ACTA UNIVERSITATIS APULENSIS Special Issue MATHEMATICAL MORPHOLOGY BASED ON LOGARITHMIC IMAGE PROCESSING THEORY
نویسنده
چکیده
The purpose of this paper is to define and to analyze three new sets of logarithmic morphological operators and it is focused on theoretical and practical aspects concerning the enhancement of the transmitted images and the physical absorption/transmission laws expressed within LIP (Logarithmic Image Processing) mathematical framework. Using different logarithmic image representations, an approach of redefining mathematical morphology operators based upon structuring elements with a variable geometrical shape or adaptative structuring elements is presented here. The specific LIP algebraic and functional operations and structures are very well adapted to image representation and processing, and more generally to digital signal processing within a bounded intensity range. This very well structured theory determined us to use the logarithmic image representation in our approach of defining three new categories of mathematical morphology operators: Multiplicative LMO (Logarithmic Morphological Operators), Additive LMO and Additive-Multiplicative LMO. 2000 Mathematics Subject Classification: Applied Mathematics
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