Computing the Euler Number of a Binary Image Based on a Vertex Codification
We describe a method to compute the Euler number of a binary digital image based on a codification of contour pixels of the image's shapes. The overall procedure evolves from a set of lemmas and theorems, their demonstration and their numerical validation. The method is supported through an experimental set which analyzes some digital images and their outcome to demonstrate the applicability of the procedure. The paper also includes a discussion about present and futures steps on this research.
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Main Authors: | , , , |
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Format: | Digital revista |
Language: | English |
Published: |
Universidad Nacional Autónoma de México, Instituto de Ciencias Aplicadas y Tecnología
2013
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Online Access: | http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S1665-64232013000300006 |
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Summary: | We describe a method to compute the Euler number of a binary digital image based on a codification of contour pixels of the image's shapes. The overall procedure evolves from a set of lemmas and theorems, their demonstration and their numerical validation. The method is supported through an experimental set which analyzes some digital images and their outcome to demonstrate the applicability of the procedure. The paper also includes a discussion about present and futures steps on this research. |
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