ICGG 2020 - Proceedings of the 19th International Conference on Geometry and Graphics

Name: ICGG 2020 - Proceedings of the 19th International Conference on Geometry and Graphics
Brand: Springer
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Liang-Yee Cheng(Herausgeber*in)

Springer (Verlag)

Erschienen am 1. Dezember 2020

XVIII, 959 Seiten

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Intro
Editor's Preface to the Proceedings of the 19th International Conference on Geometry and Graphics
Organization
Program Committee
Local Organizing Committee
Organizing Staff
Sponsor
Support
Contents
Theoretical Graphics and Geometry
String Constructions of Quadrics Revisited
1 Introduction
2 Confocal Central Quadrics
3 String Constructions of Central Quadrics
4 Paraboloids
References
Space Kinematics and Projective Differential Geometry over the Ring of Dual Numbers
1 Introduction
2 Preliminaries
2.1 Projective Geometry over Dual Numbers
2.2 Space Kinematics
2.3 Straight Lines
3 Osculating Lines
4 Osculating Conics
4.1 Bennett Motions
4.2 Motions Based on Osculating Circles of Elliptic Geometry
5 Conclusion
References
Examples of Isoptic Ruled Surfaces
1 Introduction
2 General Results, Elementary Surfaces
3 Helical and Spiral Developables
3.1 Helical Developables
3.2 Spiral Developables
4 Algebraic Isoptic Ruled Surfaces
4.1 Some Special Polynomial Curves
5 Conclusion, Future Work
References
A One-Parameter Family of Triangle Cubics
1 Introduction
2 Prerequsites
3 Some Properties of the Cubics
4 Cubics Determined by Triangle Centers
5 How to Find Triangle Centers on Such Curves?
6 Future Work
References
Vermeer's Specific Ratio
Abstract
1 Introduction
2 Analysis of "Milk Maid"
2.1 "Milk Maid" Plan View and Projection Drawing
2.2 "Milk Maid" Scene and View Angle
2.3 "Milk Maid" Canvas Angles and Depicted Models
3 Camera Obscura and Frame Composition
3.1 Light Form and Floor Depiction
3.2 Appearance of the Floor
3.3 Definition of Euclid
4 Considerations
5 Conclusions
References
Perspective and Illusion in Four-Dimension: Droste-Effect in Four-Dimension Based on Escher's Work
Abstract
1 Introduction
1.1 Droste-Effect
1.2 Escher's Work
1.3 Inference
2 Method to Create Four-Dimensional Escher Grid
2.1 The Relationship Between Nesting, Perspective and Dimension
2.2 Generation Process of Four-Dimensional Escher Grid
References
Hidden Structures in Tessellations of Convex Uniform Honeycombs
Abstract
1 Introduction
2 Compound Models
2.1 Compound Models of the Considered Platonic and Archimedean Solids
2.2 Whole Compound 3-Models of the 3-, 6- and 9-Cube
3 Fractals and Fractal-Like Structures
4 Planar Patterns
5 Concluding Remarks
References
Geometry and Proportion: Materialization of an Architectural Carpentry Project
Abstract
1 Introduction
2 The Treatises
3 The Geometry of the carpintería de lazo
4 Formal Solutions
5 Future Developments: Digital Computational Design Tools
6 Conclusions
References
Factorization of Locus Polynomials Using DGS
1 Introduction
2 Example by Holfeld
2.1 Locus Equation
2.2 Decomposition
3 Tangential Quadrilateral
3.1 Locus Equation
3.2 Decomposition
References
A Spatial Generalization of Wallace-Simson Theorem on Four Lines
1 Introduction
2 Cylinder of Revolution
3 Planar Formulation of the Problem
3.1 Fix Point
3.2 Comparison with the Classical Wallace-Simson Theorem: Homothety
3.3 Locus Equation
4 Conclusion
References
Interactive 4-D Visualization of Stereographic Images from the Double Orthogonal Projection
1 Introduction
2 A Synthetic Construction of a Stereographic Projection in the Double Orthogonal Projection
2.1 Spherical Inversion
2.2 Hopf Tori of Clelia Curves
3 Conclusion
References
The M-Points Related to the Perfect Circles in Any Triangle ABC as the Next Points Lying on the Generalized Soddy-Line and About "Square Root Angle"
Abstract
1 Introduction
2 Methodology
3 Results and Discussion
4 Conclusion
References
Applied Geometry and Graphics
Assessment of Light Transmission for Comfort and Energy Efficient Insolation by "Green Structures"
Abstract
1 Introduction
