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Topics in multivariate approximation and interpolation

紀錄類型:	書目-電子資源 : 單行本
正題名/作者:	Topics in multivariate approximation and interpolation/ edited by Kurt Jetter ... [et al.].
其他作者:	Jetter, K.
出版者:	Amsterdam ;Elsevier, : 2006.,
面頁冊數:	ix, 346 p. :ill. ; : 25 cm.;
叢書名:	Studies in computational mathematics,
標題:	Multivariate analysis - Research. -
電子資源:	An electronic book accessible through the World Wide Web; click for information
ISBN:	9780444518446

Topics in multivariate approximation and interpolation
Topics in multivariate approximation and interpolation[electronic resource] /edited by Kurt Jetter ... [et al.]. - 1st ed. - Amsterdam ;Elsevier,2006. - ix, 346 p. :ill. ;25 cm. - Studies in computational mathematics,121570-579X ;.

Includes bibliographical references and index.

Preface. -- 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.

This 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.<P> - 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.

Electronic reproduction.
Amsterdam :
Elsevier Science & Technology,
2007.

Mode of access: World Wide Web.

ISBN: 9780444518446

Source: 117117:117219Elsevier Science & Technologyhttp://www.sciencedirect.comSubjects--Topical Terms:

292437
Multivariate analysis
--Research.Index Terms--Genre/Form:

96803
Electronic books.

LC Class. No.: QA278 / .T667 2006eb

Dewey Class. No.: 519.5/35

Topics in multivariate approximation and interpolation
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245 0 0 $a Topics in multivariate approximation and interpolation $h [electronic resource] / $c edited by Kurt Jetter ... [et al.].
250 $a 1st ed.
260 $a Amsterdam ; $a Boston : $c 2006. $b Elsevier,
300 $a ix, 346 p. : $b ill. ; $c 25 cm.
440 0 $a Studies in computational mathematics, $x 1570-579X ; $v 12
504 $a Includes bibliographical references and index.
505 0 $a Preface. -- 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.
505 0 $a Durrmeyer 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
520 $a This 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.<P> - 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.
533 $a Electronic reproduction. $b Amsterdam : $c Elsevier Science & Technology, $d 2007. $n Mode of access: World Wide Web. $n System requirements: Web browser. $n Title from title screen (viewed on July 25, 2007). $n Access may be restricted to users at subscribing institutions.
650 0 $a Multivariate analysis $x Research. $3 292437
650 0 $a Approximation theory $x Research. $3 292438
650 0 $a Interpolation $x Research. $3 292439
650 6 $a Analyse multivari�ee $x Recherche. $3 292440
650 6 $a Approximation, Th�eorie de l' $x Recherche. $3 292441
650 6 $a Interpolation $x Recherche. $3 292442
655 7 $a Electronic books. $2 local. $3 96803
700 1 $a Jetter, K. $3 292436
710 2 $a ScienceDirect (Online service) $3 254709
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856 4 0 $3 ScienceDirect $u http://www.sciencedirect.com/science/publication?issn=1570579X&volume=12 $z An electronic book accessible through the World Wide Web; click for information
856 4 0 $3 Referex $u http://www.engineeringvillage.com/controller/servlet/OpenURL?genre=book&isbn=9780444518446 $z An electronic book accessible through the World Wide Web; click for information
856 4 1 $3 Table of contents only $u http://www.loc.gov/catdir/toc/fy0710/2005052187.html
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