 Parametrizations of 3-Webs
- References
- Representation of an Object as a Semiotic Sign in Engineering
- Abstract
- 1 Composition of Drawings Through Communication Skills and Social/Material Interactions
- 2 From the Analysis of Peirce's Triadic Model to the Semiotic Activity of the Design Process
- 3 Conclusions
- Acknowledgements
- References
- Luca Pacioli: A Friend of Leonardo da Vinci De Divina Proportione in Capital Letters
- Abstract
- References
- Vilnius Cathedral Ceiling Interactive 3D Models-Exploration and Digitalization
- Abstract
- 1 Introduction
- 2 Geometrical Analysis of Rosettes and 3D Modelling
- 3 Interactive Web-Based System Model
- 4 Conclusions
- References
- Comparison with Expression on "Rakuchu Rakugai-zu", Scenes in and Around the Capital of Kyoto
- Abstract
- 1 Preface
- 2 Rakuchu Rakugai-zu
- 3 The Feature of Each Works
- 3.1 Rakuchu Rakugai-zu, Rekihaku a Version
- 3.2 Rakuchu Rakugai-zu, Funaki Version
- 4 Comparison of Depicted Objects
- 4.1 Expression by Oblique Projection
- 4.2 Depicted Purview on Rakuchu Rakugai-zu
- 5 Representation as a Request of the Times
- References
- Visual Art as Science
- Abstract
- 1 Foundation
- 2 To Project
- 3 Methodology
- 4 Process of Combining
- 5 Propaedeutic
- 6 Levels
- Spatial Analysis and 3D Modeling: Drawing the Cathedral of Brasilia in Different Software
- Abstract
- 1 Introduction
- 2 The Cathedral of Brasília
- 2.1 Building History
- 2.2 Formal Analysis
- 3 Digital Modeling
- 4 Conclusion
- References
- Learning Creative, Learning MOOC
- Abstract
- 1 Introduction
- 1.1 Development of Online Learning
- 1.2 MOOC in Europe: The European Multiple MOOC Aggregator EMMA
- 2 A MOOC as Support and Parallel Pathway to Traditional Teaching of Projective Geometry
- 2.1 A Sample in Graphic Education
- 2.2 Drawing Light
- References
- Projections: Applications from Geometric and Project Design Education
- Abstract
- 1 Introduction, Teaching and Application of Design
- 2 Conclusion
- References
- Kinematical Ruled Surfaces Based on Interrelated Movements in Axoids' Triad "Torse-Cone-Cone"
- Abstract
- 1 Introduction
- 2 Geometrical Model of Axoids' Triad "Torse-Cone-Cone"
- 3 Conclusions
- References
- Building Types and Narrative Development in Emaki-Comparing the Compositions of KASUGA GONGEN GENKI and Ishiyama-dera Engi Emaki
- Abstract
- 1 Introduction
- 2 Pictorializing Stories
- 3 Methods
- 4 Results
- 5 Consideration
- 6 Conclusion
- References
- A Study on Automatic Generation of Heating Patterns of Contour Maps for 2.5D Printing
- Abstract
- 1 Introduction
- 2 Method
- 3 Experiments
- 4 Summary
- Acknowledgements
- References
- Quadratic Characteristics of Workspace Curves of Generalized Planar Cable-Driven Parallel Mechanisms
- Abstract
- 1 Introduction
- 2 Description of Generalized Planar 4-Cable-Driven Mechanism
- 3 Workspace Curve Expression Deduction
- 4 Simulation Result
- 5 Conclusion
- Acknowledgements
- References
- Getting the Smallest Sphere Which is Tangent to Four Non-parallel Unlimited Skew Lines in General Positions Based on MATLAB
- Abstract
- 1 Introduction
- 2 Research Methodology
- 2.1 Building Function to Find the Minimum Value
- 2.2 VBA and MATLAB Mixed Programming
- 2.3 Program Flow and Result
- 3 Conclusion
- References
- Features of Teaching the Graphic Discipline Courses for Different Specialty Students
- Abstract
- 1 Introduction
- 2 Syllabuses of Graphic Disciplines
- 2.1 Descriptive Geometry
- 2.2 Engineering Graphics
- 2.3 Computer Graphics
- 3 Conclusions
- References
- A Study on Monozukuri Education in Karakuri Doll Production
- Abstract
- 1 Introduction
- 2 Karakuri Doll Production
- 3 Conclusions
- Acknowledgements
- References
- Determining Features of Volumes of Interest of Medical Ultrasound Images
- 1 Introduction
- 2 Selection of Objects
- 3 Finding the Volume of Interest
- 4 Computing the Volume Using Subdivision
- 5 Results
- 6 Future Work
- References
- The Modeling for Numerical Simulation of a Benchmark Model Based on CAD System
- Abstract
- 1 Introduce
- 2 The Description of BEAVRS and Modeling Procedure
- 3 Validation and Conclusion
- References
- Geometric Analysis and Engineering Application of Conic Section
- Abstract
- 1 The General Situation of the Plane Truncated Cone
- 1.1 Projective Projection of Elliptic Short Axis End Point Trails
- 1.2 Projection of the Rest of the Trajectory of the Elliptic Short Axis Endpoint
- 1.3 Mathematical Analysis of Parabola
- 2 Elliptic Projection Is a Special Case of a Circle
- 2.1 Geometric Analysis
- 2.2 Mathematical Analysis
- 2.3 The Correspondence Between a and ß
- 3 Spherical Curved Surface Engineering Application
- 3.1 Ball Shift Surface
- 3.2 Ball Shift Surface Approximate Production
- 3.3 Bend Pipes in Hydraulic Structures
- 4 Conclusion
- References
- An Algorithm for Computing Geodesic Curve Based on Digital Experiment of Point Clouds
- Abstract
- 1 Introduction
- 2 The Method of Point Clouds Digital Experiment
- 2.1 The Mathematical Model of the Line Orthographic Projected to the Conical Surface
- 2.2 The Principle of Orthographic Projected Curve Approaching the Geodesic
- 2.3 Algorithm Design for Geodesic Computing
- 2.4 The Correctness Verification of OPA Algorithm
- 3 The Generality of OPA Algorithm
- 3.1 Geodesics on Toroidal Surface
- 3.2 Geodesics on the Bspline Surface
- 4 Conclusions
- References
- Correction to: Geometrical Universality of Truss-Z System
- Correction to: Chapter "Geometrical Universality of Truss-Z System" in: L. Cocchiarella (Ed.), ICGG 2018-Proceedings of the 18th International Conference on Geometry and Graphics, Advances in Intelligent Systems and Computing 809. https://doi.org/10.1007/978-3-319-95588-9_101
- Author Index
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