Multiresolution methods in scattered data modelling:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
2002
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | München, Techn. Univ., Habil.-Schr., 2002 |
| Beschreibung: | VIII, 143 S. Ill., graph. Darst. |
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Datensatz im Suchindex
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TABLE OF CONTENTS
1 INTRODUCTION. 1
1.1 SCATTERED DATA MODELLING . 1
1.2 MULTIRESOLUTION METHODS . 3
1.3 MULTILEVEL METHODS. 5
1.4 ADAPTIVE IRREGULAR SAMPLING. 6
2 ALGORITHMS AND DATA STRUCTURES. 7
2.1 TRIANGULATION METHODS. 7
2.2 DELAUNAY TRIANGULATIONS. 9
2.3 VORONOI DIAGRAMS. 13
2.4 DATA-DEPENDENT TRIANGULATIONS. 15
2.5 HEAPS AND PRIORITY QUEUES . 20
2.5.1 MAINTAINING THE HEAP PROPERTY . 22
2.5.2 BUILDING A HEAP. 22
2.5.3 HEAPSORT. 23
2.5.4 IMPLEMENTING A PRIORITY QUEUE. 24
2.6 QUADTREES. 26
2.6.1 GENERALIZATIONS TO HIGHER DIMENSIONS. 29
3 RADIAL BASIS FUNCTIONS. 31
3.1 INTERPOLATION. 32
3.2 OPTIMAL RECOVERY. 35
3.3 POINTWISE OPTIMALITY . 38
3.4 ERROR ESTIMATES. 41
3.5 NUMERICAL STABILITY. 42
3.6 UNCERTAINTY PRINCIPLE. 43
3.7 POLY HARMONIC SPLINES. 44
3.7.1 GLOBAL APPROXIMATION ORDER . 46
3.7.2 LOCAL APPROXIMATION ORDER. 46
3.7.3 NUMERICAL STABILITY OF LOCAL INTERPOLATION . 51
3.8 OPTIMAL POINT SAMPLING. 52
3.9 LEAST SQUARES APPROXIMATION. 55
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/966140109
VIJI TABLE OF CONTENTS
4 THINNING ALGORITHMS . 59
4.1 PRELIMINARY REMARKS . 60
4.2 GENERIC FORMULATION. 61
4.3 NON-ADAPTIVE THINNING . 62
4.3.1 THE FC-CENTER PROBLEM. 62
4.3.2 ADAPTIVE BOUNDS ON THE COVERING RADII. 64
4.3.3 GREEDY THINNING . 65
4.3.4 LOCALIZATION OF OPTIMAL SUBSETS. 67
4.3.5 IMPLEMENTATION OF GREEDY THINNING. 68
4.4 SCATTERED DATA FILTERING. 70
4.4.1 EXCHANGE. 70
4.4.2 CHARACTERIZATION OF EXCHANGEABLE POINT PAIRS. 71
4.4.3 IMPLEMENTATION OF THE EXCHANGE ALGORITHM . 74
4.4.4 NUMERICAL EXAMPLES. 75
4.5 ADAPTIVE THINNING . 77
4.5.1 ANTICIPATED ERROR. 78
4.5.2 ADAPTIVE THINNING ON CONVEX DATA. 80
4.5.3 IMPLEMENTATION OF ADAPTIVE THINNING . 82
4.5.4 ALTERNATIVE ADAPTIVE THINNING ALGORITHMS. 83
4.5.5 NUMERICAL EXAMPLES. 84
4.6 ADAPTIVE THINNING IN DIGITAL IMAGE COMPRESSION. 87
4.6.1 DIGITAL IMAGE COMPRESSION. 87
4.6.2 LENA - A POPULAR TEST CASE IN IMAGE PROCESSING . 89
4.6.3 CODING. 91
5 MULTILEVEL APPROXIMATION SCHEMES. 97
5.1 GENERIC FORMULATION. 98
5.2 MULTILEVEL INTERPOLATION. 99
5.3 ADAPTIVE MULTILEVEL APPROXIMATION.102
5.3.1 ADAPTIVE DOMAIN DECOMPOSITION.103
5.4 HIERARCHICAL SURFACE VISUALIZATION .105
5.4.1 HURRUNGANE - A TEST CASE FROM TERRAIN MODELLING . . 106
5.4.2 NUMERICAL RESULTS AND COMPARISONS.106
6 MESHFREE METHODS FOR TRANSPORT EQUATIONS.ILL
6.1 TRANSPORT EQUATIONS.112
6.2 MESHFREE METHOD OF BACKWARD CHARACTERISTICS.114
6.3 ADAPTION RULES .117
6.4 FLUID FLOW SIMULATION .120
6.4.1 TRACER ADVECTION OVER THE ARCTIC.120
6.4.2 BURGERS EQUATION - A NONLINEAR STANDARD TEST .123
6.4.3 TWO-PHASE FLOW IN A POROUS MEDIUM.126
REFERENCES
131 |
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| author | Iske, Armin |
