Multivariate Polysplines: Applications to Numerical and Wavelet Analysis

Sprache: Englisch

Verlag: Academic Press, 2011

012390935X / 9780123909350

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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.…

Bestandsnummer des Verkäufers 008027

Titel
Multivariate Polysplines: Applications to Numerical and Wavelet Analysis
Autor
Ognyan Kounchev
Verlag
Academic Press
Veröffentlichungsjahr
2011
Zustand
Good
Einband
Soft cover
Sprache
Englisch
ISBN-10
012390935X
ISBN-13
9780123909350

killarneybooks

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All U.S.-bound orders are now shipped with UPS for reliable delivery. Additional customs or import fees are highly unlikely; however, please note buyers remain responsible for any duties or taxes that U.S. Customs may assess. -- Killarneybooks is a family-run bookshop based in the Republic of Ireland. We take pride in accurate listings, careful packaging, and prompt service - most orders ship within 24 hours. All books listed are in stock and ready for immediate dispatch - we are not dropshippers. Inquiries always welcome.…

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