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Towards a certified computation of homology groups for digital images

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2012) 7309 LNCS 49-57
DOI: 10.1007/978-3-642-30238-1_6
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Abstract

In this paper we report on a project to obtain a verified computation of homology groups of digital images. The methodology is based on programming and executing inside the Coq proof assistant. Though more research is needed to integrate and make efficient more processing tools, we present some examples partially computed in Coq from real biomedical images. © 2012 Springer-Verlag.

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Heras, J., Dénès, M., Mata, G., Mörtberg, A., Poza, M., & Siles, V. (2012). Towards a certified computation of homology groups for digital images. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7309 LNCS, pp. 49–57). https://doi.org/10.1007/978-3-642-30238-1_6

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