Multivariate splines /

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 bi...

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Bibliographic Details
Main Author: Chui, C. K
Corporate Authors: Society for Industrial and Applied Mathematics, Regional Conference on Theory and Applications of Multivariate Splines
Format: Conference Proceeding Book
Language:English
Published: Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1988
Series:CBMS-NSF regional conference series in applied mathematics ; 54
Subjects:
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049 |a MAIN 
050 4 |a QA221  |b .C5 1988eb 
100 1 |a Chui, C. K  |1 http://viaf.org/viaf/69002665 
245 1 0 |a Multivariate splines /  |c Charles K. Chui 
260 |a Philadelphia, Pa. :  |b Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),  |c 1988 
300 |a 1 online resource (vi, 189 pages) :  |b illustrations, digital file 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a CBMS-NSF regional conference series in applied mathematics ;  |v 54 
500 |a Title from title screen, viewed 04/05/2011 
500 |a "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"--Preface 
504 |a Includes bibliographical references (pages 177-189) 
505 0 |a 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 
506 |a Restricted to subscribers or individual electronic text purchasers 
520 3 |a 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 
530 |a Also available in print version 
650 0 |a Multivariate analysis  |v Congresses 
650 0 |a Spline theory  |v Congresses 
650 7 |a Algebra  |2 hilcc 
650 7 |a Mathematics  |2 hilcc 
650 7 |a Multivariate analysis  |2 fast 
650 7 |a Physical Sciences & Mathematics  |2 hilcc 
650 7 |a Spline theory  |2 fast 
653 |a Approximation 
653 |a Bézier polynomials 
653 |a Interpolation 
653 |a Smoothing 
653 |a Splines 
655 4 |a Electronic books 
655 7 |a Conference papers and proceedings  |2 fast 
710 2 |a Society for Industrial and Applied Mathematics  |1 http://viaf.org/viaf/138967442 
711 2 |a Regional Conference on Theory and Applications of Multivariate Splines  |d (1987 :  |c Howard University)  |1 http://viaf.org/viaf/169401608 
776 0 8 |i Print version:  |z 0898712262  |z 9780898712261  |w (DLC) 88061569 
830 0 |a CBMS-NSF regional conference series in applied mathematics ;  |v 54 
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