Spline Functions on Triangulations

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Hardcover | 19 April 2007

At a Glance

Hardcover
610 Pages

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23.39 x 15.6 x 3.33

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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.

Industry Reviews

'If you need to know anything about multivariate splines this book will be yur first and surest source of information for years to come.' Mathematical Reviews

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Preface
Bivariate polynomials
Bernstein-Bezier methods for bivariate polynomials
B-patches
Triangulations and quadrangulations
Bernstein-Bezier methods for spline spaces
C1 Macro-element spaces
C2 Macro-element spaces
Cr Macro-element spaces
Dimension of spline splines
Approximation power of spline spaces
Stable local minimal determining sets
Bivariate box splines
Spherical splines
Approximation power of spherical splines
Trivariate polynomials
Tetrahedral partitions
Trivariate splines
Trivariate macro-element spaces
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

Spline Functions on Triangulations

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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