Polygon Mesh Processing 1st edition By Mario Botsch, Leif Kobbelt, Mark Pauly, Pierre Alliez, Bruno Levy – Ebook PDF Instant Download/Delivery: 1568814261, 9781568814261
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Product details:
ISBN 10: 1568814261
ISBN 13: 9781568814261
Author: Mario Botsch, Leif Kobbelt, Mark Pauly, Pierre Alliez, Bruno Levy
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.
Polygon Mesh Processing 1st Table of contents:
- 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
Curves
Surfaces
Discrete Differential Operators
Summary and Further Reading - Smoothing
Fourier Transform and Manifold Harmonics
Diffusion Flow
Fairing
Summary and Further Reading - Parameterization
General Goals
Parameterization of a Triangulated Surface
Barycentric Mapping
Conformal Mapping
Methods Based on Distortion Analysis
Summary and Further Reading - Remeshing
Local Structure
Global Structure
Correspondences
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 - Deformation
Transformation Propagation
Shell-Based Deformation
Multi-Scale Deformation
Differential Coordinates
Freeform Deformation
Radial Basis Functions
Limitations of Linear Methods
Summary and Further Reading
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Tags: Mario Botsch, Leif Kobbelt, Mark Pauly, Pierre Alliez, Bruno Levy, Polygon Mesh Processing