.

0 (hodnocen0 x )

EB

EB

Natick, Mass. : A.K. Peters, 2010

1 online zdroj

ISBN 9780429195709 (e-book : PDF)

ISBN 9781568814261 (vázáno)

Obsahuje bibliografické odkazy na stranách 203-225) a rejstřík

001478263

Preface ix // 1 Surface Representations 1 // 1.1 Surface Definition and Properties 3 // 1.2 Approximation Power 5 // 1.3 Parametric Surface Representations 7 // 1.4 Implicit Surface Representations 13 // 1.5 Conversion Methods 15 // 1.6 Summary and Further Reading 20 // 2 Mesh Data Structures 21 // 2.1 Face-Based Data Structures 22 // 2.2 Edge-Based Data Structures 24 // 2.3 Halfedge-Based Data Structure 25 // 2.4 Directed-Edge Data Structure 27 // 2.5 Summary and Further Reading 28 // 3 Differential Geometry 29 // 3.1 Curves 29 // 3.2 Surfaces 31 // 3.3 Discrete Differential Operators 40 // 3.4 Summary and Further Reading 48 // v // vi Contents // 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 Triangle-Based Remeshing 92 // 6.6 Quad-dominant Remeshing 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 Show” 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 // Contents vi і // 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

(OCoLC)808666189