Multiresolution Methods in Scattered Data Modelling
Iske, Armin; Arnold, V.I.
ISBN 10: 3540204792 ISBN 13: 9783540204794
Editore: Springer, 2004
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Codice articolo ABLIING23Mar3113020162544
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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. The resulting multiresolution methods are thinning algorithms, multilevel approximation schemes, and meshfree discretizations for transport equations. The utility of the algorithmic approach taken in this research is supported by the wide range of applications, including image compression, hierarchical surface 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.
Contenuti: Introduction: Scattered Data Modelling, Multiresolution Methods, Multilevel Methods, Adaptive Irregular Sampling.- Algorithms and Data Structures: Triangulation Methods, Delaunay Triangulations, Voronoi Diagrams, Data-Dependent Triangulations, Heaps and Priority Queues, Quadtrees.- Radial Basis Functions: Interpolation, Conditionally Positive Definite Functions, Optimal Recovery, Pointwise Optimality, Error Estimates, Numerical Stability, Uncertainty Principle, Polyharmonic Splines, Optimal Point Sampling, Least Squares Approximation.- Thinning Algorithms: Preliminary Remarks, Generic Formulation, Non-Adaptive Thinning, Scattered Data Filtering, Adaptive Thinning, Adaptive Thinning in Digital Image Compression.- Multilevel Approximation Schemes: Generic Formulation, Multilevel Interpolation, Adaptive Multilevel Approximation, Hierarchical Surface Visualization.- Meshfree Methods for Transport Equations: Transport Equations, Meshfree Method of Backward Characteristics, Adaption Rules, Multiscale Flow Simulation.
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Titolo: Multiresolution Methods in Scattered Data ...
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Data di pubblicazione: 2004
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Hardcover. Condizione: Très bon. Ancien livre de bibliothèque. Edition 2004. Tome 37. Ammareal reverse jusqu'à 15% du prix net de cet article à des organisations caritatives. ENGLISH DESCRIPTION Book Condition: Used, Very good. Former library book. Edition 2004. Volume 37. Ammareal gives back up to 15% of this item's net price to charity organizations. Codice articolo E-867-727
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Multiresolution Methods in Scattered Data Modelling
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Springer Berlin Heidelberg, 2004
ISBN 10: 3540204792
ISBN 13: 9783540204794
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Kartoniert / Broschiert. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes supplementary material: sn.pub/extrasThis 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 scatte. Codice articolo 4884656
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Taschenbuch. Condizione: Neu. Multiresolution Methods in Scattered Data Modelling | Armin Iske | Taschenbuch | xii | Englisch | 2004 | Springer-Verlag GmbH | EAN 9783540204794 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Codice articolo 102481355
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Taschenbuch. Condizione: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 204 pp. Englisch. Codice articolo 9783540204794
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Multiresolution Methods in Scattered Data Modelling
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ISBN 10: 3540204792
ISBN 13: 9783540204794
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 204 pp. Englisch. Codice articolo 9783540204794
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Multiresolution Methods in Scattered Data Modelling
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Springer Berlin Heidelberg, 2004
ISBN 10: 3540204792
ISBN 13: 9783540204794
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Taschenbuch. Condizione: Neu. 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. Codice articolo 9783540204794
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