Title
Towards a certified computation of homology groups for digital images
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.
Year
DOI
Venue
2012
10.1007/978-3-642-30238-1_6
CTIC
Keywords
Field
DocType
certified computation,digital image,homology group,coq proof assistant,processing tool,real biomedical image
Discrete mathematics,Singular homology,Computer science,Digital image,Theoretical computer science,Certification,Discrete Morse theory,Computation,Proof assistant
Conference
Volume
ISSN
Citations 
7309
0302-9743
9
PageRank 
References 
Authors
0.68
14
6
Name
Order
Citations
PageRank
Jónathan Heras19423.31
Maxime Dénès2644.91
Gadea Mata3143.57
Anders Mörtberg4595.44
María Poza5202.29
Vincent Siles6795.57