A New Concept for Digital Geometry

@inproceedings{Kovalevsky1994ANC,
  title={A New Concept for Digital Geometry},
  author={Vladimir A. Kovalevsky},
  year={1994}
}
A concept for geometry in a topological space with finitely many elements without the use of infinitesimals is presented. The notions of congruence, collinearity, convexity, digital lines, perimeter, area, volume, etc. are defined. The classical notion of continuous mappings is transferred (without changes) onto finite spaces. A slightly more general notion of connectivity preserving mappings is introduced. Applications for shape analysis are demonstrated. 

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