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arXiv · 1402.4069

Application of the Ring Theory in the Segmentation of Digital Images

Yasel Garcés·Esley Torres·Osvaldo Pereira·Roberto Rodríguez
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Abstract

Ring theory is one of the branches of the abstract algebra that has been broadly used in images. However, ring theory has not been very related with image segmentation. In this paper, we propose a new index of similarity among images using Zn rings and the entropy function. This new index was applied as a new stopping criterion to the Mean Shift Iterative Algorithm with the goal to reach a better segmentation. An analysis on the performance of the algorithm with this new stopping criterion is carried out. The obtained results proved that the new index is a suitable tool to compare images.

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Yasel Garcés, Esley Torres, Osvaldo Pereira, Roberto Rodríguez. 2014-02-17. Application of the Ring Theory in the Segmentation of Digital Images. https://arxiv.org/abs/1402.4069

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