2012

Guide to Computational Geometry Processing

Foundations, Algorithms, and Methods

ISBN: 978-1-4471-4074-0 (Print) 978-1-4471-4075-7 (Online)

Table of contents (18 chapters)

  1. Front Matter

    Pages I-XVIII

  2. Introduction

    1. Front Matter

      Pages 11-11

    2. No Access

      Book Chapter

      Pages 1-10

      Introduction

  3. Mathematical Preliminaries

    1. Front Matter

      Pages 11-11

    2. No Access

      Book Chapter

      Pages 13-43

      Vector Spaces, Affine Spaces, and Metric Spaces

    3. No Access

      Book Chapter

      Pages 45-64

      Differential Geometry

    4. No Access

      Book Chapter

      Pages 65-79

      Finite Difference Methods for Partial Differential Equations

  4. Computational Geometry Processing

    1. Front Matter

      Pages 81-81

    2. No Access

      Book Chapter

      Pages 83-97

      Polygonal Meshes

    3. No Access

      Book Chapter

      Pages 99-117

      Splines

    4. No Access

      Book Chapter

      Pages 119-141

      Subdivision

    5. No Access

      Book Chapter

      Pages 143-158

      Curvature in Triangle Meshes

    6. No Access

      Book Chapter

      Pages 159-177

      Mesh Smoothing and Variational Subdivision

    7. No Access

      Book Chapter

      Pages 179-190

      Parametrization of Meshes

    8. No Access

      Book Chapter

      Pages 191-211

      Simplifying and Optimizing Triangle Meshes

    9. No Access

      Book Chapter

      Pages 213-225

      Spatial Data Indexing and Point Location

    10. No Access

      Book Chapter

      Pages 227-240

      Convex Hulls

    11. No Access

      Book Chapter

      Pages 241-261

      Triangle Mesh Generation: Delaunay Triangulation

    12. No Access

      Book Chapter

      Pages 263-275

      3D Surface Registration via Iterative Closest Point (ICP)

    13. No Access

      Book Chapter

      Pages 277-286

      Surface Reconstruction using Radial Basis Functions

    14. No Access

      Book Chapter

      Pages 287-308

      Volumetric Methods for Surface Reconstruction and Manipulation

    15. No Access

      Book Chapter

      Pages 309-320

      Isosurface Polygonization

  5. Back Matter

    Pages 321-325