实例介绍
【实例简介】
Polygon Mesh Processing 多边形网格处理绝对不容错过的经典书籍
Polygon Mesh Processin 8 Mario botsch Leif Kobbelt Mark pauly Pierre allie Bruno Levy A K Peters, Ltd Natick, Massachusetts Editorial, Sales, and Customer Service Office a PEters ltd 5 Commonwealth Road. Suite 2C Natick. MA 01760-1526 www.akpeters.com Copyright 2010 by A K Peters, Ltd All rights reserved. No part of the material protected by this copyright notice may be reproduced or utilized in any form, electronic or mechani- cal, including photocopying, recording, or by any information storage and retrieval system, without written permission from the copyright owner. Library of Congress Cataloging-in-Publication Data Polygon mesh processing /Mario Botsch.. et al. Includes bibliographica. I references and index ISBN978-1-56881-426-1(alk. paper 1. Geometry-Data processing. 2. Mathematical models. 3. Computer graphics. 4. Polygons. I. Botsch, Mario QA447P622010 516.20285dc22 2009024954 Printed in india 1413121110 10987654321 CONTENTS P eface 1 Surface Representations 1.1 Surface Definition and Properties 1.2A pproximat tion powcr 1.3 Parametric Surface representations 1.41 Implicit surface representations 1.5 Conversion Methods 1.6 Summary and Further Reading 20 2 Mesh data structurcs 21 2.1 Face-Based data structures 22 2.2 Edge-Based Data Structures 24 2.3 Halfedge-Based Data Str 2.4 Directed-Edge data structure 27 2.5 Summary and Further Readin 9 3 Differential Geometry 29 3.1 Curves 29 3.2 Surfa 3.3 Discrete Differential Operators 31 40 3.4 Summary and further reading 48 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 5.3 Barycentric Mapping 5.4 Conformal Mapping 5.5 Methods Based on Distortion Analysis 8 5.6 Summary and Further reading 6 Remeshing 85 6.1 Local structurc 6.2 Global structure 8 6.3 Correspondent 6. 4 Voronoi diagrams and Delaunay Triangulations 6.5 Triallgle-Based remeshing 92 6.6 Quad-dominant Remeshing 104 6.7 Summary and Further Reading 110 7 Simplification Approximation 7.1 Vertex Clusterin 113 7.2 Incremental Decimation 7.3 Shape Approximation 7. 4 ut -of-Core Methods 127 7.5 Summary and Further Reading 8 Model repair 131 8.2 Types of Repair Algorithms SK 8.1 Types of Artifacts: The"Freak Show 132 132 8.3 Types of Input 4 Surface-Oriented Algorith 139 8.5 Volumetric Repair algorithms 144 8.6 Summary and Further reading 0 9 Deformation 151 9. 1 Transformation Propagation 153 9.2 Shell-Based deformation 155 9.3 Multi-Scale D 9. 4 Differential Coordinates 164 Contents 9.5 Freeform Deformation 16 9.6 Radial Basis Functions 9.7 Limitations of Linear Methods 9. 8 SuMMary and Further Reading 177 A Numerics 181 A1 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-Symmctric Indcfinitc Systcms 196 A 6 CoInparisoll 19 Bibliography 203 ndex 226 PREFACE Recent innovation in 3D acquisition technology, such as computer tomog raphy, magnetic resonance imaging, 3D laser scanning, ultrasound, radar and microscopy has enabled highly accurate digitization of complex 3D objects. Numerous scientific disciplines, such as neuroscience, mechanical engineering, and astrophysics, rely on the analysis and processing of such geometric data to understand intricate geometric structures and facilitate new scientific discoveries. A similar abundance of digital 3D content can be observed in other fields and industries, including entertainment, cultural heritage, geo-exploration, architecture, and urban modeling. Concurrent to these advances in 3D sensing technology, we are experiencing a revol tion in digital manufacturing technology (e.g in bio-medicine, commodity product design, and architecture). Novel materials and robotic production will soon allow the automated creation of complex, fully functional physical artifacts from a digital design plan Between acquisition and production lies the discipline of digital geome- try processing, a relatively new field of computer science that is concerned with mathematical models and algorithms for analyzing and manipulat- ing geometric data. Typical operations include surface reconstruction from point samples, filtering operations for noise removal, geometry analysis shape simplification, and geometric modeling and interactive design. The abundance of data sources, processing operatiOns, and Inallufacturing tech- nologies has resulted in a great wealth of mathematical representations for geometric data. In this context, polygon meshes have become in creasingly popular in recent years and are nowadays used intensively in 【实例截图】
【核心代码】
