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Mathematical Morphological Distributive Concepts over Unions and Intersections
Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana
Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana
Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana
- 1 Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana
- 2 Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana
- 3 Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana
Advances in Pure Mathematics·Volume 06 (2016)·Pages 633–637·Published 12 September 2016·DOI10.4236/apm.2016.610052
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Abstract
Mathematical Morphological concepts outline techniques for analysing and processing geometric structures based on set theory. In this paper, we present proofs of our theorems on morphological distributive properties over Unions and Intersections with respect to Dilation and Erosion. These results provide new realizations of Dilation, Erosion and conclude that they are distributive over Unions but non-distributive over Intersections.
KeywordsMathematical MorphologyDilationDistributive
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