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Geometric Computation.

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;...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Chen, Falai
Otros Autores: Wang, Dongming
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore : World Scientific Publishing Company, 2004.
Colección:Lecture notes series on computing.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Geometric Computation. 
260 |a Singapore :  |b World Scientific Publishing Company,  |c 2004. 
300 |a 1 online resource (423 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Lecture Notes Series on Computing 
588 0 |a Print version record. 
520 |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 book. 
505 0 |a 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. 
505 8 |a Chapter 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. 
505 8 |a 7. 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. 
505 8 |a 5. 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. 
504 |a Includes bibliographical references and index. 
546 |a English. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Geometry  |x Computer programs. 
650 0 |a Geometry  |x Data processing. 
650 6 |a Géométrie  |x Logiciels. 
650 6 |a Géométrie  |x Informatique. 
650 7 |a Geometry  |x Computer programs  |2 fast 
650 7 |a Geometry  |x Data processing  |2 fast 
653 1 |a Geometric computation 
700 1 |a Wang, Dongming. 
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830 0 |a Lecture notes series on computing. 
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