Handbook of Computer Aided Geometric Design

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Gerald E. Farin, Josef Hoschek, Myung-Soo Kim
Elsevier, 2002 - Computers - 820 pages
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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:


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.

  

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Contents

Chapter 1 A History of Curves and Surfaces in CAGD
1
Chapter 2 Geometric Fundamentals
23
Chapter 3 Geometries for CAGD
43
Chapter 4 Bézier Techniques
75
Chapter 5 Rational Techniques
111
Chapter 6 Spline Basics
141
Chapter 7 Curve and Surface Constructions
165
Chapter 8 Geometric Continuity
193
Chapter 18 Voronoi Diagrams
429
Chapter 19 The Medial Axis Transform
451
Chapter 20 Solid Modeling
473
Chapter 21 Parametric Modeling
519
Chapter 22 Sculptured Surface NC Machining
543
Chapter 23 Cyclides
575
Chapter 24 Geometry Processing
603
Chapter 25 Intersection Problems
623

Chapter 9 Splines on Surfaces
229
Chapter 10 Box Splines
255
Chapter 11 Finite Element Approximation with Splines
283
Chapter 12 Subdivision Surfaces
309
Chapter 13 Interrogation of Subdivision Surfaces
327
Chapter 14 Multiresolution Techniques
343
Chapter 15 Algebraic Methods for Computer Aided Geometric Design
363
Radial Basis and Other Methods
389
Chapter 17 PythagoreanHodograph Curves
405
Chapter 26 Reverse Engineering
651
Chapter 27 Vector and Tensor Field Visualization
683
Chapter 28 Splines over Triangulations
701
Chapter 29 Kinematics and Animation
723
Chapter 30 Direct Rendering of Freeform Surfaces
749
Chapter 31 Modeling and Processing with Quadric Surfaces
777
Index
797
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