Towards a Certified Computation of Homology Groups for Digital Images

نویسندگان

  • Jónathan Heras
  • Maxime Dénès
  • Gadea Mata
  • Anders Mörtberg
  • María Poza
  • Vincent Siles
چکیده

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.

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تاریخ انتشار 2012