| Description |
1 online resource (viii, 413 pages) : illustrations |
| Series |
Lecture notes series on computing ; v. 11 |
|
Lecture notes series on computing ; v. 11.
|
| Contents |
Algebraic methods in computer aided geometric design: theoretical and practical applications / Laureano González-Vega [and others] -- Constructing Piecewise algebraic blending surfaces / Yuyu Feng [and others] -- Rational curves and surfaces: algorithms and some applications / J. Rafael Sendra -- Panorama of methods for exact implicitization of algebraic curves and surfaces / Ilias S. Kotsireas -- Implicitization and offsetting via regular systems / Dongming Wang -- Determining the intersection curve of two 3D implicit surfaces by using differential geometry and algebraic techniques / Laureano González-Vega, Ioana Necula, and Jaime Puig-Pey -- Analytical properties of semi-stationary subdivision schemes / Hongxin Zhang and Guojin Wang -- Meshless method for numerical solution of PDE using Hermitian interpolation with radial basis / Zongmin Wu and Jianping Liu -- Clifford algebras in geometric computation / Hongbo Li -- Automated deduction in real geometry / Lu Yang and Bican Xia -- Automated derivation of unknown relations and determination of geometric loci / Yong-Bin Li -- On guaranteed accuracy computation / Chee K. Yap -- Dixon [symbol]-resultant quotients for 6-point isosceles triangular corner cutting / Mao-Ching Foo and Eng-Wee Chionh -- Face recognition using hidden Markov models and artificial neural network techniques / Zongying Ou and Bindang Xue |
| Summary |
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 |
| Analysis |
Geometric computation |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Geometry -- Data processing
|
|
Geometry -- Computer programs
|
|
MATHEMATICS -- Number Theory.
|
|
Geometry -- Computer programs
|
|
Geometry -- Data processing
|
| Form |
Electronic book
|
| Author |
Chen, Falai.
|
|
Wang, Dongming, 1961-
|
| ISBN |
9789812794833 |
|
9812794832 |
|
