Description
This book provides a comprehensive coverage of the fields Geometric Modeling, Computer-Aided Design, and Scientific Visualization, or Computer-Aided Geometric Design. Leading international experts have contributed, thus creating a one-of-a-kind collection of authoritative articles. There are chapters outlining basic theory in tutorial style, as well as application-oriented articles. Aspects which are covered include:Historical outline Curve and surface methods Scientific Visualization Implicit methods Reverse engineering.This book is meant to be a reference text for researchers in the field as well as an introduction to graduate students wishing to get some exposureto this subject.
Table of Contents
Preface.Contributors.Chapter 1: A History of Curves and Surfaces in CAGD(G. Farin).Chapter 2: Geometric Fundamentals(W. Boehm, H. Prautzsch).Chapter 3: Geometries for CAGD(H. Pottmann, S. Leopoldseder).Chapter 4: Bezier Techniques(D. Hansford).Chapter 5: Rational Techniques(H.J. Wolters).Chapter 6: Spline Basics(C. de Boor).Chapter 7: Curve and Surface Constructions(D. Hansford, G. Farin).Chapter 8: Geometric Continuity(J. Peters).Chapter 9: Splines on Surfaces(M. Neamtu).Chapter 10: Box Splines(H. Prautzsch, W. Boehm).Chapter 11: Finite Element Approximation with Splines(K. Hoellig).Chapter 12: Subdivision Surfaces(M. Sabin).Chapter 13: Interrogation of Subdivision Surfaces(M. Sabin).Chapter 14: Multiresolution Techniques(L. Kobbelt).Chapter 15: Algebraic Methods for Computer Aided Geometric Design(T.W. Sederberg, J. Zheng).Chapter 16: Scattered Data Interpolation: Radial Basis and Other Methods(S.K. Lodha, R. Franke).Chapter 17: Pythagorean-Hodograph Curves(R.T. Farouki).Chapter 18: Voronoi Diagrams(K. Sugihara).Chapter 19: The Medial Axis Transform(H. I. Choi, C. Y. Han).Chapter 20: Solid Modeling(V. Shapiro).Chapter 21: Parametric Modeling(C. M. Hoffmann, R. Joan-Arinyo).Chapter 22: Sculptured Surface NC Machining(B. K. Choi, B. H. Kim, R. B. Jerard).Chapter 23: Cyclides(W. Degen).Chapter 24: Geometry Processing(T. A. Grandine).Chapter 25: Intersection Problems(N. M. Patrikalakis, T. Maekawa).Chapter 26: Reverse Engineering(T. Varady, R. Martin).Chapter 27: Vector and Tensor Field Visualization(G. Scheuermann, H. Hagen).Chapter 28: Splines over Triangulations(H-P Seidel, F. Zeilfelder).Chapter 29: Kinematics and Animation(B. Juettler, M. G. Wagner).Chapter 30: Direct Rendering of Freeform Surfaces(G. Elber).Chapter 31: Modeling and Processing with Quadric Surfaces(W. Wang).
