Geometric modeling with splines : an introduction /
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| Format: | eBook |
| Language: | English |
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Natick, Mass. :
AK Peters,
©2001.
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- I. Introduction. 1. Review of Basic Concepts
- II. Curves. 2. Representation Issues. 3. Conic Sections. 4. Differential Geometry for Space Curves. 5. Bezier Curves and Bernstein Approximation. 6. B-Spline Curves. 7. Linear Spaces of B-Splines. 8. Choosing a B-Spline Space. 9. Data Fitting with B-Splines. 10. Other Polynomial Bases for Interpolation. 11. Other Derivations of B-Splines
- III. Surfaces. 12. Differential Geometry for Surfaces. 13. Surface Representations. 14. Fitting Surfaces. 15. Modeling with B-Spline Surfaces
- IV. Advanced Techniques. 16. Subdivision and Refinement for Splines. 17. Subdivision and Refinement in Modeling. 18. Set Operations to Effect Modeling. 19. Model Data Structures.