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Algorithms in Digital Geometry Based on Cellular Topology

  • V. Kovalevsky
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3322)

Abstract

The paper presents some algorithms in digital geometry based on the topology of cell complexes. The paper contains an axiomatic justification of the necessity of using cell complexes in digital geometry. Algorithms for solving the following problems are presented: tracing of curves and surfaces, recognition of digital straight line segments (DSS), segmentation of digital curves into longest DSS, recognition of digital plane segments, computing the curvature of digital curves, filling of interiors of n-dimensional regions (n=2,3,4), labeling of components (n=2,3), computing of skeletons (n=2, 3).

Keywords

Vertical Crack Topological Boundary Positive Pixel Topological Line Classical Axiom 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • V. Kovalevsky
    • 1
  1. 1.University of Applied SciencesBerlin

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