A Short Course in Computational Geometry and Topology

Authors:

ISBN: 978-3-319-05956-3 (Print) 978-3-319-05957-0 (Online)

Table of contents (13 chapters)

  1. Front Matter

    Pages i-ix

  2. No Access

    Chapter

    Pages 1-6

    Roots of Geometry and Topology

  3. Tessellations

    1. Front Matter

      Pages 7-7

    2. No Access

      Chapter

      Pages 9-15

      Voronoi and Delaunay Diagrams

    3. No Access

      Chapter

      Pages 17-22

      Weighted Diagrams

    4. No Access

      Chapter

      Pages 23-27

      Three Dimensions

    5. Back Matter

      Pages 29-29

  4. Complexes

    1. Front Matter

      Pages 31-31

    2. No Access

      Chapter

      Pages 33-39

      Alpha Complexes

    3. No Access

      Chapter

      Pages 41-46

      Holes

    4. No Access

      Chapter

      Pages 47-52

      Area Formulas

    5. Back Matter

      Pages 53-54

  5. Homology

    1. Front Matter

      Pages 55-55

    2. No Access

      Chapter

      Pages 57-63

      Topological Spaces

    3. No Access

      Chapter

      Pages 65-71

      Homology Groups

    4. No Access

      Chapter

      Pages 73-78

      Complex Construction

    5. Back Matter

      Pages 79-80

  6. Persistence

    1. Front Matter

      Pages 81-81

    2. No Access

      Chapter

      Pages 83-89

      Filtrations

    3. No Access

      Chapter

      Pages 91-97

      PL Functions

    4. No Access

      Chapter

      Pages 99-105

      Matrix Reduction

    5. Back Matter

      Pages 107-108

  7. Back Matter

    Pages 109-110