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International audienceIn this paper, we present an algorithm which allows to compute  efficiently generators of the first homology group of a closed  surface, orientable or not. Starting with an initial subdivision of  a surface, we simplify it to its minimal form (minimal refers to the  number of cells), while preserving its homology. Homology generators  can thus be directly deduced from the minimal representation of the  initial surface.  Finally, we show how this algorithm can be used in  a 3D labelled image in order to compute homology of each region  described by its boundary

Computing Homology for Surfaces with Generalized Maps: Application to 3D Images