Polygon mesh processing
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Format: | Buch |
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Sprache: | English |
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Natick, Mass.
Peters
2010
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020 | |z 9781568814261 |9 978-1-56881-426-1 | ||
035 | |a (OCoLC)731773022 | ||
035 | |a (DE-599)BVBBV037408856 | ||
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245 | 1 | 0 | |a Polygon mesh processing |c Mario Botsch ... |
264 | 1 | |a Natick, Mass. |b Peters |c 2010 | |
300 | |a XI, 230 S. |b Ill., graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
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689 | 0 | |5 DE-604 | |
700 | 1 | |a Botsch, Mario |d 1974- |e Sonstige |0 (DE-588)130313114 |4 oth | |
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943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-022561390 |
Datensatz im Suchindex
_version_ | 1819760465853546496 |
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adam_text | Contents
Preface
1 Surface Representations
1.1 Surface Definition and Properties .
1.2 Approximation Power............
1.3 Parametric Surface Representations
1.4 Implicit Surface Representations .
1.5 Conversion Methods.............
1.6 Summary and Further Reading . .
2 Mesh Data Structures
2.1 Face-Based Data Structures ....
2.2 Edge-Based Data Structures ....
2.3 Halfedge-Based Data Structure . .
2.4 Directed-Edge Data Structure . . .
2.5 Summary and Further Reading . .
3 Differential Geometry
3.1 Curves.........................
3.2 Surfaces.......................
3.3 Discrete Differential Operators . .
3.4 Summary and Further Reading . .
ix
3
5
7
13
15
20
21
22
24
25
27
28
29
29
31
40
48
v
C Contents
vi
4 Smoothing 49
4.1 Fourier Transform and Manifold Harmonics................ 50
4.2 Diffusion Flow ......................................... 54
4.3 Fairing.............................................. 57
4.4 Summary and Further Reading............................. 61
5 Parameterization 63
5.1 General Goals........................................... 64
5.2 Parameterization of a Triangulated Surface.............. 66
5.3 Barycentric Mapping..................................... 67
5.4 Conformal Mapping....................................... 71
5.5 Methods Based on Distortion Analysis.................... 78
5.6 Summary and Further Reading............................. 82
6 Remeshing 85
6.1 Local Structure......................................... 86
6.2 Global Structure........................................ 87
6.3 Correspondences......................................... 89
6.4 Voronoi Diagrams and Delaunay Triangulations............ 89
6.5 Tri angle-Based Remeshing............................... 92
6.6 Quad-dominant R.emeshing............................... 104
6.7 Summary and Further Reading............................ 110
7 Simplification Approximation 111
7.1 Vertex Clustering...................................... 113
7.2 Incremental Decimation................................. 115
7.3 Shape Approximation.................................... 122
7.4 Out-of-Core Methods.................................... 127
7.5 Summary and Further Reading............................ 130
8 Model Repair 131
8.1 Types of Artifacts: The “Freak Show5 .................. 132
8.2 Types of Repair Algorithms............................. 132
8.3 Types of Input......................................... 135
8.4 Surface-Oriented Algorithms ........................... 139
8.5 Volumetric Repair Algorithms........................... 144
8.6 Summary and Further Reading............................ 150
9 Deformation 151
9.1 Transformation Propagation............................. 153
9.2 Shell-Based Deformation................................ 155
9.3 Multi-Scale Deformation................................ 157
9.4 Differential Coordinates............................... 164
« ^
v
՝Ï
Contents VI i
9.5 Freeform Deformation.............................. 169
9.6 Radial Basis Functions................................. 173
9.7 Limitations of Linear Methods.......................... 175
9.8 Summary and Further Reading............................ 177
A Numerics 181
A.l Discretizing Poisson and Laplace Equations............. 181
A.2 Data Structures for Sparse Matrices.................... 184
A.3 Iterative Solvers ..................................... 187
A.4 Sparse Direct Cholesky Solver........................... 193
A.5 Non-Symmetric Indefinite Systems....................... 196
A. 6 Comparison............................................. 197
Bibliography . 203
Index 226
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bvnumber | BV037408856 |
classification_rvk | ST 320 |
ctrlnum | (OCoLC)731773022 (DE-599)BVBBV037408856 |
discipline | Informatik |
format | Book |
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id | DE-604.BV037408856 |
illustrated | Illustrated |
indexdate | 2024-12-24T01:03:38Z |
institution | BVB |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-022561390 |
oclc_num | 731773022 |
open_access_boolean | |
owner | DE-188 DE-83 DE-634 DE-1050 DE-739 |
owner_facet | DE-188 DE-83 DE-634 DE-1050 DE-739 |
physical | XI, 230 S. Ill., graph. Darst. |
publishDate | 2010 |
publishDateSearch | 2010 |
publishDateSort | 2010 |
publisher | Peters |
record_format | marc |
spellingShingle | Polygon mesh processing Mathematisches Modell (DE-588)4114528-8 gnd Polygon (DE-588)4175197-8 gnd |
subject_GND | (DE-588)4114528-8 (DE-588)4175197-8 |
title | Polygon mesh processing |
title_auth | Polygon mesh processing |
title_exact_search | Polygon mesh processing |
title_full | Polygon mesh processing Mario Botsch ... |
title_fullStr | Polygon mesh processing Mario Botsch ... |
title_full_unstemmed | Polygon mesh processing Mario Botsch ... |
title_short | Polygon mesh processing |
title_sort | polygon mesh processing |
topic | Mathematisches Modell (DE-588)4114528-8 gnd Polygon (DE-588)4175197-8 gnd |
topic_facet | Mathematisches Modell Polygon |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022561390&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT botschmario polygonmeshprocessing |