Multivariate splines: "A compilation of the material ... presented at the Regional Conference on Theory and Applications of Multivariate Splines held at Howard University in Washington, D.C., ... August 10-14, 1987"--Pref
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch Tagungsbericht E-Book |
| Sprache: | English |
| Veröffentlicht: |
Philadelphia, Pa.
Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
1988
|
| Schriftenreihe: | CBMS-NSF regional conference series in applied mathematics
54 |
| Schlagworte: | |
| Online-Zugang: | TUM01 UBW01 UBY01 UER01 Volltext |
| Beschreibung: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (s. 177-189) Univariate splines: B-splines and truncated powers on uniform mesh -- Univariate spline spaces -- Some basic properties of B-splines -- B-spline series -- Computation of B-splines -- Box splines and multivariate truncated powers: box splines -- Basic properties of box splines -- Multivariate truncated powers -- Box spline series -- Bivariate splines on three and four directional meshes: dimension -- Locally supported splines -- Minimal and quasi-minimal supported bivariate splines -- Bases and approximation order -- Quasi-interpolation Schemes: The commutator operator -- Polynomial-generating formulas -- Construction of quasi-interpolants -- Neumann series approach -- Multivariate interpolation: Interpolation by polynomials -- Lagrange interpolation by multivariate splines -- Cardinal interpolation with nonsingular -- Cardinal interpolation with singular -- Scaled cardinal interpolation -- Shape-reserving approximation and other applications: Shape-preserving approximation by box spline series -- Shape-preserving quasi-interpolation and interpolation -- Application of CAGD -- Reconstruction of gradient fields -- Applications to signal processing The subject of multivariate splines has become a rapidly growing field of mathematical research. The author presents the subject from an elementary point of view that parallels the theory and development of univariate spline analysis. To compensate for the missing proofs and details, an extensive bibliography has been included. There is a presentation of open problems with an emphasis on the theory and applications to computer-aided design, data analysis, and surface fitting. Applied mathematicians and engineers working in the areas of curve fitting, finite element methods, computer-aided geometric design, signal processing, mathematical modelling, computer-aided design, computer-aided manufacturing, and circuits and systems will find this monograph essential to their research |
| Beschreibung: | 1 Online-Ressource (vi, 189 Seiten) |
| ISBN: | 0898712262 9780898712261 |
| DOI: | 10.1137/1.9781611970173 |
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Datensatz im Suchindex
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| series | CBMS-NSF regional conference series in applied mathematics |
| series2 | CBMS-NSF regional conference series in applied mathematics |
| spelling | Chui, Charles K. 1940- Verfasser (DE-588)12038695X aut Multivariate splines "A compilation of the material ... presented at the Regional Conference on Theory and Applications of Multivariate Splines held at Howard University in Washington, D.C., ... August 10-14, 1987"--Pref Charles K. Chui Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) 1988 1 Online-Ressource (vi, 189 Seiten) txt rdacontent c rdamedia cr rdacarrier CBMS-NSF regional conference series in applied mathematics 54 Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (s. 177-189) Univariate splines: B-splines and truncated powers on uniform mesh -- Univariate spline spaces -- Some basic properties of B-splines -- B-spline series -- Computation of B-splines -- Box splines and multivariate truncated powers: box splines -- Basic properties of box splines -- Multivariate truncated powers -- Box spline series -- Bivariate splines on three and four directional meshes: dimension -- Locally supported splines -- Minimal and quasi-minimal supported bivariate splines -- Bases and approximation order -- Quasi-interpolation Schemes: The commutator operator -- Polynomial-generating formulas -- Construction of quasi-interpolants -- Neumann series approach -- Multivariate interpolation: Interpolation by polynomials -- Lagrange interpolation by multivariate splines -- Cardinal interpolation with nonsingular -- Cardinal interpolation with singular -- Scaled cardinal interpolation -- Shape-reserving approximation and other applications: Shape-preserving approximation by box spline series -- Shape-preserving quasi-interpolation and interpolation -- Application of CAGD -- Reconstruction of gradient fields -- Applications to signal processing The subject of multivariate splines has become a rapidly growing field of mathematical research. The author presents the