2 Literature Analysis
3 Optical Transmission of Crones
4 Design of Sun Protection
5 Conclusions
References
Cyclographic Model of Generation of Families of Parallel Curves to a Multiply-Connected Domain
Abstract
1 Introduction
2 Problem Definition
3 Geometric Model of Formation of a Family of Working Offset Curves on the Basis of the Cyclographic Method of Mapping
4 Experimental Analysis of Working and Non-working Segments of Offset Curves
5 Conclusion
References
Cyclographic Model of Automotive Road Surface Form Design
Abstract
1 Introduction
2 Cyclographic Modeling as a Method of Surface Formation
3 Local Particularities of RSF Formation
4 Results of Experiments
5 Conclusion
References
Development of Data-Driven Agent Model for Consumer Shopping Behavior in Commercial Facility
Abstract
1 Introduction
2 Method
2.1 Subject
2.2 Store Selection Probabilities
2.3 Agent-Based Simulation
2.4 Simulation Settings
2.5 Validation Method
3 Results and Discussions
3.1 Transition Probabilities Between Stores
3.2 Comparison of Simulation Results and Actual Measurements
3.3 Parametric Study and Comparison with Measurement Results
3.4 Visualization of Simulation Results
4 Conclusion
Acknowledgments
References
A Curved Surface Flattening Computing Method Combined with Machining Process
Abstract
1 Introduction
2 Point Cloud Surface Geometric Flattening Method
2.1 Construction of Point Cloud Grid
2.2 Geometric Mapping and Optimization Flattening of Point Cloud Grid Surface
3 Surface Modification and Flattening Method Combined with Processing Technology
3.1 Flattening Correction Method Combined with Material Thickness Treatment Process
3.2 Flattening Correction Method Combined with Welding Process
3.3 Unfolding Correction Method Combining Cutting Processing Equipment and Process Technology
4 Conclusions
References
Research on Reverse Engineering for Free-Form Surfaces
Abstract
1 Introduction
2 Methods for Reverse Engineering
2.1 Method A
2.2 Method B
2.3 Method C
2.4 Method D
2.5 Method E
3 Surface Modeling and Smoothness Assessment
4 Discussions
5 Conclusions
References
The Language of Geometry, The Icosahedron as a Case Study
Abstract
1 Introduction
2 Methodology
3 3D Model
4 3D Prototype
5 Cardboard Models
6 Marker
7 Results
8 Conclusions
References
Interactive Creation of Voronoi Diagrams for Origami Tessellation
Abstract
1 Introduction
2 Two-Layer Origami Tessellation
2.1 Voronoi Diagram and Shrinkage
2.2 Crease Pattern on ETM
2.3 Crease Pattern on VTM
2.4 Shrinkage Factor and Intersection of Modules
3 Method of Constructing the Desired Voronoi Diagram
3.1 Locations of Reference Points to Maximize the Shrinkage Factor
3.2 Arrangement of Seeds to Construct the Voronoi Diagram
4 Experimental Results
4.1 Comparing the Lengths of Creases Determined by the Voronoi Diagrams
4.2 Creation of TLOT Origami Pieces with the Proposed Method
5 Conclusions and Future Work
Appendix I
References
Teeth Mesh Segmentation Through Curvature Analysis
1 Introduction
2 Related Work
3 Methodology
3.1 Pre-processing Step
3.2 Segmentation Using the Region Growing Algorithm
3.3 Teeth Selection
4 Results
5 Conclusion and Future Work
References
Biomimetic Approach to Parametric Flower Modeling
Abstract
1 Introduction
1.1 Natural Patterns as a Model for Sustainable Design
2 Flower as Form and Inspiration
2.1 Implementation of Flower Shapes in Architectural Design
2.2 Generation of Bionic Patterns Through the Process of Parametric Modeling
3 Organic Structure of Urban Furniture as Part of the Design of Public Urban Space
3.1 Material and Analysis
3.2 Conceptual Scheme for Model Construction
3.3 Bionic Pattern Generation and Modeling Process in Blender Software
4 Application of the Obtained Model of Biomimetic Form in the Form of Urban Furniture
5 Conclusion
Acknowledgements
References
"Inversion" of a Pyramid
Abstract
1 Introduction
2 Moving Triangles
2.1 Layout and Denomination
2.2 Motion Phases
2.3 Special Positions
2.4 Motion Patterns
3 Physical Model
3.1 Small Scale
3.2 Scale 1:1
4 Conclusion
References
The Mysterious Synergy of Geometry and Art
