Multivariate Approximation From Cagd To Wavelets

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Multivariate Approximation: From CAGD to Wavelets

K Jetter,F I Utreras
Multivariate Approximation From CAGD to Wavelets Book PDF

Author : K Jetter,F I Utreras
Publisher : World Scientific
Page : 348 pages
File Size : 42,9 Mb
Release : 1993-11-30
Category : Electronic
ISBN : 9789814602525

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Multivariate Approximation: From CAGD to Wavelets by K Jetter,F I Utreras Pdf

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

Kurt Jetter,F. I. Uteras
Multivariate Approximation from Cagd to Wavelets Book PDF

Author : Kurt Jetter,F. I. Uteras
Publisher : World Scientific Publishing Company Incorporated
Page : 333 pages
File Size : 52,6 Mb
Release : 1993
Category : Electronic
ISBN : 9810238061

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Multivariate Approximation: from Cagd to Wavelets by Kurt Jetter,F. I. Uteras Pdf

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.

Multivariate Approximation and Splines

Günther Nürnberger,Jochen W. Schmidt,Guido Walz
Multivariate Approximation and Splines Book PDF

Author : Günther Nürnberger,Jochen W. Schmidt,Guido Walz
Publisher : Birkhäuser
Page : 329 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034888714

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Multivariate Approximation and Splines by Günther Nürnberger,Jochen W. Schmidt,Guido Walz Pdf

This book contains the refereed papers which were presented at the interna tional conference on "Multivariate Approximation and Splines" held in Mannheim, Germany, on September 7-10,1996. Fifty experts from Bulgaria, England, France, Israel, Netherlands, Norway, Poland, Switzerland, Ukraine, USA and Germany participated in the symposium. It was the aim of the conference to give an overview of recent developments in multivariate approximation with special emphasis on spline methods. The field is characterized by rapidly developing branches such as approximation, data fit ting, interpolation, splines, radial basis functions, neural networks, computer aided design methods, subdivision algorithms and wavelets. The research has applications in areas like industrial production, visualization, pattern recognition, image and signal processing, cognitive systems and modeling in geology, physics, biology and medicine. In the following, we briefly describe the contents of the papers. Exact inequalities of Kolmogorov type which estimate the derivatives of mul the paper of BABENKO, KOFANovand tivariate periodic functions are derived in PICHUGOV. These inequalities are applied to the approximation of classes of mul tivariate periodic functions and to the approximation by quasi-polynomials. BAINOV, DISHLIEV and HRISTOVA investigate initial value problems for non linear impulse differential-difference equations which have many applications in simulating real processes. By applying iterative techniques, sequences of lower and upper solutions are constructed which converge to a solution of the initial value problem.

Recent Progress in Multivariate Approximation

Werner Haussmann,Kurt Jetter,Manfred Reimer
Recent Progress in Multivariate Approximation Book PDF

Author : Werner Haussmann,Kurt Jetter,Manfred Reimer
Publisher : Birkhäuser
Page : 258 pages
File Size : 47,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034882729

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Recent Progress in Multivariate Approximation by Werner Haussmann,Kurt Jetter,Manfred Reimer Pdf

Nineteen contributions cover recent topics in constructive approximation on varieties, approximation by solutions of partial differential equations, application of Riesz bases and frames, multiwavelets and subdivision. An essential resource for researchers and graduates in applied mathematics, computer science and geophysics who are interested in the state-of-the-art developments in multivariate approximation.

Advanced Topics In Multivariate Approximation - Proceedings Of The International Workshop

Fontanella F,Jetter Kurt,Laurent P J
Advanced Topics In Multivariate Approximation Proceedings Of The International Workshop Book PDF

Author : Fontanella F,Jetter Kurt,Laurent P J
Publisher : World Scientific
Page : 380 pages
File Size : 43,6 Mb
Release : 1996-11-13
Category : Electronic
ISBN : 9789814547192

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Advanced Topics In Multivariate Approximation - Proceedings Of The International Workshop by Fontanella F,Jetter Kurt,Laurent P J Pdf

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 and Applications

N. Dyn
Multivariate Approximation and Applications Book PDF

Author : N. Dyn
Publisher : Cambridge University Press
Page : 300 pages
File Size : 46,9 Mb
Release : 2001-05-17
Category : Mathematics
ISBN : 9780521800235

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Multivariate Approximation and Applications by N. Dyn Pdf

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. 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 takes the reader to the forefront of research and ends with a comprehensive bibliography.

