In this paper, we present a formalization of an algorithm to construct admissible discrete vector fields in the Coq theorem prover taking advantage of the SSReflect library. Discrete vector fields are a tool which has been welcomed in the homological analysis of digital images since it provides a procedure to reduce the amount of information but preserving the homological properties. In particular, thanks to discrete vector fields, we are able to compute, inside Coq, homological properties of biomedical images which otherwise are out of the reach of this system. © 2012 Springer-Verlag.
CITATION STYLE
Heras, J., Poza, M., & Rubio, J. (2012). Verifying an algorithm computing discrete vector fields for digital imaging. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7362 LNAI, pp. 216–230). https://doi.org/10.1007/978-3-642-31374-5_15
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