Multiresolution Methods in Scattered Data Modelling

Language: English

Published by Springer, 2004

3540204792 / 9783540204794

Series: Book 15 of 111 - Lecture Notes in Computational Science and Engineering

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - This application-oriented work concerns the design of efficient, robust and reliable algorithms for the numerical simulation of multiscale phenomena. To this end, various modern techniques from scattered data modelling, such as splines over triangulations and radial basis functions, are combined with customized adaptive strategies, which are developed individually in this work. The resulting multiresolution methods include thinning algorithms, multi levelapproximation schemes, and meshfree discretizations for transport equa tions. The utility of the proposed computational methods is supported by their wide range of applications, such as image compression, hierarchical sur face visualization, and multiscale flow simulation. Special emphasis is placed on comparisons between the various numerical algorithms developed in this work and comparable state-of-the-art methods. To this end, extensive numerical examples, mainly arising from real-world applications, are provided. This research monograph is arranged in six chapters: 1. Introduction; 2. Algorithms and Data Structures; 3. Radial Basis Functions; 4. Thinning Algorithms; 5. Multilevel Approximation Schemes; 6. Meshfree Methods for Transport Equations. Chapter 1 provides a preliminary discussion on basic concepts, tools and principles of multiresolution methods, scattered data modelling, multilevel methods and adaptive irregular sampling. Relevant algorithms and data structures, such as triangulation methods, heaps, and quadtrees, are then introduced in Chapter 2.…

Seller Inventory # 9783540204794

Title
Multiresolution Methods in Scattered Data Modelling
Author
Armin Iske
Publisher
Springer
Publication year
2004
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3540204792
ISBN 13
9783540204794
Item weight
318 grams
Dimensions
235x155x12 mm
Series
Book 15 of 111: Lecture Notes in Computational Science and Engineering

AHA-BUCH GmbH

Einbeck, Germany

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