Spline Functions on Triangulations

Spline functions are universally recognized as highly effective tools in approximation theory, computer-aided geometric design, image analysis, and numerical analysis. The theory of univariate splines is well known but this text is the first comprehensive treatment of the analogous bivariate theory. A detailed mathematical treatment of polynomial splines on triangulations is outlined, providing a basis for developing practical methods for using splines in numerous application areas. The detailed treatment of the Bernstein-B zier representation of polynomials will provide a valuable source for researchers and students in CAGD. Chapters on smooth macro-element spaces will allow engineers and scientists using the FEM method to solve partial differential equations numerically with new tools. Workers in the geosciences will find new tools for approximation and data fitting on the sphere. Ideal as a graduate text in approximation theory, and as a source book for courses in computer-aided geometric design or in finite-element methods.

Author: Ming-Jun Lai, Larry L. Schumaker
Publisher: Cambridge University Press
Published: 03/01/2007
Pages: 592
Binding Type: Hardcover
Weight: 2.18lbs
Size: 9.42h x 6.45w x 1.38d
ISBN: 9780521875929

About the Author
Lai, Ming-Jun: - Ming-Jun Lai is a Professor of Mathematics at the University of Georgia.Schumaker, Larry L.: - Larry Schumaker is the Stevenson Professor of Mathematics at Vanderbilt University.