Multiresolution Methods in Scattered Data Modelling:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2004
|
| Schriftenreihe: | Lecture Notes in Computational Science and Engineering
37 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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, multilevel-approximation schemes, and meshfree discretizations for transport equations. The utility of the proposed computational methods is supported by their wide range of applications, such as 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. 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 |
| Beschreibung: | 1 Online-Ressource (XII, 182p) |
| ISBN: | 9783642187544 9783540204794 |
| ISSN: | 1439-7358 |
| DOI: | 10.1007/978-3-642-18754-4 |
Internformat
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| 500 | |a 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, multilevel-approximation schemes, and meshfree discretizations for transport equations. The utility of the proposed computational methods is supported by their wide range of applications, such as 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. 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 | ||
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Datensatz im Suchindex
| _version_ | 1804153096979349504 |
|---|---|
| any_adam_object | |
| author | Iske, Armin |
| author_facet | Iske, Armin |
| author_role | aut |
| author_sort | Iske, Armin |
| author_variant | a i ai |
| building | Verbundindex |
| bvnumber | BV042422474 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)725120550 (DE-599)BVBBV042422474 |
| dewey-full | 518 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
| dewey-raw | 518 |
| dewey-search | 518 |
| dewey-sort | 3518 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-18754-4 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:21:11Z |
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| isbn | 9783642187544 9783540204794 |
| issn | 1439-7358 |
| language | English |
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| series | Lecture Notes in Computational Science and Engineering |
| series2 | Lecture Notes in Computational Science and Engineering |
| spelling | Iske, Armin Verfasser aut Multiresolution Methods in Scattered Data Modelling by Armin Iske Berlin, Heidelberg Springer Berlin Heidelberg 2004 1 Online-Ressource (XII, 182p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Computational Science and Engineering 37 1439-7358 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, multilevel-approximation schemes, and meshfree discretizations for transport equations. The utility of the proposed computational methods is supported by their wide range of applications, such as 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. 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 Mathematics Differential equations, partial Computer science / Mathematics Computer science Visualization Computational Mathematics and Numerical Analysis Computational Science and Engineering Partial Differential Equations Informatik Mathematik Mehrskalenanalyse (DE-588)4416235-2 gnd rswk-swf Radiale Basisfunktion (DE-588)4380647-8 gnd rswk-swf Scattered-Data-Interpolation (DE-588)4723172-5 gnd rswk-swf Algorithmus (DE-588)4001183-5 gnd rswk-swf Approximation (DE-588)4002498-2 gnd rswk-swf Triangulation (DE-588)4186017-2 gnd rswk-swf Datenmodell (DE-588)4192516-6 gnd rswk-swf Verdünnung Bildverarbeitung (DE-588)4389324-7 gnd rswk-swf 1\p (DE-588)4113937-9 Hochschulschrift gnd-content Datenmodell (DE-588)4192516-6 s Approximation (DE-588)4002498-2 s Algorithmus (DE-588)4001183-5 s Mehrskalenanalyse (DE-588)4416235-2 s 2\p DE-604 Triangulation (DE-588)4186017-2 s 3\p DE-604 Verdünnung Bildverarbeitung (DE-588)4389324-7 s 4\p DE-604 Scattered-Data-Interpolation (DE-588)4723172-5 s 5\p DE-604 Radiale Basisfunktion (DE-588)4380647-8 s 6\p DE-604 Lecture Notes in Computational Science and Engineering 37 (DE-604)BV011386476 37 https://doi.org/10.1007/978-3-642-18754-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 6\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Iske, Armin Multiresolution Methods in Scattered Data Modelling Lecture Notes in Computational Science and Engineering Mathematics Differential equations, partial Computer science / Mathematics Computer science Visualization Computational Mathematics and Numerical Analysis Computational Science and Engineering Partial Differential Equations Informatik Mathematik Mehrskalenanalyse (DE-588)4416235-2 gnd Radiale Basisfunktion (DE-588)4380647-8 gnd Scattered-Data-Interpolation (DE-588)4723172-5 gnd Algorithmus (DE-588)4001183-5 gnd Approximation (DE-588)4002498-2 gnd Triangulation (DE-588)4186017-2 gnd Datenmodell (DE-588)4192516-6 gnd Verdünnung Bildverarbeitung (DE-588)4389324-7 gnd |
| subject_GND | (DE-588)4416235-2 (DE-588)4380647-8 (DE-588)4723172-5 (DE-588)4001183-5 (DE-588)4002498-2 (DE-588)4186017-2 (DE-588)4192516-6 (DE-588)4389324-7 (DE-588)4113937-9 |
| title | Multiresolution Methods in Scattered Data Modelling |
| title_auth | Multiresolution Methods in Scattered Data Modelling |
| title_exact_search | Multiresolution Methods in Scattered Data Modelling |
| title_full | Multiresolution Methods in Scattered Data Modelling by Armin Iske |
| title_fullStr | Multiresolution Methods in Scattered Data Modelling by Armin Iske |
| title_full_unstemmed | Multiresolution Methods in Scattered Data Modelling by Armin Iske |
| title_short | Multiresolution Methods in Scattered Data Modelling |
| title_sort | multiresolution methods in scattered data modelling |
| topic | Mathematics Differential equations, partial Computer science / Mathematics Computer science Visualization Computational Mathematics and Numerical Analysis Computational Science and Engineering Partial Differential Equations Informatik Mathematik Mehrskalenanalyse (DE-588)4416235-2 gnd Radiale Basisfunktion (DE-588)4380647-8 gnd Scattered-Data-Interpolation (DE-588)4723172-5 gnd Algorithmus (DE-588)4001183-5 gnd Approximation (DE-588)4002498-2 gnd Triangulation (DE-588)4186017-2 gnd Datenmodell (DE-588)4192516-6 gnd Verdünnung Bildverarbeitung (DE-588)4389324-7 gnd |
| topic_facet | Mathematics Differential equations, partial Computer science / Mathematics Computer science Visualization Computational Mathematics and Numerical Analysis Computational Science and Engineering Partial Differential Equations Informatik Mathematik Mehrskalenanalyse Radiale Basisfunktion Scattered-Data-Interpolation Algorithmus Approximation Triangulation Datenmodell Verdünnung Bildverarbeitung Hochschulschrift |
| url | https://doi.org/10.1007/978-3-642-18754-4 |
| volume_link | (DE-604)BV011386476 |
| work_keys_str_mv | AT iskearmin multiresolutionmethodsinscattereddatamodelling |