A topological method for shape comparison

We develop a topology-based method which can be used as a measure of the dissimilarity between shapes. For us, a shape is a point cloud dataset in Euclidean space. In the experiments described in this paper a shape comes with a particular choice of triangulation (mesh). However, the method can be applied to a more general situation when no particular triangulation is given. We test our method on a database of models achieving only a minor misclassification error.