Geometric Computation

By: Dongming Wang (Editor), Falai Chen (Editor)

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Hardcover | 29 March 2004

At a Glance

Hardcover
424 Pages

Dimensions(cm)
23.5 x 16.6 x 2.6

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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.

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Algebraic methods in computer aided geometric design : theoretical and practical applications	p. 1
Constructing piecewise algebraic blending surfaces	p. 34
Rational curves and surfaces : algorithms and some applications	p. 65
Panorama of methods for exact implicitization of algebraic curves and surfaces	p. 126
Implicitization and offsetting via regular systems	p. 156
Determining the intersection curve of two 3D implicit surfaces by using differential geometry and algebraic techniques	p. 177
Analytical properties of semi-stationary subdivision schemes	p. 191
Meshless method for numerical solution of PDE using Hermitian interpolation with radial basis	p. 209
Clifford algebras in geometric computation	p. 221
Automated deduction in real geometry	p. 248
Automated derivation of unknown relations and determination of geometric loci	p. 299
On guaranteed accuracy computation	p. 322
Dixon A-resultant quotients for 6-point isosceles triangular corner cutting	p. 374
Face recognition using hidden Markov models and artificial neural network techniques	p. 396
Table of Contents provided by Blackwell. All Rights Reserved.

Geometric Computation

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Hardcover

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