Wavelets

T. H. Koornwinder
Wavelets Book PDF

Author : T. H. Koornwinder
Publisher : World Scientific
Page : 244 pages
File Size : 47,6 Mb
Release : 1993-01-01
Category : Science
ISBN : 9810224869

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Wavelets by T. H. Koornwinder Pdf

Nowadays, some knowledge of wavelets is almost mandatory for mathematicians, physicists and electrical engineers. The emphasis in this volume, based on an intensive course on Wavelets given at CWI, Amsterdam, is on the affine case. The first part presents a concise introduction of the underlying theory to the uninitiated reader. The second part gives applications in various areas. Some of the contributions here are a fresh exposition of earlier work by others, while other papers contain new results by the authors. The areas are so diverse as seismic processing, quadrature formulae, and wavelet bases adapted to inhomogeneous cases.

Approximation Theory Viii - Volume 2: Wavelets And Multilevel Approximation

Charles K Chui,Larry L Schumaker
Approximation Theory Viii Volume 2 Wavelets And Multilevel Approximation Book PDF

Author : Charles K Chui,Larry L Schumaker
Publisher : World Scientific
Page : 454 pages
File Size : 41,8 Mb
Release : 1995-11-07
Category : Mathematics
ISBN : 9789814549073

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Approximation Theory Viii - Volume 2: Wavelets And Multilevel Approximation by Charles K Chui,Larry L Schumaker Pdf

This is the collection of the refereed and edited papers presented at the 8th Texas International Conference on Approximation Theory. It is interdisciplinary in nature and consists of two volumes. The central theme of Vol. I is the core of approximation theory. It includes such important areas as qualitative approximations, interpolation theory, rational approximations, radial-basis functions, and splines. The second volume focuses on topics related to wavelet analysis, including multiresolution and multi-level approximation, subdivision schemes in CAGD, and applications.

Wavelets And Renormalization

Guy Battle
Wavelets And Renormalization Book PDF

Author : Guy Battle
Publisher : World Scientific
Page : 588 pages
File Size : 53,5 Mb
Release : 1999-03-03
Category : Mathematics
ISBN : 9789814499125

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Wavelets And Renormalization by Guy Battle Pdf

WAVELETS AND RENORMALIZATION describes the role played by wavelets in Euclidean field theory and classical statistical mechanics. The author begins with a stream-lined introduction to quantum field theory from a rather basic point of view. Functional integrals for imaginary-time-ordered expectations are introduced early and naturally, while the connection with the statistical mechanics of classical spin systems is introduced in a later chapter.A vastly simplified (wavelet) version of the celebrated Glimm-Jaffe construction of the Φ43 quantum field theory is presented. It is due to Battle and Federbush, and it bases an inductively defined cluster expansion on a wavelet decomposition of the Euclidean quantum field. The presentation is reserved for the last chapter, while the more basic aspects of cluster expansions are reviewed in the chapter on classical spin systems.Wavelets themselves are studied from two different points of view arising from two disciplines. The mathematical point of view covers the basic properties of wavelets and methods for constructing well-known wavelets such as Meyer wavelets, Daubechies wavelets, etc. The physical point of view covers the renormalization group formalism, where there is a close connection between wavelets and Gaussian fixed points.The book is heavily mathematical, but avoids the theorem-proof-theorem-proof format in the interests of preserving the flow of the discussion — i.e., it is written in the style of an old-fashioned theoretical physics book, but the major claims are rigorously proven. The minor themes of the book are reflection positivity, the combinatorics of cluster expansions, and the issue of phase transitions — themes which have nothing to do with wavelets, but which provide necessary cultural background for the physical context.

Meshfree Approximation Methods with MATLAB

Gregory E. Fasshauer
Meshfree Approximation Methods with MATLAB Book PDF

Author : Gregory E. Fasshauer
Publisher : World Scientific
Page : 520 pages
File Size : 50,7 Mb
Release : 2007
Category : Technology & Engineering
ISBN : 9789812706331

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Meshfree Approximation Methods with MATLAB by Gregory E. Fasshauer Pdf

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.

Multidimensional Minimizing Splines

R. Arcangéli,María Cruz López de Silanes,Juan José Torrens
Multidimensional Minimizing Splines Book PDF

Author : R. Arcangéli,María Cruz López de Silanes,Juan José Torrens
Publisher : Springer Science & Business Media
Page : 267 pages
File Size : 51,6 Mb
Release : 2006-02-27
Category : Mathematics
ISBN : 9781402077876

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Multidimensional Minimizing Splines by R. Arcangéli,María Cruz López de Silanes,Juan José Torrens Pdf

This book is of interest to mathematicians, geologists, engineers and, in general, researchers and post graduate students involved in spline function theory, surface fitting problems or variational methods. From reviews: The book is well organized, and the English is very good. I recommend the book to researchers in approximation theory, and to anyone interested in bivariate data fitting." (L.L. Schumaker, Mathematical Reviews, 2005).

