Volume 38 2008

Discrete Differential Geometry

ISBN: 978-3-7643-8620-7 (Print) 978-3-7643-8621-4 (Online)

Table of contents (17 chapters)

  1. Front Matter

    Pages i-x

  2. Discretization of Surfaces: Special Classes and Parametrizations

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-35

      Surfaces from Circles

    3. No Access

      Book Chapter

      Pages 37-56

      Minimal Surfaces from Circle Patterns: Boundary Value Problems, Examples

    4. No Access

      Book Chapter

      Pages 57-66

      Designing Cylinders with Constant Negative Curvature

    5. No Access

      Book Chapter

      Pages 67-93

      On the Integrability of Infinitesimal and Finite Deformations of Polyhedral Surfaces

    6. No Access

      Book Chapter

      Pages 95-115

      Discrete Hashimoto Surfaces and a Doubly Discrete Smoke-Ring Flow

    7. No Access

      Book Chapter

      Pages 117-133

      The Discrete Green’s Function

  3. Curvatures of Discrete Curves and Surfaces

    1. Front Matter

      Pages 135-135

    2. No Access

      Book Chapter

      Pages 137-161

      Curves of Finite Total Curvature

    3. No Access

      Book Chapter

      Pages 163-174

      Convergence and Isotopy Type for Graphs of Finite Total Curvature

    4. No Access

      Book Chapter

      Pages 175-188

      Curvatures of Smooth and Discrete Surfaces

  4. Geometric Realizations of Combinatorial Surfaces

    1. Front Matter

      Pages 189-189

    2. No Access

      Book Chapter

      Pages 191-213

      Polyhedral Surfaces of High Genus

    3. No Access

      Book Chapter

      Pages 215-233

      Necessary Conditions for Geometric Realizability of Simplicial Complexes

    4. No Access

      Book Chapter

      Pages 235-253

      Enumeration and Random Realization of Triangulated Surfaces

    5. No Access

      Book Chapter

      Pages 255-260

      On Heuristic Methods for Finding Realizations of Surfaces

  5. Geometry Processing and Modeling with Discrete Differential Geometry

    1. Front Matter

      Pages 261-261

    2. No Access

      Book Chapter

      Pages 263-273

      What Can We Measure?

    3. No Access

      Book Chapter

      Pages 275-286

      Convergence of the Cotangent Formula: An Overview

    4. No Access

      Book Chapter

      Pages 287-324

      Discrete Differential Forms for Computational Modeling

    5. No Access

      Book Chapter

      Pages 325-337

      A Discrete Model of Thin Shells

  6. Back Matter

    Pages 339-341