Abstract
1 Introduction
2 Measures
3 Conclusions
References
Parametric Otto: Validation of a Visual Programming for the Generation of Minimum Surfaces Conformed by Physical Forces
Abstract
1 Introduction
2 Minimum Surfaces: Concepts and Properties
3 The Minimal Surface of the Main Station Stuttgart
4 Methodological Procedures
4.1 Physical Surface Modeling (PSM)
4.2 Transformation and Analysis of the Surface (TAS)
5 Results
6 Final Considerations and Conclusions
References
Graphic Methodology Based on Funicular and Projective Geometry, in Structural Analysis of Historical Constructions
Abstract
1 Introduction
2 Structural Analysis of Domes by Equilibrium Methods
3 Hemispherical Brick Dome
4 Stability Analysis by Applying the Slicing Technique
5 Graphic Methodologies Based on Funicular and Projective Geometry
6 Conclusions
References
Geometric Modeling of a Topographic Surface Based on a Fractal Coordinate System
Abstract
1 Introduction
2 Methods for Constructing Digital Elevation Models
2.1 The Regular Digital Elevation Model
2.2 Structural Digital Elevation Models
2.3 Irregular Digital Elevation Models
2.4 Disadvantages of Digital Elevation Models
3 Basic Principles of Fractal Geometry
4 The Digital Geometric Elevation Model
5 The Practical Application of the Proposed Algorithm
6 The Fractal Coordinates
7 Conclusion
Inverse Designing Airfoil Aerodynamics in Compressible Flow by Target Pressure Distribution
1 Introduction
2 History of Adjoint Equation
3 Adjoint Equation
4 Numerical Code Validation
5 Airfoil Inverse Problem
6 Conclusion and Future Works
References
Framework for Electrical Impedance Tomography Forward Problem with Non-uniform Electrodes Distribution
1 Introduction
2 Electrical Impedance Tomography (EIT) Formulation
3 Generic Simulated Training Data Generation
3.1 Boundary and Mesh Generation with Misplaced Electrodes
3.2 Layout Generation
3.3 Forward Problem Solution
4 Results
4.1 Generic Layout Generation Tests
4.2 Data Generation for the Experiment with Three Cucumber Slices
5 Conclusions and Future Works
References
Determination of Open Boundaries in Point Clouds with Symmetry
1 Introduction
2 Basic Concepts
2.1 Bézier Curve and Piecewise Bézier Curve
2.2 Curve Fitting
3 Methodology
3.1 Manual Procedure
3.2 Automatic Procedure
4 Results
5 Conclusions and Future Works
References
Multi-objective Topology Optimization Using Simulated Annealing Method
1 Introduction
2 Background
3 Formulation
3.1 Topology Optimization Problem
3.2 Simulated Annealing
4 Multi-objective Topology Optimization
5 Results
6 Conclusions and Future Works
References
Study on Space Evaluation Using VR and AR
Abstract
1 Introduction
2 Space Representation by Using 3D Models
2.1 The Haus-Hyazinth (AR Model)
2.2 Row House in Sumiyoshi (AR Model)
2.3 The Farnsworth House (AR Model)
2.4 The Jiyu Gakuen Myonichikan (VR Model)
3 Space Representation by AR
3.1 Ceiling Height and Width Evaluation
3.2 The Texture Performance in AR Space
4 Space Representation by VR
4.1 Perception of Spatial Change
4.2 Experiment on the Effect of Texture
5 Conclusion
References
Investigation of a Turtle-Shaped Construction Block and Its Relationship with Other Geometric Toys
Abstract
1 Introduction
2 The Shell
3 The Head
4 The Legs
5 Related Toys
6 Truncated Rhombic Dodecahedron
7 Conclusion
References
From Dynamic Visualization to Designing Sustainable Architecture
Abstract
1 Introduction
2 Methodology
2.1 Methodological Stages
2.2 Parametric Design
3 The Project
3.1 Location
3.2 Modular Skins
4 Conclusion
References
The Geometry of the Ramps in Oscar Niemeyer's Cultural Projects
Abstract
1 Introduction
2 Methodological Procedures
2.1 Data Input
2.2 Information Processing
2.3 Analysis
2.4 Geometric and Parametric Modeling
2.5 Ramps Types Geometry: Identification & Classification
3 Results
4 Discussion
Acknowledgments
References
Research on Geometry of Expandable Portable Building and Its Application
Abstract
1 Introduction
2 Typology of Expandable Method
2.1 The Way of Analysis
2.2 Describing Expandable Method
3 Analysis of Geometrical Feature
