Application of algebraic topology to fingerprint recognitiony

Alejandro Valdés Camejo, Javier Lamar León

Resumen


In the present work, an algorithm for fingerprints verification based on an application of the algebraic topology is presented. Specifically, we propose a representation of impressions as simplicial complexes and the definition of local structures based on local filtrations ordering from the complexes. This filtrations are determined by neighboring minutiae. It is also proposed the extraction of a set of features based on the analysis of the homology variation in these filtrations. The features combine information about the quantity and connectivity of papillary ridges in the local structures. In addition, a matching method based on the extracted topological information is presented. This paper shows that this information is discriminative and can be used in combination with classic geometric features to improve the description of local structures of the impressions and the accuracy in the comparison.


Palabras clave


homology, fingerprints, topology, verification

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