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Homotopy in 2-dimensional digital images

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (1997) 1347 211-222
DOI: 10.1007/BFb0024842
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Abstract

We recall the basic definitions concerning homotopy in 2D Digital Topology, and we set and prove several results concerning homotopy of subsets. Then we introduce an explicit isomorphism between the fundamental group and a free group. As a consequence, we provide an algorithm for deciding whether two closed path are homotopic.

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Malgouyres, R. (1997). Homotopy in 2-dimensional digital images. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1347, pp. 211–222). Springer Verlag. https://doi.org/10.1007/BFb0024842

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