Abstract
A new method to compute the Euler number of a 2-D binary image is described in this paper. The method employs three comparisons unlike other proposals that utilize more comparisons. We present two variations, one useful for the case of images containing only 4-connected objects and one useful in the case of 8-connected objects. To numerically validate our method, we firstly apply it to a set of very simple examples; to demonstrate its applicability, we test it next with a set of images of different sizes and object complexities. To show competitiveness of our method against other proposals, we compare it in terms of processing times with some of the state-of-the-art-formulations reported in literature.
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Acknowledgements
Humberto Sossa would like to thank IPN-CIC and CONACYT (projects SIP 20161126, and CONACYT under projects 155014 and 65 within the framework of call: Frontiers of Science 2015) for the economic support to carry out this research. Ángel Carreón thanks CONACYT for the economic support to carry out his Master studies.
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Sossa-Azuela, J.H., Carreón-Torres, Á.A., Santiago-Montero, R., Bribiesca-Correa, E., Petrilli-Barceló, A. (2017). Efficient Computation of the Euler Number of a 2-D Binary Image. In: Sidorov, G., Herrera-Alcántara, O. (eds) Advances in Computational Intelligence. MICAI 2016. Lecture Notes in Computer Science(), vol 10061. Springer, Cham. https://doi.org/10.1007/978-3-319-62434-1_33
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