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Multivariate Polysplines: Applications to Numerical and Wavelet Analysis

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.

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	Multivariate Statistical Inference and Applications, Volume 2, Methods of Multivariate Analysis Alvin C. Rencher, "Multivariate Statistical Inference and Applications, Volume 2, Methods of Multivariate Analysis" Wiley-Interscience; Har/Dsk edition (December 15, 1997) \| ISBN:0471571512 \| 592 pages \| Djvu \| 3,9 Mb ...
	Science/Engineering Multiscale Wavelet Methods for Partial Differential Equations (Wavelet Analysis and Its Applications) Multiscale Wavelet Methods for Partial Differential Equations (Wavelet Analysis and Its Applications)Academic Press \| ISBN: 0122006755 \| 1997-01-15 \| PDF \| 570 pages \| 23 Mb This latest volume in the Wavelets Analysis and Its Applications S ...
	Science/Engineering Multivariate Polysplines: Applications to Numerical and Wavelet Analysis (repost) O. I. Kounchev, "Multivariate Polysplines: Applications to Numerical and Wavelet Analysis" Academic Press \| 2001 \| ISBN: 0124224903 \| 498 pages \| PDF \| 12,6 MB Multivariate polysplines are a new mathematical technique that has arisen from ...
	Technical A Wavelet Tour of Signal Processing, Second Edition (Wavelet Analysis & Its Applications) ISBN: 012466606X Publisher: Academic Press Author: Stephane MallatDescription:This book is intended to serve as an invaluable reference for anyone concerned with the application of wavelets to signal processing. It has evolved from material ...
	Science/Engineering Multivariate Polysplines Applications to Numerical and Wavelet Analysis Author: Ognyan Kounchev, «Multivariate Polysplines Applications to Numerical and Wavelet Analysis»Academic Press \| ISBN: 9780124224902 \| 2001 \| PDF \| 13 mbMultivariate polysplines are a new mathematical technique that has arisen from a sy ...
	Technical Multivariate Polysplines Title: Multivariate PolysplinesPassword: thank2nikitosDescription:Multivariate Polysplines: Applications to Numerical and Wavelet AnalysisDetails Here:rapidsharebooks.org/2007/08/multivariate-polysplines.htmlLinks

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