We consider the problem of comparing deformable 3D objects represented by graphs, i.e., triangular tessellations. We propose a new algorithm to measure the distance between triangular tessellations using a new decomposition of triangular tessellations into triangle-Stars. The proposed algorithm assures a minimum number of disjoint triangle-Stars, offers a better measure by covering a larger neighborhood and uses a set of descriptors which are invariant or at least oblivious under most common deformations. We prove that the proposed distance is a pseudo-metric. We analyse its time complexity and we present a set of experimental results which confirm the high performance and accuracy of our algorithm.