4 Discussion
5 Result
References
Hough Transform Voting Scheme for Detection of Parabolas and Open Conics in Images
Abstract
1 Introduction
2 Conical Shapes
3 Parameter Behavior
3.1 Discrete Behavior
3.2 Continuous Behavior
4 Process of Discretize the Parameters
4.1 Arc of Circumferences in Discrete Form
4.2 Ellipses Discretization
4.3 Parabola Discretization
5 Voting Scheme
6 Conclusions
Acknowledgment
References
The Use of LEGO® Robots to Visualize the Design Process of High-Performing Heat Exchangers
1 Introduction
2 The Design of a 3-D Heat Exchanger
2.1 The Base Problem
2.2 Space-Filling Curves
2.3 Implementation
2.4 Evolving 3-D Volume Models
3 LEGO®-Constructions
3.1 The BANNER PRINT3R
3.2 The Plot Bot
4 LEGO® Programming
4.1 The LEGO® MINDSTORMS® EV3 Home Edition Software
4.2 User Interface
4.3 Iterative Programming of Fractals for the BANNER PRINT3R
4.4 Lindenmayer Codes
5 Conclusions and Outlook
References
The Contribution of Great Circles for Building Retractable Polyhedra
Abstract
1 Introduction
2 Unfolding Structures
2.1 Mathematical Principles
2.2 Calculation of the Angle of the Bar
2.3 Calculation of DOF
3 Model Construction
3.1 Virtual Simulation
3.2 3D Printing
4 Considerations
References
Touching and 'Feeling' the Feast of Herod by Benozzo Gozzoli: A Multisensory Communication Strategy Unveiling the Secrets of Painted Spaces to the Blind
Abstract
1 Introduction
2 Inside the Feast of Herod by Benozzo Gozzoli. A Case-Study
2.1 An Early Renaissance Rendition of the Infamous Feast
2.2 Methodology
3 Conclusions
References
Utilization of Nonconvex Shapes as Horizontal Section of Paper Folding Lampshade Constructed with Skew Quadrilateral Elastic Folding
Abstract
1 Introduction
2 Principle of SQEF Method and Related Works
3 Introduction of Nonconvex Shapes as Horizontal Section of Paper Folding Lampshades
4 Designing of Development of Lampshade and Manufacturing of the Lampshade
5 Conclusion and Future Works
References
Engineering Computer Graphics
The Gestalt Principle for Building Area Extraction
Abstract
1 Introduction
2 Building Area Extraction Method
2.1 Edge Extraction and Salient Edge Calculation
2.2 Determining and Connecting the Boundary Points at the Bottom of the Building
2.3 Extraction of the Closed Contour of the Graph Model
2.4 Designing and Screening of Energy Function of the Closed Contour
2.5 Area Correlation Evaluation and Building Area Extraction
3 Experimental Results and Analysis
4 Conclusions
References
Torus and Quadrics Intersection Using GeoGebra
1 Introduction
2 Torus and Quadrics
2.1 Resultants
3 Methods: Locus, Parametrizations and Resultants
3.1 Intersection Curve of a Torus with a Quadric by Locus
3.2 Use of Parametrizations to Get the Intersection Curve of a Torus with a Centred Quadric
3.3 Use Resultants and Subresultants to Get the Intersection Curve of a Torus with a Quadric
4 Conclusions
References
Parametric Modeling of Polyhedron Based on Revit
Abstract
1 Introduction
2 Polyhedron Modeling Development Based on Revit
2.1 Overall Architecture
2.2 Program Development
3 Modeling of Polyhedron Basic Cell
3.1 Shape Control Parameters of WP like Polyhedron
3.2 Parametric Modeling
4 Modeling of Polyhedron Basic Combination
4.1 Composition and Size of WP like Polyhedron
4.2 Parametric Modeling
5 Selection and Application of WP like Polyhedron
5.1 Selection Principle
5.2 Parametric Selection and Modeling
6 Conclusion
References
An Improved Sensitivity Method for Multi-material Topology Optimization
Abstract
1 Instruction
2 Numerical Model for Multi-material Structure
3 Sensitivity Filter Comparison
3.1 Original Sensitivity Filtering Method
3.2 Improved Sensitivity Filtering Method
4 Numerical Validity
4.1 Middle Force Case
4.2 Right Middle Force Case
4.3 Comparison with Original Sensitivity Filter
5 Conclusion
Acknowledgement
References
3D Reconstruction of Grabbed Objects Using a Single Image Based on Palletizing Task
Abstract
1 Introduction
2 Vanishing Point Detection Algorithm
2.1 Introduction to Vanishing Point Algorithm
2.2 Definition and Attributes of Vanishing Point
