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.