Abstract
This paper presents a new method for 2-D and 3-D shape retrieval based on geodesic signatures. These signatures are high dimen- sional statistical distributions computed by extracting several features from the set of geodesic distance maps to each point. The resulting high dimensional distributions are matched to perform retrieval using a fast approximate Wasserstein metric. This allows to propose a unifying frame- work for the compact description of planar shapes and 3-D surfaces.