Multivariate approximation and applications:
Multivariate approximation theory is today an increasingly active research area. It encompasses a wide range of tools for multivariate approximation such as multi-dimensional splines and finite elements, shift-invariant spaces and radial-basis functions. Approximation theory in the multivariate sett...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2001
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | Multivariate approximation theory is today an increasingly active research area. It encompasses a wide range of tools for multivariate approximation such as multi-dimensional splines and finite elements, shift-invariant spaces and radial-basis functions. Approximation theory in the multivariate setting has many applications including numerical analysis, wavelet analysis, signal processing, geographic information systems, computer aided geometric design and computer graphics. The field is fascinating since much of the mathematics of the classical univariate theory does not straightforwardly generalize to the multivariate setting, so new tools are required. This advanced introduction to multivariate approximation and related topics consists of nine articles written by leading experts surveying many of the new ideas and their applications. Each article introduces a particular topic, takes the reader to the forefront of research and ends with a comprehensive bibliography. This unique account is an ideal introduction to the subject for researchers, in universities and industry, and graduate students |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (x, 286 pages) |
| ISBN: | 9780511569616 |
| DOI: | 10.1017/CBO9780511569616 |
Internformat
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| 505 | 8 | 0 | |t Characterization and construction of radial basis functions |r R. Schaback and H. Wendland |t Approximation and interpolation with radial functions |r M.D. Buhmann |t Representing and analyzing scattered data on spheres |r H.N. Mhaskar, F.J. Narcowich and J.D. Ward |t A survey on L₂-approximation orders from shift-invariant spaces |r K. Jetter and G. Plonka |t Introduction to shift-invariant spaces. Linear independence |r A. Ron |t Theory and algorithms for nonuniform spline wavelets |r T. Lyche, K. Mørken and E. Quak |t Applied and computational aspects of nonlinear wavelet approximation |r A. Cohen |t Subdivision, multiresolution and the construction of scalable algorithms in computer graphics |r P. Schröder |t Mathematical methods in reverse engineering |r J. Hoschek |
| 520 | |a Multivariate approximation theory is today an increasingly active research area. It encompasses a wide range of tools for multivariate approximation such as multi-dimensional splines and finite elements, shift-invariant spaces and radial-basis functions. Approximation theory in the multivariate setting has many applications including numerical analysis, wavelet analysis, signal processing, geographic information systems, computer aided geometric design and computer graphics. The field is fascinating since much of the mathematics of the classical univariate theory does not straightforwardly generalize to the multivariate setting, so new tools are required. This advanced introduction to multivariate approximation and related topics consists of nine articles written by leading experts surveying many of the new ideas and their applications. Each article introduces a particular topic, takes the reader to the forefront of research and ends with a comprehensive bibliography. This unique account is an ideal introduction to the subject for researchers, in universities and industry, and graduate students | ||
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| author_additional | R. Schaback and H. Wendland M.D. Buhmann H.N. Mhaskar, F.J. Narcowich and J.D. Ward K. Jetter and G. Plonka A. Ron T. Lyche, K. Mørken and E. Quak A. Cohen P. Schröder J. Hoschek |
| author_facet | Dyn, N. |
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| contents | Characterization and construction of radial basis functions Approximation and interpolation with radial functions Representing and analyzing scattered data on spheres A survey on L₂-approximation orders from shift-invariant spaces Introduction to shift-invariant spaces. Linear independence Theory and algorithms for nonuniform spline wavelets Applied and computational aspects of nonlinear wavelet approximation Subdivision, multiresolution and the construction of scalable algorithms in computer graphics Mathematical methods in reverse engineering |
| ctrlnum | (ZDB-20-CBO)CR9780511569616 (OCoLC)667894754 (DE-599)BVBBV043944823 |
| dewey-full | 511/.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.4 |
| dewey-search | 511/.4 |
| dewey-sort | 3511 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511569616 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:39:22Z |
| institution | BVB |
| isbn | 9780511569616 |
| language | English |
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| spelling | Multivariate approximation and applications edited by N. Dyn [and others] Multivariate Approximation & Applications Cambridge Cambridge University Press 2001 1 online resource (x, 286 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Characterization and construction of radial basis functions R. Schaback and H. Wendland Approximation and interpolation with radial functions M.D. Buhmann Representing and analyzing scattered data on spheres H.N. Mhaskar, F.J. Narcowich and J.D. Ward A survey on L₂-approximation orders from shift-invariant spaces K. Jetter and G. Plonka Introduction to shift-invariant spaces. Linear independence A. Ron Theory and algorithms for nonuniform spline wavelets T. Lyche, K. Mørken and E. Quak Applied and computational aspects of nonlinear wavelet approximation A. Cohen Subdivision, multiresolution and the construction of scalable algorithms in computer graphics P. Schröder Mathematical methods in reverse engineering J. Hoschek Multivariate approximation theory is today an increasingly active research area. It encompasses a wide range of tools for multivariate approximation such as multi-dimensional splines and finite elements, shift-invariant spaces and radial-basis functions. Approximation theory in the multivariate setting has many applications including numerical analysis, wavelet analysis, signal processing, geographic information systems, computer aided geometric design and computer graphics. The field is fascinating since much of the mathematics of the classical univariate theory does not straightforwardly generalize to the multivariate setting, so new tools are required. This advanced introduction to multivariate approximation and related topics consists of nine articles written by leading experts surveying many of the new ideas and their applications. Each article introduces a particular topic, takes the reader to the forefront of research and ends with a comprehensive bibliography. This unique account is an ideal introduction to the subject for researchers, in universities and industry, and graduate students Approximation theory Multivariate Approximation (DE-588)4314108-0 gnd rswk-swf Multivariate Approximation (DE-588)4314108-0 s 1\p DE-604 Dyn, N. edt Erscheint auch als Druckausgabe 978-0-521-80023-5 https://doi.org/10.1017/CBO9780511569616 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Multivariate approximation and applications Characterization and construction of radial basis functions Approximation and interpolation with radial functions Representing and analyzing scattered data on spheres A survey on L₂-approximation orders from shift-invariant spaces Introduction to shift-invariant spaces. Linear independence Theory and algorithms for nonuniform spline wavelets Applied and computational aspects of nonlinear wavelet approximation Subdivision, multiresolution and the construction of scalable algorithms in computer graphics Mathematical methods in reverse engineering Approximation theory Multivariate Approximation (DE-588)4314108-0 gnd |
| subject_GND | (DE-588)4314108-0 |
| title | Multivariate approximation and applications |
| title_alt | Multivariate Approximation & Applications Characterization and construction of radial basis functions Approximation and interpolation with radial functions Representing and analyzing scattered data on spheres A survey on L₂-approximation orders from shift-invariant spaces Introduction to shift-invariant spaces. Linear independence Theory and algorithms for nonuniform spline wavelets Applied and computational aspects of nonlinear wavelet approximation Subdivision, multiresolution and the construction of scalable algorithms in computer graphics Mathematical methods in reverse engineering |
| title_auth | Multivariate approximation and applications |
| title_exact_search | Multivariate approximation and applications |
| title_full | Multivariate approximation and applications edited by N. Dyn [and others] |
| title_fullStr | Multivariate approximation and applications edited by N. Dyn [and others] |
| title_full_unstemmed | Multivariate approximation and applications edited by N. Dyn [and others] |
| title_short | Multivariate approximation and applications |
| title_sort | multivariate approximation and applications |
| topic | Approximation theory Multivariate Approximation (DE-588)4314108-0 gnd |
| topic_facet | Approximation theory Multivariate Approximation |
| url | https://doi.org/10.1017/CBO9780511569616 |
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