Verifying an algorithm computing Discrete Vector Fields for digital imaging

Autor:	Heras, Jónathan, Poza, María, Rubio, Julio
Rok vydání:	2012
Předmět:	Computer Science - Artificial Intelligence Computer Science - Logic in Computer Science Computer Science - Mathematical Software Mathematics - Algebraic Topology
Zdroj:	Calculemus 2012, Lecture Notes in Computer Science, 7362, pages 215--229, 2012
Druh dokumentu:	Working Paper
DOI:	10.1007/978-3-642-31374-5_15
Popis:	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. Comment: Published in the Calculemus track of the CICM 2012 congress
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1207.3315 Zobrazit plný text záznamu View this record from Arxiv