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 exposure
to this subject.
Inhalt
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).