Ming-Jun Lai (University of Georgia), Larry L. Schumaker (Tennessee Vanderbilt University)

Spline Functions on Triangulations

• Gebundenes Buch

Produktbeschreibung

Spline functions are universally recognized as highly effective tools in approximation theory, computer-aided geometric design, image analysis, and numerical analysis. A detailed mathematical treatment of polynomial splines on triangulations is outlined in this text, providing a basis for developing practical methods for using splines in numerous application areas.

Produktdetails

• Encyclopedia of Mathematics and its Applications
• Verlag: Cambridge University Press
• Seitenzahl: 610
• Erscheinungstermin: 19. April 2007
• Englisch
• Abmessung: 240mm x 161mm x 37mm
• Gewicht: 986g
• ISBN-13: 9780521875929
• ISBN-10: 0521875927
• Artikelnr.: 22569883

Autorenporträt

Ming-Jun Lai is a Professor of Mathematics at the University of Georgia.

Inhaltsangabe

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.