Topology of Digital Images: Visual Pattern Discovery in Proximity Spaces (Hardcover, 2014)

Preface.- 1 Topology of Digital Images: Basic Ingredients.- 2 Structures Arising from Sets of Pixels.- 3 Visualisations and Covers.- 4 Linear Filtering and Visual Patterns in Images.- 5 Edges, Lines, Ridges, and Nearness Structures.- 6 Corners and Symmetric Proximity.- 7 Separation of Image Regions and Set Patterns.- 8 Descriptive Raster Spaces.- 9 Component Analysis and Uniform Spaces.- 10 Shapes and Shape Set Patterns.- 11 Texture and Texture Set Patterns.- 12 Pattern-Based Picture Classification.- 13 Appendix: Matlab and Mathematica Scripts.- 14 Notes and Further Readings.