TY - JOUR
T1 - Computing the euler number of a binary image based on a vertex codification
AU - Sossa-Azuela, J. H.
AU - Santiago-Montero, R.
AU - Pérez-Cisneros, M.
AU - Rubio-Espino, E.
N1 - Funding Information:
R. Santiago and M. Pérez thank the ITL and the UDEG, respectively, for the support. H. Sossa thanks SIP-IPN and CONACYT for the economical supports under grants 20121311, 20131182 and 155014, respectively. E. Rubio thanks SIP-IPN for the support under grant 20131505. We all thank the reviewers for their comments on the improvement of this paper.
PY - 2013/6
Y1 - 2013/6
N2 - 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.
AB - 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.
KW - Binary shape description
KW - Euler number
KW - Topological descriptor
KW - Topological invariant
UR - http://www.scopus.com/inward/record.url?scp=84881178632&partnerID=8YFLogxK
U2 - 10.1016/S1665-6423(13)71546-3
DO - 10.1016/S1665-6423(13)71546-3
M3 - Artículo
SN - 1665-6423
VL - 11
SP - 360
EP - 370
JO - Journal of Applied Research and Technology
JF - Journal of Applied Research and Technology
IS - 3
ER -