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Searching high order invariants in computer imagery


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Author: Berciano Alcaraz, Ainhoa
Molina Abril, Helena
Real Jurado, Pedro
Department: Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
Date: 2012
Published in: Applicable Algebra in Engineering, Communication and Computing, 23 (1), 17-28.
Document type: Article
Abstract: In this paper, we present a direct computational application of Homological Perturbation Theory (HPT, for short) to computer imagery. More precisely, the formulas of the A ∞–coalgebra maps Δ 2 and Δ 3 using the notion of AT-model of a digital image, and the HPT technique are implemented. The method has been tested on some specific examples, showing the usefulness of this computational tool for distinguishing 3D digital images.
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