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Multivariate Polysplines - Applications to Numerical and Wavelet Analysis (Cód: 3026725)

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Multivariate Polysplines - Applications to Numerical and Wavelet Analysis

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Descrição

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 'quot;smoothing'quot; 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 topicPart 2 develops the theory of cardinal Polysplines, which is a natural generalization of Schoenberg'apos;s beautiful one-dimensional theory of cardinal splinesPart 3 constructs a wavelet analysis using cardinal Polysplines. The results parallel those found by Chui for the one-dimensional casePart 4 considers the ultimate generalization of Polysplines - on manifolds, for a wide class of higher-order elliptic operators and satisfying a Holladay variational property

Características

Peso 0.00 Kg
Produto sob encomenda Sim
Marca ELSEVIER S&T
Número de Páginas 498 (aproximado)
Acabamento e-book
Formato Livro Digital Epub
Proteção Drm Sim
Tamanho do Arquivo 8187
Início da Venda 11/06/2001
Cód. Barras 9780080525006
Ano da edição 62001
Ano da Publicação 2001