%0 Generic %D 2010 %T Computing Homology Groups in Binary 2D Imagery by Tissue-like P Systems %A Daniel Díaz-Pernil %A Miguel A. Gutiérrez-Naranjo %A Pedro Real %A Vanesa Sánchez-Canales %C Bucureşti, România %I EDITURA ACADEMIEI ROMÂNE %N 2 %P 141-152 %U http://www.imt.ro/romjist/Volum13/Number13_2/abstracts.htm#4 %V 13 %X We present a new solution for the Homology Groups of Binary 2D Image (HGB2I) Problem by using Membrane Computing techniques. This is a classical problem in Homology Theory which tries to calculate the number of connected components and the representative curves of the holes of these components from a given binary 2D image. To this aim, we present a family of P systems which solves all the instances of the problem in the framework of Tissue-like P systems with catalysts. This is a new framework which combines the membrane structure and symport-antiport communication rules of tissue-like P systems with the power of catalysts. %8 09/2010