Multivariate Polysplines: Applications to Numerical and Wavelet Analysis

Ognyan Kounchev

ISBN 10: 012390935X / ISBN 13: 9780123909350

Editore: Academic Press, 2001

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520 pages. 9.43x6.15x1.18 inches. This item is printed on demand. Codice articolo zk012390935X

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Titolo: Multivariate Polysplines: Applications to ...

Casa editrice: Academic Press

Data di pubblicazione: 2001

Legatura: Paperback

Condizione: Brand New

Descrizione articolo

Riassunto:

Multivariate polysplines are a new mathematical technique that has arisen from a synthesis of approximation theory and the theory of partial differential equations. It is an invaluable means to interpolate practical data with smooth functions. Multivariate polysplines have applications in the design of surfaces and "smoothing" that are essential in computer aided geometric design (CAGD and CAD/CAM systems), geophysics, magnetism, geodesy, geography, wavelet analysis and signal and image processing. In many cases involving practical data in these areas, polysplines are proving more effective than well-established methods, such as kKriging, radial basis functions, thin plate splines and minimum curvature.

L'autore:

Ognyan Kounchev received his M.S. in partial differential equations from Sofia University, Bulgaria and his Ph.D. in optimal control of partial differential equations and numerical methods from the University of Belarus, Minsk. He was awarded a grant from the Volkswagen Foundation (1996-1999) for studying the applications of partial differential equations in approximation and spline theory. Currently, Dr Kounchev is a Fulbright Scholar at the University of Wisconsin-Madison where he works in the Wavelet Ideal Data Representation Center in the Department of Computer Sciences.