Resumen de Esqueletización digital sobre la geometría de dos complejos celulares.

Alfredo Trejo, Leonardo Herrera, Roberto Castro, Miguel Martínez

• This work presents studies within two areas of mathematics, which are related to Digital Image Processing, in particular, with skeletonization: Digital Topology and Digital Geometry. A thinning algorithm proposed in 2001 by Kovalevsky, for binary digital two-dimensional images modelled by cell complexes, is applied and studied using both the hexagonal and the quadratic cell complexes. For the hexagonal and quadratic cell complex, Kovalevsky�s algorithm is developed and implemented as a patter matching method in this work. The skeletons obtained in various experiments are analyzed with respect to topological and geometrical properties and they are compared with Blum`s skeleton.