2.3 Image Line Detection and Line Grouping and Optimization
2.4 Vanishing Point Solution
3 Camera Internal and External Parameter Calibration
3.1 Solve the Internal Parameters of the Camera
3.2 Solve the External Parameters of the Camera
4 3D Reconstruction
5 Algorithm Test and Result Analysis
6 Conclusion
References
Solid Modeling and Artistic Sticker of Sphere-Cone Tangential Combination in Equal Circle Views
Abstract
1 Introduction
2 Parameterization of Basic Solid Models on CATIA
2.1 Parameterization of the Solid Model of Filleted Sphere-Cone Tangential Combination in Equal Circle Views
2.2 Parameterization of the Solid Model of Sphere-Cone Intersectional Combination in Cubic Cell Region
3 Sticker of Combination of Sphere-Cone Models
3.1 Sticker of Filleted Tangential Combination of Sphere-Cone Models
3.2 Sticker of Intersectional Combination of Sphere-Cone Models
4 Concluding Remarks
References
Dynamic Target Detection and Tracking in Water for Mobile Robot Based on Deep Learning
Abstract
1 Introduction
2 Design of the Target Detection and Tracking Algorithm
2.1 The Mobile Robot Vision Platform
2.2 Dynamic Target Detection Algorithm
2.3 Dynamic Target Tracking Algorithm
3 Experiment
4 Conclusion
References
Using the Contour Method From the Theory of Mechanisms to Approach a Problem of Geometry
1 Introduction
2 Geometry Problem
3 Relationships and Relevant Cases
4 Some Mathematical Aspects
References
Research on SLAM System Based on Binocular Vision and IMU Information
Abstract
1 Introduction
2 Visual Information Preprocessing
3 Feature Extraction and Tracking
4 KLT Optical Flow Tracking
5 Camera Motion Estimation
5.1 2D-2D
5.2 3D-2D
5.3 Image Similarity Judgment and Loop Detection
6 IMU Information Preprocessing
7 Vision Positioning System Based on IMU Information
8 Generate Navigation Map
9 Summary
References
Soccer Field Lines Determination and 3D Reconstruction
1 Introduction
2 Playfield Detection
3 Detection of Field Lines
3.1 Edge Detection Filter
3.2 Line Detection by Hough Transform
3.3 Line Filter by Color
3.4 Line Filter by Angle
4 Field Plane Perspective Transformation
4.1 Obtaining the Homography Matrix
4.2 Field Template Creation
4.3 Determination of Possible Combinations
4.4 Homographic Matrix Solution
5 Goal Plane Search
6 Results
6.1 Detection of the Playfield
6.2 Correction of Perspective Distortion
6.3 Determination of the Goal Plane
7 Conclusions and Future Works
References
Human Thorax Parametric Reconstruction Using Computer Vision
1 Introduction
2 Methodology
2.1 SIFT
2.2 Epipolar Geometry
2.3 Color Segmentation
2.4 Parametric Thorax Definition
2.5 Least Squares Method
2.6 Simulated Annealing
3 Results
4 Conclusions and Future Works
References
A Kinematics Framing Methodology for Computing Sweep Surfaces Using N-Dimensional NURBS Curves
1 Introduction
2 NURBS Formulation
3 Framing Curves
3.1 Frenet-Serret Trihedron
3.2 Proposed Framing Methodology
4 NURBS as N-Dimensional Vector Functions
4.1 Examples
5 Conclusions and Future Work
References
Research on Obstacle Avoidance Motion Planning Technology of 6-DOF Manipulator
Abstract
1 Mathematical Description of Obstacle Avoidance of 6-DOF Tandem Manipulator
2 Collision Detection of 6-DOF Tandem Manipulator
2.1 Comparative Analysis of Collision Detection Methods
2.2 The Improved Method Based on a Geometric Model
3 Detection of the Collision Between Robotic Arm and Obstacle
4 Joint Space Obstacle Avoidance Motion Planning Based on RRT Algorithm
4.1 Sampling Space
4.2 Sampling Strategy
4.3 Nearest Point Selection
5 Simulation Experiment Based on MATLAB®
6 Conclusion
References
Robustness Assessment of a Low Poly Modeling Strategy for Performance Simulation of Double-Skin Green Facades
Abstract
1 Introduction
1.1 Background
1.2 Literature Review
1.3 Scope
2 Methodology
3 Results and Discussion
4 Conclusions
References
Computational Graphics and Immersive Technologies Applied to a Ship Maneuvering Simulator
Abstract
1 Introduction
2 Projection Based Full-Mission Simulator
2.1 3D Model Production
2.2 Wave Visualization Techniques
