Polygon mesh processing

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Veröffentlicht: Natick, Mass. Peters 2010
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Datensatz im Suchindex

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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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publishDate 2010
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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
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