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Multivariate Polysplines

Multivariate Polysplines Author Ognyan Kounchev
ISBN-10 0080525008
Release 2001-06-11
Pages 498
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Multivariate polysplines are a new mathematical technique that has arisen from a synthesis of approximation theory and the theory of partial differential equations. It is an invaluable means to interpolate practical data with smooth functions. Multivariate polysplines have applications in the design of surfaces and "smoothing" that are essential in computer aided geometric design (CAGD and CAD/CAM systems), geophysics, magnetism, geodesy, geography, wavelet analysis and signal and image processing. In many cases involving practical data in these areas, polysplines are proving more effective than well-established methods, such as kKriging, radial basis functions, thin plate splines and minimum curvature. Part 1 assumes no special knowledge of partial differential equations and is intended as a graduate level introduction to the topic Part 2 develops the theory of cardinal Polysplines, which is a natural generalization of Schoenberg's beautiful one-dimensional theory of cardinal splines Part 3 constructs a wavelet analysis using cardinal Polysplines. The results parallel those found by Chui for the one-dimensional case Part 4 considers the ultimate generalization of Polysplines - on manifolds, for a wide class of higher-order elliptic operators and satisfying a Holladay variational property



Abstracts of Papers Presented to the American Mathematical Society

Abstracts of Papers Presented to the American Mathematical Society Author
ISBN-10 CORNELL:31924074890850
Release 2001
Pages
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Abstracts of Papers Presented to the American Mathematical Society has been writing in one form or another for most of life. You can find so many inspiration from Abstracts of Papers Presented to the American Mathematical Society also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Abstracts of Papers Presented to the American Mathematical Society book for free.



Bulletin de L Acad mie Serbe Des Sciences Classe Des Sciences Math matiques Et Naturelles

Bulletin de L Acad  mie Serbe Des Sciences  Classe Des Sciences Math  matiques Et Naturelles Author
ISBN-10 UCAL:$B324191
Release 2006
Pages
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Bulletin de L Acad mie Serbe Des Sciences Classe Des Sciences Math matiques Et Naturelles has been writing in one form or another for most of life. You can find so many inspiration from Bulletin de L Acad mie Serbe Des Sciences Classe Des Sciences Math matiques Et Naturelles also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Bulletin de L Acad mie Serbe Des Sciences Classe Des Sciences Math matiques Et Naturelles book for free.



Trends in Approximation Theory

Trends in Approximation Theory Author Kirill Kopotun
ISBN-10 0826513794
Release 2001
Pages 436
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Contains a carefully edited selection of papers that were presented at the Symposium on Trends in Approximation Theory, held in May 2000, and at the Oslo Conference on Mathematical Methods for Curves and Surfaces, held in July 2000. Mathematical Methods for Curves and Surfaces covers topics from abstract approximation to wavelets.



Approximation by scattered translates of the fundamental solution of the biharmonic equations on bounded domains

Approximation by scattered translates of the fundamental solution of the biharmonic equations on bounded domains Author Thomas Hangelbroek
ISBN-10 WISC:89098699093
Release 2007
Pages 116
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Propelled by the need to effectively model large, unstructured datasets, scattered data approximation has grown into one of the most active fields in Approximation Theory. Because standard approaches requiring explicit geometrical props such as grids and triangulations quickly succumb to the complexity of treating large-scale unstructured data, the theory of radial basis function (RBF) approximation, which efficiently and accurately handles data with arbitrary geometry, has grown to become a mainstream computational tool.



Comptes rendus de l Acad mie bulgare des sciences

Comptes rendus de l Acad  mie bulgare des sciences Author
ISBN-10 STANFORD:36105025907572
Release 2005
Pages
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Comptes rendus de l Acad mie bulgare des sciences has been writing in one form or another for most of life. You can find so many inspiration from Comptes rendus de l Acad mie bulgare des sciences also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Comptes rendus de l Acad mie bulgare des sciences book for free.



Subject Guide to Books in Print

Subject Guide to Books in Print Author
ISBN-10 STANFORD:36105025888517
Release 2003
Pages
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Subject Guide to Books in Print has been writing in one form or another for most of life. You can find so many inspiration from Subject Guide to Books in Print also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Subject Guide to Books in Print book for free.



Books in Print

Books in Print Author
ISBN-10 UOM:39015054048460
Release 2004
Pages
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Books in print is the major source of information on books currently published and in print in the United States. The database provides the record of forthcoming books, books in-print, and books out-of-print.



A Course in Approximation Theory

A Course in Approximation Theory Author Elliott Ward Cheney
ISBN-10 9780821847985
Release 2009-01-13
Pages 359
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This textbook is designed for graduate students in mathematics, physics, engineering, and computer science. Its purpose is to guide the reader in exploring contemporary approximation theory. The emphasis is on multi-variable approximation theory, i.e., the approximation of functions in several variables, as opposed to the classical theory of functions in one variable. Most of the topics in the book, heretofore accessible only through research papers, are treated here from the basics to the currently active research, often motivated by practical problems arising in diverse applications such as science, engineering, geophysics, and business and economics. Among these topics are projections, interpolation paradigms, positive definite functions, interpolation theorems of Schoenberg and Micchelli, tomography, artificial neural networks, wavelets, thin-plate splines, box splines, ridge functions, and convolutions. An important and valuable feature of the book is the bibliography of almost 600 items directing the reader to important books and research papers. There are 438 problems and exercises scattered through the book allowing the student reader to get a better understanding of the subject.