Introduction To The Theory Of Weighted Polynomial Approximation

H N Mhaskar
Introduction To The Theory Of Weighted Polynomial Approximation Book PDF

Author : H N Mhaskar
Publisher : World Scientific
Page : 396 pages
File Size : 45,7 Mb
Release : 1997-01-04
Category : Mathematics
ISBN : 9789814518055

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Introduction To The Theory Of Weighted Polynomial Approximation by H N Mhaskar Pdf

In this book, we have attempted to explain a variety of different techniques and ideas which have contributed to this subject in its course of successive refinements during the last 25 years. There are other books and surveys reviewing the ideas from the perspective of either potential theory or orthogonal polynomials. The main thrust of this book is to introduce the subject from an approximation theory point of view. Thus, the main motivation is to study analogues of results from classical trigonometric approximation theory, introducing other ideas as needed. It is not our objective to survey the most recent results, but merely to introduce to the readers the thought processes and ideas as they are developed.This book is intended to be self-contained, although the reader is expected to be familiar with rudimentary real and complex analysis. It will also help to have studied elementary trigonometric approximation theory, and have some exposure to orthogonal polynomials.

Approximate Solutions of Operator Equations

Mingjun Chen,Zhongying Chen,Guanrong Chen
Approximate Solutions of Operator Equations Book PDF

Author : Mingjun Chen,Zhongying Chen,Guanrong Chen
Publisher : World Scientific
Page : 360 pages
File Size : 46,9 Mb
Release : 1997-07-01
Category : Mathematics
ISBN : 9789814497695

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Approximate Solutions of Operator Equations by Mingjun Chen,Zhongying Chen,Guanrong Chen Pdf

This book offers an elementary and self-contained introduction to many fundamental issues concerning approximate solutions of operator equations formulated in an abstract Banach space setting, including important topics such as solvability, computational schemes, convergence, stability and error estimates. The operator equations under investigation include various linear and nonlinear types of ordinary and partial differential equations, integral equations, and abstract evolution equations, which are frequently involved in applied mathematics and engineering applications. Each chapter contains well-selected examples and exercises, for the purposes of demonstrating the fundamental theories and methods developed in the text and familiarizing the reader with functional analysis techniques useful for numerical solutions of various operator equations. Contents:IntroductionOperator Equations and Their Approximate Solutions (I): Compact Linear OperatorsOperator Equations and Their Approximate solutions (II): Other Linear OperatorsTopological Degrees and Fixed Point EquationsNonlinear Monotone Operator Equations and Their Approximate SolutionsOperator Evolution Equations and Their Projective Approximate Solutions Readership: Applied mathematicians, mathematical physicists, numerical analysts and electrical & mechanical engineers. keywords:Operator Evolution Equation;Nonlinear Operator Equation;Monotone Operator;Projective Approximation;Least-Squares Algorithm;Topological Degree;Fixed Point Theorem

Approximation Theory, Wavelets and Applications

S.P. Singh
Approximation Theory Wavelets and Applications Book PDF

Author : S.P. Singh
Publisher : Springer Science & Business Media
Page : 580 pages
File Size : 53,7 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401585774

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Approximation Theory, Wavelets and Applications by S.P. Singh Pdf

Approximation Theory, Wavelets and Applications draws together the latest developments in the subject, provides directions for future research, and paves the way for collaborative research. The main topics covered include constructive multivariate approximation, theory of splines, spline wavelets, polynomial and trigonometric wavelets, interpolation theory, polynomial and rational approximation. Among the scientific applications were de-noising using wavelets, including the de-noising of speech and images, and signal and digital image processing. In the area of the approximation of functions the main topics include multivariate interpolation, quasi-interpolation, polynomial approximation with weights, knot removal for scattered data, convergence theorems in Padé theory, Lyapunov theory in approximation, Neville elimination as applied to shape preserving presentation of curves, interpolating positive linear operators, interpolation from a convex subset of Hilbert space, and interpolation on the triangle and simplex. Wavelet theory is growing extremely rapidly and has applications which will interest readers in the physical, medical, engineering and social sciences.

Computational Methods And Function Theory 1997 - Proceedings Of The Third Cmft Conference

Nicolas Papamichael,Stephan Ruscheweyh,E B Saff
Computational Methods And Function Theory 1997 Proceedings Of The Third Cmft Conference Book PDF

Author : Nicolas Papamichael,Stephan Ruscheweyh,E B Saff
Publisher : World Scientific
Page : 666 pages
File Size : 51,9 Mb
Release : 1999-04-14
Category : Electronic
ISBN : 9789814544399

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Computational Methods And Function Theory 1997 - Proceedings Of The Third Cmft Conference by Nicolas Papamichael,Stephan Ruscheweyh,E B Saff Pdf

This volume contains refereed state-of-the-art research articles and extensive surveys on the various aspects of interaction of complex variables and scientific computation as well as on related areas such as function theory and approximation theory.