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070802s2006 ne a ob 001 0 eng d |
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|a0444518444
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|aNZ1|b12434574
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|a(OCoLC)162130513
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|a117117:117219|bElsevier Science & Technology|nhttp://www.sciencedirect.com
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|aOPELS|cOPELS
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|aQA278|b.T667 2006eb
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|a519.5/35|222
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245 |
00
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|aTopics in multivariate approximation and interpolation|h[electronic resource] /|cedited by Kurt Jetter ... [et al.].
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250 |
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|a1st ed.
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260 |
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|aAmsterdam ;|aBoston :|bElsevier,|c2006.
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300 |
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|aix, 346 p. :|bill. ;|c25 cm.
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440 |
0
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|aStudies in computational mathematics,|x1570-579X ;|v12
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|aIncludes bibliographical references and index.
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|aPreface. -- 1. Durrmeyer Operators and Their Natural Quasi-Interpolants (E. Berdysheva, K. Jetter and J. S�tckler). -- 2. Three Families of Nonlinear Subdivision Schemes (N. Dyn). -- 3. Parameterization for Curve Interpolation (M.S. Floater and T. Surazhsky). -- 4. Refinable Multivariate Spline Functions (T. Goodman and D. Hardin). -- 5. Adaptive Wavelets for Sparse Representations of Scattered Data (A. Kunoth). -- 6. Ready-to-Blossom Bases in Chebyshev Spaces (M-L. Mazure). -- 7. Structural Analysis of Subdivision Surfaces - A Summary (U. Reif and J. Peters). -- 8. Polynomial Interpolation in Several Variables: Lattices, Differences and Ideals (T. Sauer). -- 9. Computational Aspects of Radial Basis Function Approximation (H. Wendland). -- 10. Learning Theory: From Regression to Classification (Q. Wu, Y. Ying and D-X. Zhou). -- 11. Coherent States from Nonunitary Representations (G. Zimmermann). -- Index.
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|aDurrmeyer operators and their natural quasi-interpolants -- Three families of nonlinear subdivision schemes -- Parameterization for curve interpolation -- Refinable multivariate spline functions -- Adaptive wavelets for sparse representations of scattered data -- Ready-to-blossom bases in Chebyshev spaces -- Structural analysis of subdivision surfaces-a summary -- Polynomial interpolation in several variables : lattices, differences, and ideals -- Computational aspects of radial basis function approximation -- Learning theory : from regression to classification -- Coherent states from nonunitary representations
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|aThis book is a collection of eleven articles, written by leading experts and dealing with special topics in Multivariate Approximation and Interpolation. The material discussed here has far-reaching applications in many areas of Applied Mathematics, such as in Computer Aided Geometric Design, in Mathematical Modelling, in Signal and Image Processing and in Machine Learning, to mention a few. The book aims at giving a comprehensive information leading the reader from the fundamental notions and results of each field to the forefront of research. It is an ideal and up-to-date introduction for graduate students specializing in these topics, and for researchers in universities and in industry. - A collection of articles of highest scientific standard. - An excellent introduction and overview of recent topics from multivariate approximation. - A valuable source of references for specialists in the field. - A representation of the state-of-the-art in selected areas of multivariate approximation. - A rigorous mathematical introduction to special topics of interdisciplinary research.
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|aElectronic reproduction.|bAmsterdam :|cElsevier Science & Technology,|d2007.|nMode of access: World Wide Web.|nSystem requirements: Web browser.|nTitle from title screen (viewed on July 25, 2007).|nAccess may be restricted to users at subscribing institutions.
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0
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|aMultivariate analysis|xResearch.
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0
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|aApproximation theory|xResearch.
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650 |
0
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|aInterpolation|xResearch.
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650 |
6
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|aAnalyse multivari�ee|xRecherche.
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6
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|aApproximation, Th�eorie de l'|xRecherche.
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650 |
6
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|aInterpolation|xRecherche.
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655 |
7
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|aElectronic books.|2local
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700 |
1
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|aJetter, K.
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710 |
2
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|aScienceDirect (Online service)
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1
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|cOriginal|z9780444518446|z0444518444|w(DLC) 2005052187|w(OCoLC)61362210
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|3ScienceDirect|uhttp://www.sciencedirect.com/science/book/9780444518446|zAn electronic book accessible through the World Wide Web; click for information
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