Geometric Computation

Front Cover
Chen Falai, Wang Dongming
World Scientific, Mar 29, 2004 - Computers - 424 pages
0 Reviews
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.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Theoretical and Practical Applications
1
Chapter 2 Constructing Piecewise Algebraic Blending Surfaces
34
Algorithms and Some Applications
65
Chapter 4 Panorama of Methods for Exact Implicitization of Algebraic Curves and Surfaces ...
126
Chapter 5 Implicitization and Offsetting via Regular Systems
156
Chapter 6 Determining the Intersection Curve of Two 3D Implicit Surfaces by Using Differential Geometry and Algebraic Techniques ...
177
Chapter 7 Analytical Properties of SemiStationary Subdivision Schemes
191
Chapter 8 Meshless Method for Numerical Solution of PDE Using Hermitian Interpolation with Radial Basis ...
209
Chapter 10 Automated Deduction in Real Geometry
248
Chapter 11 Automated Derivation of Unknown Relations and Determination of Geometric Loci ...
299
Chapter 12 On Guaranteed Accuracy Computation
322
Chapter 13 Dixon AResultant Quotients for 6Point Isosceles Triangular Corner Cutting
374
Chapter 14 Face Recognition Using Hidden Markov Models and Artificial Neural Network Techniques ...
396
Index
407
List of Authors
413
Copyright

Chapter 9 Clifford Algebras in Geometric Computation
221

Other editions - View all

Common terms and phrases

Bibliographic information