Affine morphological multiscale analysis of corners and multiple junctions

In this paper we study the application of the Affine Morphological Scale Space (AMSS) to the analysis of singularities (corners or multiple junctions) of the shapes present in a 2-D image. We introduce a new family of travelling wave solutions of AMSS which determines the evolution of the initial shapes given by conics. We characterize the evolution of corners accross the scales according to their angle, We develop a numerical algorithm to compute AMSS accross the scales and we present some experimental results about corners and multiple junction detection.