Multivariate Polysplines

Multivariate Polysplines

Author: Ognyan Kounchev

Publisher: Academic Press

Published: 2001-06-11

Total Pages: 513

ISBN-13: 0080525008

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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


Author:

Publisher: IOS Press

Published:

Total Pages: 10439

ISBN-13:

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Cooperative Design, Visualization, and Engineering

Cooperative Design, Visualization, and Engineering

Author: Yuhua Luo

Publisher: Springer

Published: 2016-10-13

Total Pages: 409

ISBN-13: 3319467719

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This book constitutes the refereed proceedings of the 13th InternationalConference on Cooperative Design, Visualization, and Engineering, CDVE2016, held in Sydney, NSW, Australia, in October 2016. The 42 full papers and 9 short papers presented were carefully reviewed and selected from 89 submissions. The papers cover a broad range of topics in the field of cooperative visualization, visual analytics, cooperative engineering, and cooperative design and applications.


Curves and Surfaces

Curves and Surfaces

Author: Jean-Daniel Boissonnat

Publisher: Springer

Published: 2015-08-13

Total Pages: 502

ISBN-13: 3319228048

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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.


Trends in Approximation Theory

Trends in Approximation Theory

Author: Kirill Kopotun

Publisher:

Published: 2001

Total Pages: 456

ISBN-13:

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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.


Complex Analysis and Dynamical Systems III

Complex Analysis and Dynamical Systems III

Author: Mark Lʹvovich Agranovskiĭ

Publisher: American Mathematical Soc.

Published: 2008

Total Pages: 482

ISBN-13: 0821841505

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The papers in this volume cover a wide variety of topics in the geometric theory of functions of one and several complex variables, including univalent functions, conformal and quasiconformal mappings, minimal surfaces, and dynamics in infinite-dimensional spaces. In addition, there are several articles dealing with various aspects of approximation theory and partial differential equations. Taken together, the articles collected here provide the reader with a panorama of activity in complex analysis, drawn by a number of leading figures in the field.