Towards a certified computation of homology groups for digital images
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1
Universidad de La Rioja
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2
Research Centre Inria Sophia Antipolis - Méditerranée
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Research Centre Inria Sophia Antipolis - Méditerranée
Valbonne, Francia
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3
University of Gothenburg
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Publisher: SPRINGER-VERLAG
ISBN: 978-3-642-30238-1
Year of publication: 2012
Volume: 7309 LNCS
Pages: 49-57
Type: Book chapter
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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.