3 Conclusion
References
Graphics Education
An Experience on Short Course of Computational Geometric Modeling in Engineering Design for High School Students
Abstract
1 Introduction
2 Pre-IC Program at EPUSP
3 "Computational Modeling in Engineering Design" Module
3.1 Didactic Approach
3.2 Infrastructure
3.3 Programming
4 Results and Challenges
4.1 Initial Experience
4.2 Other Experiences
4.3 Feedback and Reflections
5 Concluding Remarks
Acknowledgment
References
The Teaching of Geometric Representation Techniques at the Fine Arts School of the Federal University of Rio de Janeiro
Abstract
1 Introduction
2 A Brief History on the Teaching of Geometry at the Fine Arts School of Federal University of Rio de Janeiro
3 Evolution of Graphic Education in the UFRJ School of Fine Arts
4 Dynamic Geometrography
5 Learning Though Games and Puzzles
6 Conclusions
References
Architectural Geometry Learning Processes Supported by 3D Models and Animations
Abstract
1 Introduction
2 The Platform Sketchfab
3 Models for Visualization and Understanding of Representation Methods
4 Models for Visualizing Geometric Concepts
5 Animations for Understanding the Geometric Background of Drawing Methods
6 Animations for Dynamic Spatial Processes
7 Multimedia Approach
8 Conclusion
Acknowledgments
References
Studying of MOOC?+?SPOC Teaching Mode in Engineering Graphics Course
Abstract
1 Preface
2 Characteristics of MOOC?+?SPOC Teaching Mode
3 Application of MOOC?+?SPOC Teaching Mode in Engineering Graphics Course
3.1 The Construction of Online Course
3.2 Offline Flipped Class Teaching Design
3.3 Establishment of Evaluation System Suitable for SPOC Mode
4 The Goal of MOOC?+?SPOC Teaching Mode
Acknowledgements
References
Education Quality Issues in Engineering Graphics Training
Abstract
1 Introduction
2 Method
3 Results
4 Conclusion
References
The Evolution of the Descriptive Geometry Course for Architecture Students at a Public University in Northern Paraná
Abstract
1 Introduction
2 The Evolving Methodology of the DG Course
2.1 What the Teaching Methodology Was Like Before 1989
2.2 The Teaching Methodology from 1990 to 2000 - The "Concrete Didactic Material" Phase
2.3 The Teaching Methodology from 2000 to 2019 - The Phase of Technological Resources
3 The Learning Evaluation
4 Conclusion
References
Research on Graphics Teaching Mode
Abstract
1 Introduction
2 Teach Students in Accordance with Their Aptitude
3 Research Progress
3.1 Project Based Teaching Mode
3.2 New Teaching Mode
4 A Case Study of Hybrid Teaching Mode
4.1 Design of Teaching Objectives
4.2 Establishment of Information Teaching Environment
4.3 Building Effective Classroom Teaching Mode
4.3.1 Large Class Teaching Based on Hybrid Teaching
4.3.2 Small Class Training Based on Learning by Doing
4.3.3 Design of Evaluation Method
4.4 Implementation Effect
5 Development Trend and Countermeasures of Graphics Teaching Mode
5.1 Development Trend of Graphics Teaching Mode
5.2 Countermeasures for the Development of Teaching Mode
6 Conclusion
References
Trends of Spatial Abilities of Students Who Take Graphic Sciences in Recent Undergraduate Curriculum
Abstract
1 Introduction
2 Investigation
2.1 Two Courses Related to Graphic Science
2.2 Mental Cutting Test
2.3 Research Design
3 Results and Discussion
3.1 Statistics of Pre-MCT Score in GS-A and GS-B
3.2 Statistics of Pre-MCT and Post-MCT Scores in the Two Graphic Science Related Courses
4 Conclusion
Acknowledgements
References
Intersecting Architectural Surfaces Between Graphic and Analytic Representations
Abstract
1 Introduction
2 Academic Context
3 Methodology
4 Discussion
4.1 Example 1
4.2 Example 2
4.3 Example 3
5 Conclusions and Possible Outlooks
Acknowledgements
References
Between Geometry and Technical Drawing - Didactic Interactive and Animated Drawing Teaching Tools of the DIAD-TOOLS Project
Abstract
1 Intorduction
2 The DIAD-Tools Project
3 The DIAD-Tools Platform
3.1 Geometrical and Technical Issues Presented in the Animated Teaching Materials on the Example of Thematic Groups
4 Conclusions
References
