Low distortion surface parameterization:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
2013
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| Schlagworte: | |
| Online-Zugang: | kostenfrei Inhaltsverzeichnis |
| Beschreibung: | Nebentitel: Verzerrungsarme Flächenparametrisierung |
| Beschreibung: | 102 S. Ill., graph. Darst. |
Internformat
MARC
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| 245 | 1 | 0 | |a Low distortion surface parameterization |c vorgelegt von Felix Kälberer |
| 246 | 1 | 3 | |a Verzerrungsarme Flächenparametrisierung |
| 264 | 1 | |c 2013 | |
| 300 | |a 102 S. |b Ill., graph. Darst. | ||
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| 500 | |a Nebentitel: Verzerrungsarme Flächenparametrisierung | ||
| 502 | |a Berlin, Freie Univ., Diss., 2013 | ||
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Datensatz im Suchindex
| _version_ | 1804151638538059776 |
|---|---|
| adam_text | CONTENTS
INTRODUCTION 7
1 FOUNDATIONS 11
1.1 PIECEWISE LINEAR SURFACES 11
1.1.1 ABSTRACT SIMPLICIAL COMPLEXES ... . . 12
1.1.2 SIMPLICIAL SURFACES 13
1.2 FINITE ELEMENT SPACES 17
1.2.1 DIRICHLET ENERGY AND THE LAPLACE OPERATOR 19
1.2.2 DIVERGENCE AND CURL 21
1.2.3 DISCRETE HODGE DECOMPOSITION 23
1.2.4 COMPUTATION OF THE HODGE DECOMPOSITION . 24
1.2.5 BASES OF
V, C,
AND
H
25
1.2.6 COMPUTING A BASE OF H 29
1.3 CUT GRAPHS AND SYSTEMS OF LOOPS 31
1.3.1 FINDING A SHORTEST CUT GRAPH 31
1.4 VECTOR FIELD INDICES 32
2 QUADCOVER PARAMETERIZATION, PART I 35
2.1 GOOD PARAMETERIZATIONS 35
2.2 RELATED WORK 37
2.3 DIRECTION FIELDS 38
2.4 THE QUADCOVER ALGORITHM 39
2.4.1 FINDING AN INITIAL PARAMETERIZATION 40
2.4.2 GLOBAL CONTINUITY 40
HTTP://D-NB.INFO/1048228878
3 FRAME FIELDS AND COVERINGS 43
3.1 FRAME FIELDS . . 43
3.1.1 MATCHINGS AND FRAME FIELDS 44
3.1.2 CURVATURE AND INDICES . . . 45
3.2 COVERING SPACES 46
3.2.1 INTRODUCTION 46
3.2.2 A COVERING SURFACE FOR QUADCOVER 48
3.2.3 CALCULUS ON
M
51
4 QUADCOVER PARAMETERIZATION, PART II 55
4.1 QUADCOVER ON COVERINGS 55
4.2 CUT GRAPHS ON COVERINGS . 56
4.2.1 GLOBAL CONTINUITY 59
4.2.2 PURE QUADRILATERAL MESHES 60
5 FRAME FIELD GENERATION 63
5.1 PRINCIPAL CURVATURE FIELDS 63
5.1.1 COMPUTING PRINCIPAL CURVATURE DIRECTIONS 63
5.1.2 REGIONS OF STABLE ^CURVATURE DIRECTIONS . . . 64
5.2 SMOOTHING FRAME FIELDS 65
5.2.1 MINIMIZING
E$
66
5.2.2 BRANCH POINT RELOCATION 67
6 MINIMIZING DISTORTION 69
6.1 BRANCH POINT PLACEMENT 69
6.1.1 A DISTORTION MEASURE 70
6.2 CURL MINIMIZATION 71
6.2.1 COMPUTING THE CURL 72
6.2.2 A CURL MINIMIZATION HEURISTIC 75
6.3 THE MINIMIZATION OF ROUNDING ERRORS 78
6.3.1 MINIMIZING (C *
B)
T
P
(C *
B) 80
6.3.2 COMPUTATION OF THE PERIOD MATRIX 81
6.3.3 COMPARISON 82
6.4 BALANCING CURL AND ROUNDING ERRORS 83
7 RESULTS AND CONCLUSIONS 89
BIBLIOGRAPHY 95
LIST OF SYMBOLS 101
ZUSAMMENFASSUNG 103
|
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| author_facet | Kälberer, Felix |
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| author_sort | Kälberer, Felix |
| author_variant | f k fk |
| building | Verbundindex |
| bvnumber | BV041538258 |
| collection | ebook |
| ctrlnum | (OCoLC)878160001 (DE-599)BVBBV041538258 |
| 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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| indexdate | 2024-07-10T00:58:00Z |
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| language | English |
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| physical | 102 S. Ill., graph. Darst. |
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| publishDate | 2013 |
| publishDateSearch | 2013 |
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| spelling | Kälberer, Felix Verfasser (DE-588)1045803014 aut Low distortion surface parameterization vorgelegt von Felix Kälberer Verzerrungsarme Flächenparametrisierung 2013 102 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Nebentitel: Verzerrungsarme Flächenparametrisierung Berlin, Freie Univ., Diss., 2013 (DE-588)4113937-9 Hochschulschrift gnd-content Erscheint auch als Online-Ausgabe urn:nbn:de:kobv:188-fudissthesis000000095836-7 http://www.diss.fu-berlin.de/diss/receive/FUDISS_thesis_000000095836 kostenfrei Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026984067&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kälberer, Felix Low distortion surface parameterization |
| subject_GND | (DE-588)4113937-9 |
| title | Low distortion surface parameterization |
| title_alt | Verzerrungsarme Flächenparametrisierung |
| title_auth | Low distortion surface parameterization |
| title_exact_search | Low distortion surface parameterization |
| title_full | Low distortion surface parameterization vorgelegt von Felix Kälberer |
| title_fullStr | Low distortion surface parameterization vorgelegt von Felix Kälberer |
| title_full_unstemmed | Low distortion surface parameterization vorgelegt von Felix Kälberer |
| title_short | Low distortion surface parameterization |
| title_sort | low distortion surface parameterization |
| topic_facet | Hochschulschrift |
| url | http://www.diss.fu-berlin.de/diss/receive/FUDISS_thesis_000000095836 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026984067&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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