Multivariate Polysplines pdf epub mobi txt 電子書 下載 2024


Multivariate Polysplines

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Kounchev, Ognyan
2001-7
498
$ 163.85
9780124224902

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发表于2024-11-11

Multivariate Polysplines epub 下載 mobi 下載 pdf 下載 txt 電子書 下載 2024

Multivariate Polysplines epub 下載 mobi 下載 pdf 下載 txt 電子書 下載 2024

Multivariate Polysplines pdf epub mobi txt 電子書 下載 2024



圖書描述

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 Kriging, 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.

Multivariate Polysplines 下載 mobi epub pdf txt 電子書

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