Multivariate Approximation Theory IV

Multivariate Approximation Theory IV
Author: CHUI
Publisher: Birkhäuser
Total Pages: 348
Release: 2013-03-08
Genre: Science
ISBN: 3034872984

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.

Multivariate Approximation Theory

Multivariate Approximation Theory
Author: E. W. Cheney
Publisher: SIAM
Total Pages: 74
Release: 1986-10-01
Genre: Mathematics
ISBN: 0898712076

This monograph deals with the development of algorithms or the derivation of approximations from linear projections.

Recent Progress in Multivariate Approximation

Recent Progress in Multivariate Approximation
Author: Werner Haussmann
Publisher: Birkhäuser
Total Pages: 258
Release: 2012-12-06
Genre: Mathematics
ISBN: 3034882726

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.

Topics in Multivariate Approximation

Topics in Multivariate Approximation
Author: C. K. Chui
Publisher: Elsevier
Total Pages: 346
Release: 2014-05-10
Genre: Mathematics
ISBN: 1483271005

Topics in Multivariate Approximation contains the proceedings of an international workshop on multivariate approximation held at the University of Chile in Santiago, Chile, on December 15-19, 1986. Leading researchers in the field discussed several problem areas related to multivariate approximation and tackled topics ranging from multivariate splines and fitting of scattered data to tensor approximation methods and multivariate polynomial approximation. Numerical grid generation and finite element methods were also explored, along with constrained interpolation and smoothing. Comprised of 22 chapters, this book first describes the application of Boolean methods of approximation in combination with the theory of right invertible operators to bivariate Fourier expansions. The reader is then introduced to ill-posed problems in multivariate approximation; interpolation of scattered data by radial functions; and shape-preserving surface interpolation. Subsequent chapters focus on approximation by harmonic functions; numerical generation of nested series of general triangular grids; triangulation methods; and inequalities arising from best local approximations in rectangles. A bibliography of multivariate approximation concludes the book. This monograph will be of interest to mathematicians.

Multivariate Approximation and Applications

Multivariate Approximation and Applications
Author: N. Dyn
Publisher: Cambridge University Press
Total Pages: 300
Release: 2001-05-17
Genre: Mathematics
ISBN: 0521800234

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.

Multivariate Approximation

Multivariate Approximation
Author: Werner Haussmann
Publisher: De Gruyter Akademie Forschung
Total Pages: 328
Release: 1997
Genre: Mathematics
ISBN:

