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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;...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific Publishing Company,
2004.
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| Colección: | Lecture notes series on computing.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.
- 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.
- 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.
- 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.