Polygon Mesh Processing 多边形网格处理绝对不容错过的经典书籍
Polygon Mesh Processin 8 Mario botsch Leif Kobbelt Mark pauly Pierre allie Bruno Levy A K Peters, Ltd Natick, Massachusetts Editorial, Sales, and Customer Service Office a PEters ltd 5 Commonwealth Road. Suite 2C Natick. MA 01760-1526 www.akpeters.com Copyright 2010 by A K Peters, Ltd All rights reserved. No part of the material protected by this copyright notice may be reproduced or utilized in any form, electronic or mechani- cal, including photocopying, recording, or by any information storage and retrieval system, without written permission from the copyright owner. Library of Congress Cataloging-in-Publication Data Polygon mesh processing /Mario Botsch.. et al. Includes bibliographica. I references and index ISBN978-1-56881-426-1(alk. paper 1. Geometry-Data processing. 2. Mathematical models. 3. Computer graphics. 4. Polygons. I. Botsch, Mario QA447P622010 516.20285dc22 2009024954 Printed in india 1413121110 10987654321 CONTENTS P eface 1 Surface Representations 1.1 Surface Definition and Properties 1.2A pproximat tion powcr 1.3 Parametric Surface representations 1.41 Implicit surface representations 1.5 Conversion Methods 1.6 Summary and Further Reading 20 2 Mesh data structurcs 21 2.1 Face-Based data structures 22 2.2 Edge-Based Data Structures 24 2.3 Halfedge-Based Data Str 2.4 Directed-Edge data structure 27 2.5 Summary and Further Readin 9 3 Differential Geometry 29 3.1 Curves 29 3.2 Surfa 3.3 Discrete Differential Operators 31 40 3.4 Summary and further reading 48 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 5.3 Barycentric Mapping 5.4 Conformal Mapping 5.5 Methods Based on Distortion Analysis 8 5.6 Summary and Further reading 6 Remeshing 85 6.1 Local structurc 6.2 Global structure 8 6.3 Correspondent 6. 4 Voronoi diagrams and Delaunay Triangulations 6.5 Triallgle-Based remeshing 92 6.6 Quad-dominant Remeshing 104 6.7 Summary and Further Reading 110 7 Simplification Approximation 7.1 Vertex Clusterin 113 7.2 Incremental Decimation 7.3 Shape Approximation 7. 4 ut -of-Core Methods 127 7.5 Summary and Further Reading 8 Model repair 131 8.2 Types of Repair Algorithms SK 8.1 Types of Artifacts: The"Freak Show 132 132 8.3 Types of Input 4 Surface-Oriented Algorith 139 8.5 Volumetric Repair algorithms 144 8.6 Summary and Further reading 0 9 Deformation 151 9. 1 Transformation Propagation 153 9.2 Shell-Based deformation 155 9.3 Multi-Scale D 9. 4 Differential Coordinates 164 Contents 9.5 Freeform Deformation 16 9.6 Radial Basis Functions 9.7 Limitations of Linear Methods 9. 8 SuMMary and Further Reading 177 A Numerics 181 A1 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-Symmctric Indcfinitc Systcms 196 A 6 CoInparisoll 19 Bibliography 203 ndex 226 PREFACE Recent innovation in 3D acquisition technology, such as computer tomog raphy, magnetic resonance imaging, 3D laser scanning, ultrasound, radar and microscopy has enabled highly accurate digitization of complex 3D objects. Numerous scientific disciplines, such as neuroscience, mechanical engineering, and astrophysics, rely on the analysis and processing of such geometric data to understand intricate geometric structures and facilitate new scientific discoveries. A similar abundance of digital 3D content can be observed in other fields and industries, including entertainment, cultural heritage, geo-exploration, architecture, and urban modeling. Concurrent to these advances in 3D sensing technology, we are experiencing a revol tion in digital manufacturing technology (e.g in bio-medicine, commodity product design, and architecture). Novel materials and robotic production will soon allow the automated creation of complex, fully functional physical artifacts from a digital design plan Between acquisition and production lies the discipline of digital geome- try processing, a relatively new field of computer science that is concerned with mathematical models and algorithms for analyzing and manipulat- ing geometric data. Typical operations include surface reconstruction from point samples, filtering operations for noise removal, geometry analysis shape simplification, and geometric modeling and interactive design. The abundance of data sources, processing operatiOns, and Inallufacturing tech- nologies has resulted in a great wealth of mathematical representations for geometric data. In this context, polygon meshes have become in creasingly popular in recent years and are nowadays used intensively in 【实例截图】
【核心代码】
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