Polygon Mesh Processing

ISBN-10: 1568814267

ISBN-13: 9781568814261

Edition: 2010

List price: $68.95
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Geometry processing, or mesh processing, is a fast-growing area of research that uses concepts from applied mathematics, computer science, and engineering to design efficient algorithms for the acquisition, reconstruction, analysis, manipulation, simulation, and transmission of complex 3D models. Applications of geometry processing algorithms already cover a wide range of areas from multimedia, entertainment, and classical computer-aided design, to biomedical computing, reverse engineering, and scientific computing. Over the last several years, triangle meshes have become increasingly popular, as irregular triangle meshes have developed into a valuable alternative to traditional spline surfaces. This book discusses the whole geometry processing pipeline based on triangle meshes. The pipeline starts with data input, for example, a model acquired by 3D scanning techniques. This data can then go through processes of error removal, mesh creation, smoothing, conversion, morphing, and more. The authors detail techniques for those processes using triangle meshes.
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Book details

List price: $68.95
Copyright year: 2010
Publisher: A K Peters, Limited
Publication date: 10/7/2010
Binding: Hardcover
Pages: 250
Size: 6.00" wide x 9.00" long x 0.50" tall
Weight: 1.342
Language: English

Leif Kobbelt is a professor of Computer Graphics & Multimedia at RWTH Aachen University in Germany. Mario Botsch is a professor of Computer Science at Bielefeld University and leads the Computer Graphics & Geometry Processing Group. Mark Pauly is an assistant professor in the computer science department of ETH Zurich, Switzerland. Pierre Alliez is a researcher in Computer Science at INRIA Sophia-Antipolis, in the GEOMETRICA group. Bruno Lvy is a senior researcher in INRIA-NGE, and a member of the LORIA lab. He is the scientific head of the ALICE project team.

Surface Representations
Surface Definition and Properties
Approximation Power
Parametric Surface Representations
Implicit Surface Representations
Conversion Methods
Summary and Further Reading
Mesh Data Structures
Face-Based Data Structures
Edge-Based Data Structures
Halfedge-Based Data Structure
Directed-Edge Data Structure
Summary and Further Reading
Differential Geometry
Discrete Differential Operators
Summary and Further Reading
Fourier Transform and Manifold Harmonics
Diffusion Flow
Summary and Further Reading
General Goals
Parameterization of a Triangulated Surface
Barycentric Mapping
Conformal Mapping
Methods Based on Distortion Analysis
Summary and Further Reading
Local Structure
Global Structure
Voronoi Diagrams and Delaunay Triangulations
Triangle-Based Remeshing
Quad-dominant Remeshing
Summary and Further Reading
Simplification & Approximation
Vertex Clustering
Incremental Decimation
Shape Approximation
Out-of-Core Methods
Summary and Further Reading
Model Repair
Types of Artifacts: The "Freak Show"
Types of Repair Algorithms
Types of Input
Surface-Oriented Algorithms
Volumetric Repair Algorithms
Summary and Further Reading
Transformation Propagation
Shell-Based Deformation
Multi-Scale Deformation
Differential Coordinates
Freeform Deformation
Radial Basis Functions
Limitations of Linear Methods
Summary and Further Reading
Discretizing Poisson and Laplace Equations
Data Structures for Sparse Matrices
Iterative Solvers
Sparse Direct Cholesky Solver
Non-Symmetric Indefinite Systems
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