%0 Electronic Article %A Juan Humberto Sossa Azuela %+ Department of Computer Science, Instituto Politécnico Nacional-Centro de Investigación en Computación, Av. Juan de Dios Bátiz s/n, México, DF, 07738, Mexico %A Elsa Rubio Espino %+ Department of Computer Science, Instituto Politécnico Nacional-Centro de Investigación en Computación, Av. Juan de Dios Bátiz s/n, México, DF, 07738, Mexico %A Raúl Santiago %+ Department of Computer Science, Instituto Tecnológico de León, Av. Tecnológico S/N, Frac. Julián de Obregón, León, Guanajuato, Mexico %A Alejandro López %+ Department of Computer Science, Instituto Tecnológico de León, Av. Tecnológico S/N, Frac. Julián de Obregón, León, Guanajuato, Mexico %A Alejandro Peña Ayala %+ WOLNM, 31 Julio 1859 # 1099-B, Leyes Reforma, DF, 09310, Mexico %+ Department of Electronics Engineering, ESIME Zacatenco, Instituto Politécnico Nacional, U. Profesional Adolfo López Mateos, Edificio Z-4. 2do piso, Cubículo 6, Miguel Othón de Mendizábal S/N, La Escalera, DF, 07320, Mexico %A Erik V. Cuevas Jimenez %+ Department of Electronics Engineering, Centro Universitario de Ciencias Exactas e Ingenierías (CUCEI)-UDEG, Av. Revolución 1500. Col. Olímpica C.P.. Guadalajara, Jal 44430, Mexico %K connectivity properties %K topological information %K arithmetic operation %K binary digital image %K feature extraction %K binary shape Euler number %K image database %K pixel geometry %K shape pixels %X The authors propose two equations based on the pixel geometry and connectivity properties, which can be used to compute, efficiently, the Euler number of a binary digital image with either thick or thin boundaries. Although computing this feature, the authors’ technique extracts the underlying topological information provided by the shape pixels of the given image. The correctness of computing the Euler number using the new equations is also established theoretically. The performance of the proposed method is compared against other available alternatives. Experimental results on a large image database demonstrate that the authors technique for computing the Euler number outperforms the earlier approaches significantly in terms of the number of basic arithmetic operations needed per pixel. Both equations are specialised only for 4-connectivity cases. %@ 1751-9632 %T Alternative formulations to compute the binary shape Euler number %B IET Computer Vision %D June 2014 %V 8 %N 3 %P 171-181 %I Institution of Engineering and Technology %U https://digital-library.theiet.org/;jsessionid=35bkb2c2glmr8.x-iet-live-01content/journals/10.1049/iet-cvi.2013.0076 %G EN