Applications of the Lefschetz Number to Digital Images

Özgür Ege, İsmet Karaca · Bulletin of the Belgian Mathematical Society - Simon Stevin · 2014

The goal of this paper is to develop some applications of the Lefschetz fixed point theorem to digital images. We also deal with relative and reduced Lefschetz fixed point theorem for digital complexes. We give some examples related to the topic. We calculate the degree of the antipodal map for sphere-like digital images using fixed point properties.

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