Mathematical Morphological Distributive Concepts over Unions and Intersections - Advances in Pure Mathematics

APM > Vol.6 No.10, September 2016

Advances in Pure Mathematics

Volume 6, Issue 10 (September 2016)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

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Mathematical Morphological Distributive Concepts over Unions and Intersections ()

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DOI: 10.4236/apm.2016.610052 1,487 Downloads 1,874 Views Citations

Author(s)

Joseph Ackora-Prah^*, Robert K. Acquah, Yao Elikem Ayekple

Affiliation(s)

Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana.

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.

KEYWORDS

Mathematical Morphology, Dilation, Distributive

Share and Cite:

Ackora-Prah, J. , Acquah, R. and Ayekple, Y. (2016) Mathematical Morphological Distributive Concepts over Unions and Intersections. Advances in Pure Mathematics, 6, 633-637. doi: 10.4236/apm.2016.610052.

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