Binary structuring elements decomposition based on an improved recursive dilation-union model and RSAPSO method

Yudong Zhang*, Shuihua Wang, Yi Sun, Genlin Ji, Preetha Phillips, Zhengchao Dong

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

This paper proposed an improved approach to decompose structuring elements of an arbitrary shape. For the model of this method, we use an improved dilation-union model, adding a new termination criterion, as the sum of 3-by-3 matrix should be less than 5. Next for the algorithm of this method, we introduced in the restarted simulated annealing particle swarm optimization method. The experiments demonstrate that our method can find better results than Park's method, Anelli's method, Shih's SGA method, and Zhang's MFSGA method. Besides, our method gave the best decomposition tree of different SE shapes including "ship," "car," "heart," "umbrella," "vase," "tree," "cat," "V," "bomb," and "cup."

Original languageEnglish
Article number272496
JournalMathematical Problems in Engineering
Volume2014
DOIs
Publication statusPublished - 2014
Externally publishedYes

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