Computing the Euler Number of a Binary Image Based on a Vertex Codification

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J. H. Sossa-Azuela
R. Santiago-Montero
M. Pérez-Cisneros
E. Rubio-Espino

Abstract

We describe a method to compute the Euler number of a binary digital image based on a codification of contour pixelsof the image’s shapes. The overall procedure evolves from a set of lemmas and theorems, their demonstration andtheir numerical validation. The method is supported through an experimental set which analyzes some digital imagesand their outcome to demonstrate the applicability of the procedure. The paper also includes a discussion aboutpresent and futures steps on this research.

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How to Cite
Sossa-Azuela, J. H., Santiago-Montero, R., Pérez-Cisneros, M., & Rubio-Espino, E. (2013). Computing the Euler Number of a Binary Image Based on a Vertex Codification. Journal of Applied Research and Technology, 11(3). https://doi.org/10.1016/S1665-6423(13)71546-3
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