| author_facet | Iske, Armin |
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| bvnumber | BV015680966 |
| classification_rvk | SK 900 |
| classification_tum | MAT 652d MAT 410d |
| ctrlnum | (OCoLC)634780600 (DE-599)BVBBV015680966 |
| discipline | Mathematik |
| format | Book |
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| physical | VIII, 143 S. Ill., graph. Darst. |
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| spelling | Iske, Armin Verfasser aut Multiresolution methods in scattered data modelling Armin Iske 2002 VIII, 143 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier München, Techn. Univ., Habil.-Schr., 2002 Approximation (DE-588)4002498-2 gnd rswk-swf Datenmodell (DE-588)4192516-6 gnd rswk-swf Triangulation (DE-588)4186017-2 gnd rswk-swf Mehrskalenanalyse (DE-588)4416235-2 gnd rswk-swf Radiale Basisfunktion (DE-588)4380647-8 gnd rswk-swf Verdünnung Bildverarbeitung (DE-588)4389324-7 gnd rswk-swf Algorithmus (DE-588)4001183-5 gnd rswk-swf Scattered-Data-Interpolation (DE-588)4723172-5 gnd rswk-swf (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 DE-604 Scattered-Data-Interpolation (DE-588)4723172-5 s Verdünnung Bildverarbeitung (DE-588)4389324-7 s Triangulation (DE-588)4186017-2 s Radiale Basisfunktion (DE-588)4380647-8 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010119697&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Iske, Armin Multiresolution methods in scattered data modelling Approximation (DE-588)4002498-2 gnd Datenmodell (DE-588)4192516-6 gnd Triangulation (DE-588)4186017-2 gnd Mehrskalenanalyse (DE-588)4416235-2 gnd Radiale Basisfunktion (DE-588)4380647-8 gnd Verdünnung Bildverarbeitung (DE-588)4389324-7 gnd Algorithmus (DE-588)4001183-5 gnd Scattered-Data-Interpolation (DE-588)4723172-5 gnd |
| subject_GND | (DE-588)4002498-2 (DE-588)4192516-6 (DE-588)4186017-2 (DE-588)4416235-2 (DE-588)4380647-8 (DE-588)4389324-7 (DE-588)4001183-5 (DE-588)4723172-5 (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 Armin Iske |
| title_fullStr | Multiresolution methods in scattered data modelling Armin Iske |
| title_full_unstemmed | Multiresolution methods in scattered data modelling Armin Iske |
| title_short | Multiresolution methods in scattered data modelling |
| title_sort | multiresolution methods in scattered data modelling |
| topic | Approximation (DE-588)4002498-2 gnd Datenmodell (DE-588)4192516-6 gnd Triangulation (DE-588)4186017-2 gnd Mehrskalenanalyse (DE-588)4416235-2 gnd Radiale Basisfunktion (DE-588)4380647-8 gnd Verdünnung Bildverarbeitung (DE-588)4389324-7 gnd Algorithmus (DE-588)4001183-5 gnd Scattered-Data-Interpolation (DE-588)4723172-5 gnd |
| topic_facet | Approximation Datenmodell Triangulation Mehrskalenanalyse Radiale Basisfunktion Verdünnung Bildverarbeitung Algorithmus Scattered-Data-Interpolation Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010119697&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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