Multivariate Spline Functions and Their Applications

✍ Scribed by Ren-Hong Wang (auth.)

Publisher: Springer Netherlands
Year: 2001
Tongue: English
Leaves: 521
Series: Mathematics and Its Applications 529
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

This book deals with the algebraic geometric method of studying multivariate splines. Topics treated include: the theory of multivariate spline spaces, higher-dimensional splines, rational splines, piecewise algebraic variety (including piecewise algebraic curves and surfaces) and applications in the finite element method and computer-aided geometric design. Many new results are given.
Audience: This volume will be of interest to researchers and graduate students whose work involves approximations and expansions, numerical analysis, computational geometry, image processing and CAD/CAM.

✦ Table of Contents

Front Matter....Pages i-xi
Introduction to Multivariate Spline Functions....Pages 1-26
Multivariate spline spaces....Pages 27-118
Other methods for studying multivariate spline functions....Pages 119-162
Higher-dimensional spline spaces....Pages 163-246
Rational spline functions....Pages 247-300
Piecewise algebraic curves and surfaces....Pages 301-372
Applications of multivariate spline functions in finite element method and CAGD....Pages 373-494
Back Matter....Pages 495-511

✦ Subjects

Approximations and Expansions; Computational Mathematics and Numerical Analysis; Numeric Computing; Image Processing and Computer Vision; Engineering Design

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