Product Description

Multivariate approximation theory is today an increasingly active research area. It encompasses a wide range of tools for multivariate approximation such as multi-dimensional splines and finite elements, shift-invariant spaces and radial-basis functions. Approximation theory in the multivariate setting has many applications including numerical analysis, wavelet analysis, signal processing, geographic information systems, computer aided geometric design and computer graphics. The field is fascinating since much of the mathematics of the classical univariate theory does not straightforwardly generalize to the multivariate setting, so new tools are required. This advanced introduction to multivariate approximation and related topics consists of nine articles written by leading experts surveying many of the new ideas and their applications. Each article introduces a particular topic, takes the reader to the forefront of research and ends with a comprehensive bibliography. This unique account is an ideal introduction to the subject for researchers, in universities and industry, and graduate students.

Product Details

• Amazon Sales Rank: #2051140 in Books
• Published on: 2001-05-17
• Original language: English
• Number of items: 1
• Binding: Hardcover
• 292 pages

Review
‘… very useful … every library should have this book.’ Numerical Algorithms

Customer Reviews

Some highpoints.
This is a great source for anyone who wishes to learn about some exciting new developments in multivariate approximation theory: A lovely book with a good mix of numerical and theoretic work. The individual contributions are well written, attractive, and by authorities in the field. A sample of subjects: Applications of scaling theory to subdivision algorithms, interpolation, radial bases, computer graphics, non-uniform splines... Combining ideas from approximation theory, harmonic analysis, wavelets, numerical analysis, computer graphics. Nicely presented tutorials. Very readable!
Review by Palle Jorgensen, August 2003.