LEADER 05111nam 2200685Ia 450 001 9910782118503321 005 20230617040906.0 010 $a1-281-93472-0 010 $a9786611934729 010 $a981-279-483-2 035 $a(CKB)1000000000537793 035 $a(EBL)1679386 035 $a(OCoLC)879023561 035 $a(SSID)ssj0000162006 035 $a(PQKBManifestationID)11147090 035 $a(PQKBTitleCode)TC0000162006 035 $a(PQKBWorkID)10199330 035 $a(PQKB)10018972 035 $a(MiAaPQ)EBC1679386 035 $a(WSP)00005503 035 $a(Au-PeEL)EBL1679386 035 $a(CaPaEBR)ebr10255764 035 $a(CaONFJC)MIL193472 035 $a(EXLCZ)991000000000537793 100 $a20050502d2004 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aGeometric computation$b[electronic resource] /$feditors Falai Chen, Dongming Wang 210 $aRiver Edge, NJ $cWorld Scientific$dc2004 215 $a1 online resource (423 p.) 225 1 $aLecture notes series on computing ;$vv.11 300 $aDescription based upon print version of record. 311 $a981-238-799-4 320 $aIncludes bibliographical references and index. 327 $aCONTENTS ; 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 CAGD 327 $aReferences 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 Remark 327 $aChapter 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 Curves 327 $a7. 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 Bases 327 $a5. 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 Systems 327 $a1. Introduction 330 $a This book contains tutorial surveys and original research contributions in geometric computing, modeling, and reasoning. Highlighting the role of algebraic computation, it covers: surface blending, implicitization, and parametrization; automated deduction with Clifford algebra and in real geometry; and exact geometric computation. Basic techniques, advanced methods, and new findings are presented coherently, with many examples and illustrations. Using this book the reader will easily cross the frontiers of symbolic computation, computer aided geometric design, and automated reasoning. The boo 410 0$aLecture notes series on computing ;$vv.11. 606 $aGeometry$xData processing 606 $aGeometry$xComputer programs 610 1 $aGeometric computation 615 0$aGeometry$xData processing. 615 0$aGeometry$xComputer programs. 676 $a512.75 701 $aChen$b Falai$01477501 701 $aWang$b Dongming$0738655 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910782118503321 996 $aGeometric computation$93692697 997 $aUNINA