Curves and Surfaces in Computer Aided Geometric Design 1989
Conference Proceedings
Published in August 1990
Book
Hardback
384 pages
978-0-444-88629-3 (ISBN)
Description
The mathematical foundation of free form surface representations and constructions is an emerging field covering many interesting research problems and numerous important applications. This book contains selected presentations from the CAGD Conference at Oberwolfach, with new developments of mathematical methods and efficient algorithms for the representation of curves and surfaces. The contributions focus on the following topics: rational splines, scattered data interpolation, multivariate splines, interpolating with geometric constraints, algorithms for graphic representations.
The mathematical foundation of free form surface representations and constructions is an emerging field covering many interesting research problems and numerous important applications. This book contains selected presentations from the CAGD Conference at Oberwolfach, with new developments of mathematical methods and efficient algorithms for the representation of curves and surfaces. The contributions focus on the following topics: rational splines, scattered data interpolation, multivariate splines, interpolating with geometric constraints, algorithms for graphic representations.
The mathematical foundation of free form surface representations and constructions is an emerging field covering many interesting research problems and numerous important applications. This book contains selected presentations from the CAGD Conference at Oberwolfach, with new developments of mathematical methods and efficient algorithms for the representation of curves and surfaces. The contributions focus on the following topics: rational splines, scattered data interpolation, multivariate splines, interpolating with geometric constraints, algorithms for graphic representations.
More details
Language
English
Place of publication
Oxford
United Kingdom
Publishing group
Elsevier Science & Technology
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 230 mm
ISBN-13
978-0-444-88629-3 (9780444886293)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Content
A Rational Cubic Spline with Tension (J.A. Gregory, M. Sarfraz). Constructing Piecewise Rational Curves with Frenet Frame Continuity (T.N.T. Goodman). Good Approximation of Circles by Curvature-Continuous Bezier Curves (T. Dokken et al.). Fairing Bezier Curves with Constraints (H. Nowacki, D. Liu and X. Lu). Symmetric Triangular Algorithms for Curves (H.-P. Seidel). Blossoming and Knot Insertion Algorithms for B-Spline Curves (R.N. Goldman). Analytic Properties of Plane Offset Curves (R.T. Farouki, C.A. Neff). Algebraic Properties of Plane Offset Curves (R.T. Farouki, C.A. Neff). Using Parameters to Increase Smoothness of Curves and Surfaces Generated by Subdivision (N. Dyn, D. Levin, C.A. Micchelli). Finite Quadric Segments with Four Conic Boundary Curves (G. Geise, U. Langbecker). GC 1 Continuity Conditions between Two Adjacent Rational Bezier Surface Patches (D. Liu). Necessary and Sufficient Conditions for Tangent Plane Continuity of Bezier Surfaces (T.D. DeRose). Explicit Continuity Conditions for Adjacent Bezier Surface Patches (W.L.F. Degen). Local Smooth Surface Interpolation: a Classification (J. Peters). G-splines (K. Hollig, H. Mogerle). G n-1 -Functional Splines for Interpolation and Approximation of Curves, Surfaces and Solids (J. Li, J. Hoschek, E. Hartmann). Cyclides in Computer Aided Geometric Design (M.J. Pratt). On Cyclides in Geometric Modeling (W. Boehm). A Marching Method for Parametric Surface / Surface Intersection (R.E. Barnhill, S.N. Kersey). Surfaces over Dirichlet Tessellations (G. Farin). Cubic Spline Fitting using Data Dependent Triangulations (E. Quak, L.L. Schumaker). Interpolation of Scattered Data on Closed Surfaces (T.A. Foley et al.). Modified Multiquadric Methods for Scattered Data Interpolation over a Sphere (H. Pottmann, M. Eck). Surfaces Defined on Surfaces (R.E. Barnhill, H.S. Ou). Contouring a Bivariate Quadratic Polynomial over a Triangle (A.J. Worsey, G. Farin). Visibility of Surfaces via Differential Geometry (R. Walter).