subject from an elementary point of view that parallels the theory and development of univariate spline analysis. To compensate for the missing proofs and details, an extensive bibliography has been included. There is a presentation of open problems with an emphasis on the theory and applications to computer-aided design, data analysis, and surface fitting. Applied mathematicians and engineers working in the areas of curve fitting, finite element methods, computer-aided geometric design, signal processing, mathematical modelling, computer-aided design, computer-aided manufacturing, and circuits and systems will find this monograph essential to their research Spline theory / Congresses Multivariate analysis / Congresses Spline-Approximation (DE-588)4182394-1 gnd rswk-swf Spline-Funktion (DE-588)4056332-7 gnd rswk-swf Spline (DE-588)4182391-6 gnd rswk-swf Multivariate Analyse (DE-588)4040708-1 gnd rswk-swf Mehrere Variable (DE-588)4277015-4 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Multivariate Analyse (DE-588)4040708-1 s DE-604 Spline (DE-588)4182391-6 s Mehrere Variable (DE-588)4277015-4 s Spline-Funktion (DE-588)4056332-7 s 1\p DE-604 Spline-Approximation (DE-588)4182394-1 s 2\p DE-604 Regional Conference on Theory and Applications of Multivariate Splines 1987 Washington, DC Sonstige (DE-588)1091189951 oth Erscheint auch als Druck-Ausgabe, Paperback 0898712262 Erscheint auch als Druck-Ausgabe, Paperback 9780898712261 CBMS-NSF regional conference series in applied mathematics 54 (DE-604)BV046682627 54 https://doi.org/10.1137/1.9781611970173 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Chui, Charles K. 1940- Multivariate splines "A compilation of the material ... presented at the Regional Conference on Theory and Applications of Multivariate Splines held at Howard University in Washington, D.C., ... August 10-14, 1987"--Pref CBMS-NSF regional conference series in applied mathematics Spline theory / Congresses Multivariate analysis / Congresses Spline-Approximation (DE-588)4182394-1 gnd Spline-Funktion (DE-588)4056332-7 gnd Spline (DE-588)4182391-6 gnd Multivariate Analyse (DE-588)4040708-1 gnd Mehrere Variable (DE-588)4277015-4 gnd |
| subject_GND | (DE-588)4182394-1 (DE-588)4056332-7 (DE-588)4182391-6 (DE-588)4040708-1 (DE-588)4277015-4 (DE-588)1071861417 |
| title | Multivariate splines "A compilation of the material ... presented at the Regional Conference on Theory and Applications of Multivariate Splines held at Howard University in Washington, D.C., ... August 10-14, 1987"--Pref |
| title_auth | Multivariate splines "A compilation of the material ... presented at the Regional Conference on Theory and Applications of Multivariate Splines held at Howard University in Washington, D.C., ... August 10-14, 1987"--Pref |
| title_exact_search | Multivariate splines "A compilation of the material ... presented at the Regional Conference on Theory and Applications of Multivariate Splines held at Howard University in Washington, D.C., ... August 10-14, 1987"--Pref |
| title_full | Multivariate splines "A compilation of the material ... presented at the Regional Conference on Theory and Applications of Multivariate Splines held at Howard University in Washington, D.C., ... August 10-14, 1987"--Pref Charles K. Chui |
| title_fullStr | Multivariate splines "A compilation of the material ... presented at the Regional Conference on Theory and Applications of Multivariate Splines held at Howard University in Washington, D.C., ... August 10-14, 1987"--Pref Charles K. Chui |
| title_full_unstemmed | Multivariate splines "A compilation of the material ... presented at the Regional Conference on Theory and Applications of Multivariate Splines held at Howard University in Washington, D.C., ... August 10-14, 1987"--Pref Charles K. Chui |
| title_short | Multivariate splines |
| title_sort | multivariate splines a compilation of the material presented at the regional conference on theory and applications of multivariate splines held at howard university in washington d c august 10 14 1987 pref |
| title_sub | "A compilation of the material ... presented at the Regional Conference on Theory and Applications of Multivariate Splines held at Howard University in Washington, D.C., ... August 10-14, 1987"--Pref |
| topic | Spline theory / Congresses Multivariate analysis / Congresses Spline-Approximation (DE-588)4182394-1 gnd Spline-Funktion (DE-588)4056332-7 gnd Spline (DE-588)4182391-6 gnd Multivariate Analyse (DE-588)4040708-1 gnd Mehrere Variable (DE-588)4277015-4 gnd |
| topic_facet | Spline theory / Congresses Multivariate analysis / Congresses Spline-Approximation Spline-Funktion Spline Multivariate Analyse Mehrere Variable Konferenzschrift |
| url | https://doi.org/10.1137/1.9781611970173 |
| volume_link | (DE-604)BV046682627 |
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