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Multivariate Approximation : From Cagd To Wavelets - Proceedings Of The International Workshop

Author : Kurt Jetter
Publisher : World Scientific
Page : 349 pages
File Size : 35,53 MB
Release : 1993-11-30
Category :
ISBN : 9814602523

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Contents: Fast Algorithms for Simultaneous Polynomial Approximation (G Baszenski & M Tasche)α-Spline of Smoothing for Correlated Errors in Dimension Two (M Bozzini & L Lenarduzzi)New Developments in the Theory of Radial Basis Function Interpolation (M D Buhmann)Realization of Neural Networks with One Hidden Layer (C K Chui & X Li)A General Method for Constrained Curves with Boundary Conditions (P Costantini)Sign-Regular and Totally Positive Matrices: An Algorithmic Approach (M Gasca & J M Peña)Some Results on Blossoming and Multivariate B-Splines (R Gormaz & P-J Laurent)Riesz Bounds in Scattered Data Interpolation and L2-Approximation (K Jetter)On Multivariate Hermite Polynomial Interpolation (A Le Méhauté)Quantitative Approximation Results for Sigma-Pi-Type Neural Network Operators (B Lenze)Local Interpolation Schemes — From Curves to Surfaces (D Levin)Some Results on Approximation by Smoothing Dm-Splines (M C L de Silanes) Readership: Applied mathematicians.

Multivariate Approximation: from Cagd to Wavelets

Author : Kurt Jetter
Publisher : World Scientific Publishing Company Incorporated
Page : 333 pages
File Size : 23,43 MB
Release : 1993
Category :
ISBN : 9789810238063

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Presents papers from an international workshop on multivariate approximation. Topics discussed include: characterization and creation of wavelet frames; fast algorithms for simultaneous polynomial approximation; and quantitative aspects of wavelet bases in L2.

Advanced Topics In Multivariate Approximation - Proceedings Of The International Workshop

Author : Fontanella F
Publisher : World Scientific
Page : 380 pages
File Size : 37,90 MB
Release : 1996-11-13
Category :
ISBN : 9814547190

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This volume consists of 24 refereed carefully edited papers on various topics in multivariate approximation. It represents the proceedings of a workshop organized by the University of Firenze, and held in September 1995 in Montecatini, Italy.The main themes of the volume are multiresolution analysis and wavelets, multidimensional interpolation and smoothing, and computer-aided geometric design. A number of particular topics are included, like subdivision algorithms, constrained approximation and shape-preserving algorithms, thin plate splines, radial basis functions, treatment of scattered data, rational surfaces and offsets, blossoming, grid generation, surface reconstruction, algebraic curves and surfaces, and neural networks.

Multivariate Approximation Theory IV

Author : CHUI
Publisher : Birkhäuser
Page : 348 pages
File Size : 19,38 MB
Release : 2013-03-08
Category : Science
ISBN : 3034872984

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Multivariate Approximation Theory forms a rapidly evolving field in Applied Mathematics. The reason for its particular current interest lies in its impact on Computer Aided Geometric Design (CAGD), Image Processing, Pattern Recogni tion, and Mult idimensional Signal Processing. Mul ti var iate Bernstein polynomials and box splines, for example, play an important role in CAGD. Conversely, the highly important filter bank design problem of signal processing, for instance, gives rise to a new family of multivariate approximating functions, the Gabor wavelets, with interesting technological and biological applications. The conferences on Multivariate Approximation Theory held at the Mathematical Research Institute at Oberwolfach, Black Forest, in 1976, 1979, 1982, 1985 and 1989 ref lect the progress made in this area and related fie Ids. The present volume which is a continuation of the preceding volumes Constructive Theory of Functions of Several Variables, Lecture Notes in Mathematics 571 (1977) Multivariate Approximation Theory, ISNM 51 (1979) Multivariate Approximation Theory II, ISNM 61 (1982) Multivariate Approximation Theory III, ISNM 75 (1985) is based on the conference held on February 12-18, 1989. It includes most of the lectures presented at the Oberwolfach meeting and reveals the wide spectrum of activities in the field of multivariate approximation. The organizers are grateful to the Director of the Oberwolfach Mathematical Research Institute, Professor Dr. M. Barner, and his staff for providing the facili ties, and to Dr. G. Baszenski, Professor Dr. F. J. Delvos, Dr. H.

Meshfree Approximation Methods with MATLAB

Author : Gregory E. Fasshauer
Publisher : World Scientific
Page : 520 pages
File Size : 18,49 MB
Release : 2007
Category : Technology & Engineering
ISBN : 981270633X

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Meshfree approximation methods are a relatively new area of research. This book provides the salient theoretical results needed for a basic understanding of meshfree approximation methods. It places emphasis on a hands-on approach that includes MATLAB routines for all basic operations.

Meshfree Approximation Methods With Matlab (With Cd-rom)

Author : Gregory E Fasshauer
Publisher : World Scientific Publishing Company
Page : 520 pages
File Size : 22,28 MB
Release : 2007-04-17
Category : Mathematics
ISBN : 9813101571

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Meshfree approximation methods are a relatively new area of research, and there are only a few books covering it at present. Whereas other works focus almost entirely on theoretical aspects or applications in the engineering field, this book provides the salient theoretical results needed for a basic understanding of meshfree approximation methods.The emphasis here is on a hands-on approach that includes MATLAB routines for all basic operations. Meshfree approximation methods, such as radial basis function and moving least squares method, are discussed from a scattered data approximation and partial differential equations point of view. A good balance is supplied between the necessary theory and implementation in terms of many MATLAB programs, with examples and applications to illustrate key points. Used as class notes for graduate courses at Northwestern University, Illinois Institute of Technology, and Vanderbilt University, this book will appeal to both mathematics and engineering graduate students.

Advanced Course on FAIRSHAPE

Author : Panagiotis Kaklis
Publisher : Springer Science & Business Media
Page : 276 pages
File Size : 49,79 MB
Release : 2012-12-06
Category : Computers
ISBN : 3322829693

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Wavelets, Images, and Surface Fitting

Author : Pierre-Jean Laurent
Publisher : CRC Press
Page : 545 pages
File Size : 40,53 MB
Release : 1994-07-15
Category : Computers
ISBN : 1439863601

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This volume documents the results and presentations relating to the use of wavelet theory and other methods in surface fitting and image reconstruction of the Second International Conference on Curves and Surfaces, held in Chamonix in 1993. The papers represent directions for future research and development in many areas of application.