A certified reduction strategy for homological image processing

Maria Poza, Cesar Dominguez, Jonathan Heras, Julio Rubio

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    The analysis of digital images using homological procedures is an outstanding topic in the area of Computational Algebraic Topology. In this article, we describe a certified reduction strategy to deal with digital images, but one preserving their homological properties. We stress both the advantages of our approach (mainly, the formalization of the mathematics allowing us to verify the correctness of algorithms) and some limitations (related to the performance of the running systems inside proof assistants). The drawbacks are overcome using techniques that provide an integration of computation and deduction. Our driving application is a problem in bioinformatics, where the accuracy and reliability of computations are specially requested.

    Original languageEnglish
    Article number23
    JournalACM Transactions on Computational Logic
    Volume15
    Issue number3
    DOIs
    Publication statusPublished - 8 Jul 2014

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