Geometrical Thinking: Solving a Problem on Graphic Representation
Abstract
1 Introduction
2 The Problem
2.1 Mongean Inquiries
2.2 Finding a New Strategy
3 Concluding Remarks
References
Improving and Measuring Spatial Skills with Augmented Reality and Gamification
Abstract
1 Introduction
2 Background
2.1 Measuring Spatial Skills
2.2 Augmented Reality
2.3 Gamification
3 Resources
3.1 Groups of Users
3.2 Entities in Our Terminology
3.3 Designing a Scenario
4 The Mobile Application
4.1 Activities
4.2 The AR Component
5 Conclusion
Acknowledgement
References
Cultivating Integrated Abilities of Students Through Participatory Study in Engineering Graphics Course
Abstract
1 Introduction
2 Dimensions and Formations of Solids
2.1 Dimensions of Solids
2.2 Formation of Solids
2.3 Making Solids Practice
3 Representation Schemes of Complicated Machine Parts
3.1 Representation Methods
3.2 Representation Scheme Practice
4 Retrieving Materials Practice
4.1 National Standards
4.2 Extension Materials
4.3 Retrieving Extension Materials Practice
5 Creative Modeling
6 Conclusions
References
Exploration of Classroom Teaching Methods Under Mixed Teaching Mode
Abstract
1 Research Background
2 Teaching Method
2.1 Problems in Mixed Teaching
2.2 Reform the Traditional Classroom Teaching Mode and Carry Out Three-Stage Guided Discussion Teaching
2.3 Establishment of Mixed Teaching Evaluation System
3 Teaching Effect
4 Conclusion
References
Compilation and Application of Graphics Textbook Based on AR Technology
Abstract
1 Introduction
2 Application of AR Technology in Teaching Material Creation
2.1 Overview of AR Technology
2.2 The Role of AR Technology in Promoting Textbook Publishing
3 Graphic Teaching Material Creation Based on AR Technology
3.1 Teacher Creation Team
3.2 Technical Support Team
3.3 Editorial and Publishing Team
4 Graphic Teaching Material Creation Process Based on AR Technology
5 Maintenance and Comprehensive Application of Graphics Textbook Based on AR Technology
5.1 Maintenance of Graphics Textbook Based on AR Technology
5.2 Comprehensive Application of Graphics Teaching Materials Based on AR Technology
6 Summary
References
Architectural Geometry and Graphics Education Some Retrospective Reflections from Italy Across Three Generations
Abstract
1 Story Before This Story: The Unione Italiana Disegno (UID)
2 The First Generation
2.1 Luigi's Story
3 Second Generation
3.1 Veronica's Story
4 Third Generation
4.1 Matteo and Simone's Story
5 Conclusions
6 Dedication
Acknowledgments
References
Analysis of the Application of the Active Teaching-Learning Methodology in Graphic Expression Monitoring for UPE Engineering Students
Abstract
1 Introduction
2 Methodology
3 Results and Discussions
4 Conclusion
References
Tutoring as a Tool to Explore New Teaching Methodologies in the Classroom in Engineering Classes of the University of Pernambuco
Abstract
1 Introduction
1.1 Active Teaching Methodology
1.2 Project-Based Learning (ProjBL)
1.3 Problem-Based Learning (ProbBL)
1.4 Building Knowledge Through Tutoring
2 Methodology
3 Results and Discussion
4 Conclusion
References
Geometry and Graphics in History
Elementary Geometry in Staircases Design. The 'City House' of Bernardo Antonio Vittone
Abstract
1 Introduction: The Neapolitan Residential Staircases of Eighteenth Century
2 The Staircase Design as Elementary Geometric Matrices Manipulation
2.1 The Vaulted System of Neapolitan Eighteenth Century Staircases
3 The 'City House' of Bernardo Antonio Vittone
4 Conclusions
References
Geometric Reconstruction of the Positioning of the Carceres in the Circus of Maxentius
Abstract
1 Inquadramentodell'ambito di Studio
2 Il Circo Nell'iconografia Storica
3 The Circus Games
4 Reconstruction of the Geometry of the Carceres
References
Piero della Francesca's Contribution on the Apparent Contour Perspective
Abstract
1 Introduction
2 Piero Contribution in De prospectiva pingendi
2.1 The Sphere and the Goblet
2.2 The Human Head
3 Conclusions
Acknowledgements
References
The Geometry as a Decoder of Gravity: Anne G. Tyng's Elementary School in Bucks County P. A. U. S
