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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:
Curve and surface methods
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.
Libraries. Graduate students wishing to get some exposure
to this subject.
Chapter 1: A History of Curves and Surfaces in CAGD
Chapter 2: Geometric Fundamentals
(W. Boehm, H. Prautzsch).
Chapter 3: Geometries for CAGD
(H. Pottmann, S. Leopoldseder).
Chapter 4: Bezier Techniques
Chapter 5: Rational Techniques
Chapter 6: Spline Basics
(C. de Boor).
Chapter 7: Curve and Surface Constructions
(D. Hansford, G. Farin).
Chapter 8: Geometric Continuity
Chapter 9: Splines on Surfaces
Chapter 10: Box Splines
(H. Prautzsch, W. Boehm).
Chapter 11: Finite Element Approximation with Splines
Chapter 12: Subdivision Surfaces
Chapter 13: Interrogation of Subdivision Surfaces
Chapter 14: Multiresolution Techniques
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
Chapter 18: Voronoi Diagrams
Chapter 19: The Medial Axis Transform
(H. I. Choi, C. Y. Han).
Chapter 20: Solid Modeling
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
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
Chapter 31: Modeling and Processing with Quadric Surfaces
- No. of pages:
- © North Holland 2002
- 1st June 2002
- North Holland
- Hardcover ISBN:
- eBook ISBN:
Arizona State University, Tempe, USA
Technische Universität, Darmstadt, Germany
Seoul National University, South Korea
"This is a 'must reference'..."
N.S. Sapidis (University of the Aegean, Ermoupoli, Greece), in: (Computer-Aided Design, Vol. 37, 2005)
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