Synopsis
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.
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Présentation de l'éditeur
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.
Biographie de l'auteur
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.
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Multivariate Polysplines: Applications to Numerical and Wavelet Analysis
Edité par
Academic Press, 2011
ISBN 10 : 012390935X
ISBN 13 : 9780123909350
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Soft cover
Vendeur : killarneybooks, Inagh, CLARE, Irlande
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Soft cover. Etat : Good. Oversized paperback, xiv + 498 pages, NOT ex-library. Weight 920g. Bumped upper corner of the front cover at spine (front cover with a short tear and a diagonal indentation; short creases in the upper inner corners of first pages; binding remains firm); a short diagonal crease to the lower outer corner of the front cover and first pages; faint handling marks on page edges externally. Else book looks unread, clean, bright, tight. Unmarked text, free of inscriptions and stamps. -- 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. -- Part 1 assumes no special knowledge of partial differential equations and is intended as a graduate level introduction to the topic. Part 2 develops the theory of cardinal Polysplines, which is a natural generalization of Schoenberg's beautiful one-dimensional theory of cardinal splines. Part 3 constructs a wavelet analysis using cardinal Polysplines. The results parallel those found by Chui for the one-dimensional case. Part 4 considers the ultimate generalization of Polysplines - on manifolds, for a wide class of higher-order elliptic operators and satisfying a Holladay variational property. -- Readership: Applied and pure mathematicians, computer scientists and researchers and engineers in signal and image processing, CAGD and CAD/CAM systems, geophysics, geography, magnetism and related disciplines. N° de réf. du vendeur 008027
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Multivariate Polysplines: Applications to Numerical and Wavelet Analysis
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Paperback. Etat : Brand New. 520 pages. 9.43x6.15x1.18 inches. This item is printed on demand. N° de réf. du vendeur zk012390935X
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