Łukasiewicz transform and its application to compression and reconstruction of digital images

Authors:
A. Di Nola;C. Russo
Affiliations:
Universití degli Studi di Salerno, Dipartimento di Matematica ed Informatica, via Ponte don Melillo, 84084 Fisciano (SA), Italy;Universití degli Studi di Salerno, Dipartimento di Matematica ed Informatica, via Ponte don Melillo, 84084 Fisciano (SA), Italy
Venue:
Information Sciences: an International Journal
Year:
2007

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Abstract

We define the Lukasiewicz transform as a residuated map and a homomorphism between semimodules over the semiring reducts of an MV-algebra. Then we describe the ''Lukasiewicz Transform Based'' (LTB) algorithm for image processing, demonstrating its applicability.