Geometric computation
Author(s)
Bibliographic Information
Geometric computation
（Lecture notes series on computing, v. 11）
World Scientific, c2004
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
This book contains tutorial surveys and original research contributions in geometric computing, modeling, and reasoning. Highlighting the role of algebraic computation, it covers: surface blending, implicitization, and parametrization; automated deduction with Clifford algebra and in real geometry; and exact geometric computation. Basic techniques, advanced methods, and new findings are presented coherently, with many examples and illustrations. Using this book the reader will easily cross the frontiers of symbolic computation, computer aided geometric design, and automated reasoning. The book is also a valuable reference for people working in other relevant areas, such as scientific computing, computer graphics, and artificial intelligence.
Table of Contents
- Algebraic Methods in Computer-Aided Geometric Design
- Theoretical and Practical Applications (L Gonzalez-Vega et al.)
- Constructing Piecewise Algebraic Blending Surfaces (Y Feng et al.)
- Rational Curves and Surfaces: Algorithms and Some Applications (J R Sendra)
- Panorama of Methods for Exact Implicitization of Algebraic Curves and Surfaces (I S Kotsireas)
- Implicitization and Offsetting via Regular Systems (D Wang)
- Manipulating 3D Implicit Surfaces by Using Differential Equation Solving and Algebraic Techniques (L Gonzalez-Vega et al.)
- Analytical Properties of Semi-Stationary Subdivision Schemes (H Zhang & G Wang)
- Meshless Method for Numerical Solution of PDE Using Hermitian Interpolation with Radial Basis (Z Wu & J Liu)
- Clifford Algebras in Geometric Computation (H Li)
- Automated Deduction in Real Geometry (L Yang & B Xia)
- Automated Derivation of Unknown Relations and Determination of Geometry Loci (Y Li)
- On Guaranteed Precision Computation (C K Yap)
- Dixon A-Resultant Quotients for 6-Point Isosceles Triangular Corner Cutting (M C Foo & E W Chionh)
- Face Recognition Based on Hidden Markov Models and Artificial Neural Networks (Z Ou & B Xue)
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