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. Key words: MV-algebras, many valued logic, fuzzy relation equations, residuated maps 1991 MSC: 03B50, 03G10, 06D35