Abstract
1 Introduction
2 Case Study, Elementary School, Bucks County, P. A.
2.1 The Geometry as a Decoder of Gravity
2.2 Prototypes
3 Epilogue
4 Conclusion
Acknowledgements
References
Geometry, Between History and Shape Configuration
Abstract
1 From the History of Geometry to the Shape Configuration
1.1 Connecting Geometry and History of Geometry to Formative/Educative Purposes
1.2 Geometrical Consciousness to Range Critical/Analytical Tools
2 From Geometric Modeling to Information Modeling and VPL
2.1 CAD vs. BIM
2.2 Informative Modeling of (Architectural) Surfaces
3 Conclusion
References
Geometry and Urban Shape of the City of Nola through the Drawings of the De Nola by A. Leone (1514)
Abstract
1 Introduction
2 Materials and Methods
2.1 Geometric and Algebraic Analysis of Regular Geometric Figures Equivalent to the Polygon of the Renaissance Nola
2.2 Geometric and Algebraic Analysis of Circumferences and Squares Equivalent to the Urban Shapes of the Ancient City and the Renaissance One
2.3 Evaluations on the Geometric Figures Between Drawn and Real Dimensions in the Original Units of Measurement
3 Conclusions
References
Drawing and Geometric Constructions of Polyhedra in the Art of Escher
Abstract
1 Introduction
2 Compositional Logics and Geometric Transformations
3 Polyhedra and Complex Solids in Escher's Works
4 The Drawing of the Polyhedra
5 Conclusion
References
Poster
A Method for Void Inspection in X-ray CT Images Based on Golden Part Generated from a Set of Accepted Parts
Abstract
1 Introduction
2 Methods
3 Experimental Results
4 Summary
References
Determination of Parameters of an Inaccessible Point of an Object
Abstract
1 Proposed Approach
Reference
GeoMotor: Design with Nature. Recognition of Geometries Using a Convolutional Neural-Network Approach (CNN)
Abstract
1 Introduction
1.1 Background
2 Method
2.1 CNN-GeoMotor-2
3 Results
Acknowledgment
References
3D Animation Applied to Street Art. Physical and Remote Connections Aimed at Inclusion
Abstract
1 Introduction. Street Art, Urban Enhancement, and New Technologies
1.1 NSN997 and Gianluca Raro, History and Philosophy
2 Project
3 Conclusions
References
Thinking on the Teaching Methods and Contents of Engineering Graphics Courses Under the New Engineering Construction
Abstract
1 Analysis of the Teaching Reform Objectives of Engineering Graphics Under the New Engineering Construction
2 Analysis of the Difficulties in the Teaching of Engineering Graphics
3 Countermeasures and Implementation of Engineering Graphics Curriculum Reform
4 Conclusion
Acknowledgments
References
A Class of "Basic Media Design" Based on 3D-CAD for Beginners of Digital Processing
Abstract
1 Introduction
2 Media Design Foundation
2.1 Class Outline
2.2 Classroom Planning
2.3 Google Classroom
2.4 Autodesk Tinkercad®
3 Class Details
4 Impressions from College Students
5 Discussion
6 Summary
References
3D Scene Reconstruction from a 2D Photo as a Learning Challenge of PBL in Architectural and Engineering
Abstract
1 The Challenge and the Method
References
Teaching Architecture and the Modeling Project Associated with Geometric Representation Systems
Abstract
1 Introduction
2 Geometric Representation Systems and Their Application in Design
3 Method Steps
3.1 Contextualization
3.2 Spatialization
3.3 Materialization
4 Final Considerations
References
The Semiotic Context for Learning Engineering Graphics
Abstract
1 Introduction
2 Visualization of Engineering Ideas in Engineering Drawing
3 Conclusions
Acknowledgement
References
Isoptic Curves of Cycles on a Hyperbolic Plane of Positive Curvature
1 Main Notions and Formulas
2 Main Results
References
Spherical Images: Capture and Visualization Devices. Icons of a Computational Paradigm
Abstract
1 Spherical Vision: Perceptual Representation and Space Archetype
2 A Comparative Views of Equirectangular Digital Spherical Images
3 Image Dematerialization. Shooting and Presentation Interaction
4 Factors of Innovation and Sharing of Images and Contents
5 Local/Global - Global/Local. An Icon of a Computational Paradigm
6 Image and Society
References
Tracing Recognition Through Geometric Analysis: The Search for Federal University of Pelotas Original Coat of Arms Authenticity Features
Abstract
1 Searching Authenticity Through Geometryc Analysis
2 Primary Sources: Original Documentation as a Guidance
3 The Search for Original Graphic Design Properties Recognition
4 Partial Results and Discussion
Reference
Author Index

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