05106nam 2200685Ia 450 991045428550332120200520144314.01-281-93472-09786611934729981-279-483-2(CKB)1000000000537793(EBL)1679386(OCoLC)879023561(SSID)ssj0000162006(PQKBManifestationID)11147090(PQKBTitleCode)TC0000162006(PQKBWorkID)10199330(PQKB)10018972(MiAaPQ)EBC1679386(WSP)00005503(Au-PeEL)EBL1679386(CaPaEBR)ebr10255764(CaONFJC)MIL193472(EXLCZ)99100000000053779320050502d2004 uy 0engur|n|---|||||txtccrGeometric computation[electronic resource] /editors Falai Chen, Dongming WangRiver Edge, NJ World Scientificc20041 online resource (423 p.)Lecture notes series on computing ;v.11Description based upon print version of record.981-238-799-4 Includes bibliographical references and index.CONTENTS ; Preface ; Chapter 1 Algebraic Methods in Computer Aided Geometric Design: Theoretical and Practical Applications ; 1. Introduction ; 2. Implicitization and Parametrization Problems ; 3. Applications in CAGD ; 4. Practical Performance of Algebraic Techniques in CAGDReferences Chapter 2 Constructing Piecewise Algebraic Blending Surfaces ; 1. Introduction ; 2. Notations and Preliminaries ; 3. Direct Method ; 4. Grobner Basis Method ; 5. Wu's Method ; 6. Syzygy Module Method ; 7. Concluding RemarkChapter 3 Rational Curves and Surfaces: Algorithms and Some Applications 1. Introduction ; 2. Algebraic Plane Curves ; 3. Rational Plane Curves ; 4. Parametrization of Rational Plane Curves ; 5. Properness and Inversion ; 6. Reparametrizations of Rational Plane Curves7. Real Rational Curves 8. Parametrization of Rational Surfaces ; 9. Some Applications ; Chapter 4 Panorama of Methods for Exact Implicitization of Algebraic Curves and Surfaces ; 1. Introduction ; 2. Exact Implicitization of Algebraic Curves ; 3. Resultants ; 4. Grobner Bases5. Characteristic Sets 6. Perturbations ; 7. Moving Lines Moving Planes Moving Curves and Moving Surfaces ; 8. Multidimensional Newton Formulae and Symmetric Functions ; 9. Eigenvalue Method ; 10. Conclusion ; Chapter 5 Implicitization and Offsetting via Regular Systems1. Introduction 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 booLecture notes series on computing ;v.11.GeometryData processingGeometryComputer programsElectronic books.GeometryData processing.GeometryComputer programs.512.75Chen Falai997105Wang Dongming738655MiAaPQMiAaPQMiAaPQBOOK9910454285503321Geometric computation2286601UNINA