Modeling with ambient b-splines: Ambient B-splines: Theorie und Modellierung
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| Format: | Thesis Book |
| Language: | English |
| Published: |
Berlin
Logos-Verlag
[2013]
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| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | 121 Seiten Illustrationen, Diagramme 21 cm |
| ISBN: | 9783832536022 3832536027 |
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CONTENTS
CONTENTS 1
ABSTRACT 3
ZUSAMMENFASSUNG 5
1 INTRODUCTION 7
2 RELATED WORK 11
2.1 SURFACE MODELING 11
2.1.1 SIMPLICIAL SURFACES 11
2.1.2 PARAMETRIC SURFACES 12
2.1.3 IMPLICIT SURFACES 15
2.2 APPROXIMATION OF FUNCTIONS ON MANIFOLDS 16
3 THE AMBIENT B-SPLINE METHOD 17
3.1 BASIC CONCEPT 17
3.2 APPROXIMATION POWER 20
4 REALIZATION OF THE AMBIENT B-SPLINE METHOD 25
4.1 PRELIMINARIES 25
4.1.1 B-SPLINES 25
4.1.2 DUAL FUNCTIONAL AND QUASI-INTERPOLANTS 28
4.2 IMPLEMENTATION 30
4.3 EXAMPLES 38
4.3.1 GEOID 39
4.3.2 STANFORD BUNNY 43
4.3.3 COW MODEL 49
5 HIERARCHICAL APPROXIMATION 53
5.1 HIERARCHICAL GRIDS AND B-SPLINES 53
5.2 APPROXIMATION BY HIERARCHICAL OVERLAYS 54
1
HTTP://D-NB.INFO/1046237012
5.3 APPROXIMATION BY LINEARLY INDEPENDENT HIERARCHICAL B-SPLINES 56
5.3.1 HIERARCHICAL QUASI-INTERPOLANT 67
5.3.2 STABILITY 70
5.3.3 IMPLEMENTATION ASPECTS OF HIERARCHICAL B-SPLINES 72
6 REVISED EXAMPLES USING ADAPTIVE REFINEMENT 75
6.1 GEOID 75
6.2 STANFORD BUNNY 80
6.3 COW MODEL 80
7 CURVATURE ANALYSIS 87
7.1 INTRODUCTION 87
7.2 THE GENERALIZED CURVATURE TENSOR 88
7.3 THREE DIFFERENT SETUPS 90
7.3.1 PARAMETRIZED SURFACES 90
7.3.2 IMPLICIT SURFACES 93
7.3.3 SPACE DEFORMATION 95
7.4 EXAMPLES 99
7.4.1 STANFORD BUNNY AND COW MODEL 99
7.4.2 ROUNDED CUBE 100
8 FURTHER ISSUES 105
8.1 PARAMETER CORRECTION 105
8.2 BOOTSTRAPPING 107
9 CONCLUSION AND OUTLOOK 109
BIBLIOGRAPHY 113 |
| any_adam_object | 1 |
| author | Lehmann, Nicole |
| author_GND | (DE-588)1312345020 |
| author_facet | Lehmann, Nicole |
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| dewey-full | 516.00285 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.00285 |
| dewey-search | 516.00285 |
| dewey-sort | 3516.00285 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Thesis Book |
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| isbn | 9783832536022 3832536027 |
| language | English |
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| spelling | Lehmann, Nicole (DE-588)1312345020 aut Modeling with ambient b-splines Ambient B-splines: Theorie und Modellierung von Nicole Lehmann Berlin Logos-Verlag [2013] © 2013 121 Seiten Illustrationen, Diagramme 21 cm txt rdacontent n rdamedia nc rdacarrier Dissertation Technische Universität Darmstadt 2013 Freiformfläche (DE-588)4198736-6 gnd rswk-swf Spline-Approximation (DE-588)4182394-1 gnd rswk-swf B-Spline (DE-588)4384798-5 gnd rswk-swf Geometrische Modellierung (DE-588)4156717-1 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content B-Spline (DE-588)4384798-5 s Spline-Approximation (DE-588)4182394-1 s Geometrische Modellierung (DE-588)4156717-1 s Freiformfläche (DE-588)4198736-6 s DE-604 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4565287&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027395081&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lehmann, Nicole Modeling with ambient b-splines Ambient B-splines: Theorie und Modellierung Freiformfläche (DE-588)4198736-6 gnd Spline-Approximation (DE-588)4182394-1 gnd B-Spline (DE-588)4384798-5 gnd Geometrische Modellierung (DE-588)4156717-1 gnd |
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| title | Modeling with ambient b-splines Ambient B-splines: Theorie und Modellierung |
| title_auth | Modeling with ambient b-splines Ambient B-splines: Theorie und Modellierung |
| title_exact_search | Modeling with ambient b-splines Ambient B-splines: Theorie und Modellierung |
| title_full | Modeling with ambient b-splines Ambient B-splines: Theorie und Modellierung von Nicole Lehmann |
| title_fullStr | Modeling with ambient b-splines Ambient B-splines: Theorie und Modellierung von Nicole Lehmann |
| title_full_unstemmed | Modeling with ambient b-splines Ambient B-splines: Theorie und Modellierung von Nicole Lehmann |
| title_short | Modeling with ambient b-splines |
| title_sort | modeling with ambient b splines ambient b splines theorie und modellierung |
| title_sub | Ambient B-splines: Theorie und Modellierung |
| topic | Freiformfläche (DE-588)4198736-6 gnd Spline-Approximation (DE-588)4182394-1 gnd B-Spline (DE-588)4384798-5 gnd Geometrische Modellierung (DE-588)4156717-1 gnd |
| topic_facet | Freiformfläche Spline-Approximation B-Spline Geometrische Modellierung Hochschulschrift |
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