This is the third edition of the leading practitioner's work on freedom of information. Designed to provide in-depth legal analysis and practical guidance, this book has become the first port of call for anyone either seeking or handling requests for official information. The latest edition maintains its authorship of expert lawyers. The two years since the previous edition have seen numerous important decisions from the courts and from the Information Tribunal on freedom of information law. The learning from all these has been incorporated into the text, enabling a practitioner to see immediately all relevant cases and the principles that emerge from them.The book is logically organised so that the practitioner can quickly find the topic of choice. The work commences with an historical analysis that sets out the object of the legislation and its relationship with other aspects of public law. Full references to Hansard and other Parliamentary materials is provided. This is followed by a summary of the regime in five comparative jurisdictions, providing a useful testbed for anticipated effects of disclosure and a normative yardstick. The impact of the Human Rights Act 1998 is given separate consideration. Next follows a series of chapters dealing with rights of access under provisions apart from the FOI Act: access to information held by EU bodies; access to information under the Data Protection Act; access to information under the Environmental Information Regulations; public records; and access under numerous other provisions in legislation. Together, these provide the practitioner with sources of access that might otherwise be overlooked. All are arranged thematically.The book then considers practical aspects of information requests: the persons who may make them; the bodies to whom they may be made; the time allowed for responding; the modes of response; fees and vexatious requests; the duty to advise and assist; the codes of practice; government guidance and its status; transferring of requests; third party consultation.The next 13 chapters, comprising over half the book, are devoted to exemptions. These start with two important chapters dealing with general principles, including the notions of "prejudice" and the "public interest." The arrangement of these chapters reflects the arrangement of the FOI Act, but the text is careful to include analogous references to the Environmental Information Regulations and the Data Protection Act 1998. With each chapter, the exemption is carefully analysed, starting with its Parliamentary history (giving full references to Hansard and other Parliamentary material) and the treatment given in the comparative jurisdictions. The analysis then turns to consider all court judgments and tribunal decisions dealing with the exemption. The principles are stated in the text, with footnotes giving all available references. Whether to prepare a case or to prepare a response to a request, these chapters allow the practitioner to get on top of the exemption rapidly and authoritatively.The book concludes with three chapters setting out the role of the Information Commissioner and the Tribunal, appeals and enforcement. The chapter on appeals allows the practitioner to be familiar with the processes followed in the tribunal, picking up on the jurisprudence as it has emerged over the last five or so years.Appendices include: precedent requests for information; a step-by-step guide to responding to a request; comparative tables; and a table of the FOI Act's Parliamentary history. Finally, the book includes an annotated copy of the FOIA Act, the Data Protection Act 1998, the Environmental Information Regulations 2004, all subordinate legislation made under them, EU legislation, Tribunal rules and practice directions, and the Codes of Practice.Throughout the book, full web references are given (including to all cases), facilitating ready access to primary material.From the reviews of previous editions:"The depth of analysis and thought that Philip Coppel brings to the topic is evident throughout....Careful analysis is a hallmark of the book which reflects, not merely an academic interest in the legal regime but a real and active interest in the wider societal issues involved in the development of the law in this area.... The text delivers excellent value for anyone working seriously in this area." - Rosemary Jay in Freedom of Information Journal"Encyclopaedic and authoritative...a very useful guide to practitioners as well as those seeking official information" - New Law Journal"This is not just a book for the library it is also a book to be held close at hand on any practitioner's desk, or in any public authority boardroom - the hope expressed by Coppel that his book will assist in resolving [FOI Act] complexities and in revealing its subtleties is realised in a well composed and intelligently written volume." - Solicitors Journal"...The best single resource in this area of the law.... Any practitioner who needs to consider information rights owes a considerable debt of thanks to Philip Coppel and his fellow authors." - Jonathan Crow QC in Public Law"This is an outstanding piece of legal scholarship, which will provide invaluable assistance to practitioners interested in information rights whether they be based in the United Kingdom or in comparable overseas jurisdictions." - John Griffiths SC in Australian Journal of Administrative Law

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

Multivariate Approximation : From Cagd To Wavelets - Proceedings Of The International Workshop
Author: Kurt Jetter
Publisher: World Scientific
Total Pages: 349
Release: 1993-11-30
Genre:
ISBN: 9814602523

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.

Topics in Multivariate Approximation and Interpolation

Topics in Multivariate Approximation and Interpolation
Author: Kurt Jetter
Publisher: Elsevier
Total Pages: 357
Release: 2005-11-15
Genre: Mathematics
ISBN: 0080462049

This book is a collection of eleven articles, written by leading experts and dealing with special topics in Multivariate Approximation and Interpolation. The material discussed here has far-reaching applications in many areas of Applied Mathematics, such as in Computer Aided Geometric Design, in Mathematical Modelling, in Signal and Image Processing and in Machine Learning, to mention a few. The book aims at giving a comprehensive information leading the reader from the fundamental notions and results of each field to the forefront of research. It is an ideal and up-to-date introduction for graduate students specializing in these topics, and for researchers in universities and in industry. - A collection of articles of highest scientific standard - An excellent introduction and overview of recent topics from multivariate approximation - A valuable source of references for specialists in the field - A representation of the state-of-the-art in selected areas of multivariate approximation - A rigorous mathematical introduction to special topics of interdisciplinary research