Spline Functions on Triangulations

Preface; 1. Bivariate polynomials; 2. Bernstein-Bézier methods for bivariate polynomials; 3. B-patches; 4. Triangulations and quadrangulations; 5. Bernstein-Bézier methods for spline spaces; 6. C1 Macro-element spaces; 7. C2 Macro-element spaces; 8. Cr Macro-element spaces; 9. Dimension of spline splines; 10. Approximation power of spline spaces; 11. Stable local minimal determining sets; 12. Bivariate box splines; 13. Spherical splines; 14. Approximation power of spherical splines; 15. Trivariate polynomials; 16. Tetrahedral partitions; 17. Trivariate splines; 18. Trivariate macro-element spaces; Bibliography; Index.