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Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Spline Functions on Triangulations

Spline Functions on Triangulations

Hardcover

Series: Encyclopedia of Mathematics and Its Applications, Book 110

General Mathematics

ISBN10: 0521875927
ISBN13: 9780521875929
Publisher: Cambridge
Published: Apr 19 2007
Pages: 608
Weight: 2.18
Height: 1.38 Width: 6.45 Depth: 9.42
Language: English
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-Bézier 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.

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General Mathematics