Practical C Sharp

Practical C Sharp Author Jack Xu
ISBN-10 9780979372506
Release 2007
Pages 551
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The book "Practical C# Charts and Graphics - Advanced Chart and Graphics Programming for Real-World .NET Applications" privides all the tools you need to create professional C# chart and graphics applications For .NET developers, creating professional charts and graphics in your C# applications is now easier than ever before. Practical C# Charts and Graphics is the perfect guide to learning all the basics for creating your advanced chart and graphics applications in C#. The book clearly explains practical chart and graphics methods and their underlying algorithms. The book contains: - Overview of GDI+ graphics capabilities and mathematical basics of computer charting and graphics - Step-by-step procedures to create a variety of 2D and 3D charts and graphics with complete ready-to-run C# code for each application - Powerful 2D and 3D chart packages and user controls that can be directly used in your C# applications or can be easily modified to create your own sophisticated chart and graphics packages. - Detailed procedures to create C# spreadsheet-like chart and graphics applications - Introductions for how to use Microsoft's Excel charts in your C# applications



Multiresolution Signal Decomposition

Multiresolution Signal Decomposition Author Paul A. Haddad
ISBN-10 9780323138369
Release 2012-12-02
Pages 376
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This book provides an in-depth, integrated, and up-to-date exposition of the topic of signal decomposition techniques. Application areas of these techniques include speech and image processing, machine vision, information engineering, High-Definition Television, and telecommunications. The book will serve as the major reference for those entering the field, instructors teaching some or all of the topics in an advanced graduate course and researchers needing to consult an authoritative source. n The first book to give a unified and coherent exposition of multiresolutional signal decomposition techniques n Classroom tested textbook clearly describes the commonalities among three key methods-transform coding, and wavelet transforms n Gives comparative performance evaluations of many proposed techniques



Mathematical Reviews

Mathematical Reviews Author
ISBN-10 UVA:X006195258
Release 2005
Pages
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Mathematical Reviews has been writing in one form or another for most of life. You can find so many inspiration from Mathematical Reviews also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Mathematical Reviews book for free.



An Introduction to Wavelets

An Introduction to Wavelets Author Charles K. Chui
ISBN-10 9781483282862
Release 2016-06-03
Pages 278
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Wavelet Analysis and its Applications, Volume 1: An Introduction to Wavelets provides an introductory treatise on wavelet analysis with an emphasis on spline-wavelets and time-frequency analysis. This book is divided into seven chapters. Chapter 1 presents a brief overview of the subject, including classification of wavelets, integral wavelet transform for time-frequency analysis, multi-resolution analysis highlighting the important properties of splines, and wavelet algorithms for decomposition and reconstruction of functions. The preliminary material on Fourier analysis and signal theory is covered in Chapters 2 and 3. Chapter 4 covers the introductory study of cardinal splines, while Chapter 5 describes a general approach to the analysis and construction of scaling functions and wavelets. Spline-wavelets are deliberated in Chapter 6. The last chapter is devoted to an investigation of orthogonal wavelets and wavelet packets. This volume serves as a textbook for an introductory one-semester course on “wavelet analysis for upper-division undergraduate or beginning graduate mathematics and engineering students.



Curves and Surfaces

Curves and Surfaces Author Jean-Daniel Boissonnat
ISBN-10 9783319228044
Release 2015-08-13
Pages 492
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This volume constitutes the thoroughly refereed post-conference proceedings of the 8th International Conference on Curves and Surfaces, held in Paris, France, in June 2014. The conference had the overall theme: "Representation and Approximation of Curves and Surfaces and Applications". The 32 revised full papers presented were carefully reviewed and selected from 39 submissions. The scope of the conference was on following topics: approximation theory, computer-aided geometric design, computer graphics and visualization, computational geometry and topology, geometry processing, image and signal processing, interpolation and smoothing, mesh generation, finite elements and splines, scattered data processing and learning theory, sparse and high-dimensional approximation, subdivision, wavelets and multi-resolution method.



Numerical Analysis

Numerical Analysis Author David Ronald Kincaid
ISBN-10 9780821847886
Release 2002
Pages 788
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This book introduces students with diverse backgrounds to various types of mathematical analysis that are commonly needed in scientific computing. The subject of numerical analysis is treated from a mathematical point of view, offering a complete analysis of methods for scientific computing with appropriate motivations and careful proofs. In an engaging and informal style, the authors demonstrate that many computational procedures and intriguing questions of computer science arise from theorems and proofs. Algorithms are presented in pseudocode, so that students can immediately write computer programs in standard languages or use interactive mathematical software packages. This book occasionally touches upon more advanced topics that are not usually contained in standard textbooks at this level.



Wavelets

Wavelets Author Stéphane Jaffard
ISBN-10 0898718112
Release 2001
Pages 256
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This long-awaited update of Meyer's Wavelets : algorithms and applications includes completely new chapters on four topics: wavelets and the study of turbulence, wavelets and fractals (which includes an analysis of Riemann's nondifferentiable function), data compression, and wavelets in astronomy. The chapter on data compression was the original motivation for this revised edition, and it contains up-to-date information on the interplay between wavelets and nonlinear approximation. The other chapters have been rewritten with comments, references, historical notes, and new material. Four appendices have been added: a primer on filters, key results (with proofs) about the wavelet transform, a complete discussion of a counterexample to the Marr-Mallat conjecture on zero-crossings, and a brief introduction to Hölder and Besov spaces. In addition, all of the figures have been redrawn, and the references have been expanded to a comprehensive list of over 260 entries. The book includes several new results that have not appeared elsewhere.



Finite Element Methods with B Splines

Finite Element Methods with B Splines Author Klaus Hollig
ISBN-10 9780898716993
Release 2012-12-13
Pages 156
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An exploration of the new weighted approximation techniques which result from the combination of the finite element method and B-splines.