A shape distance by complete and stable invariant descriptors for contour tracking

We consider the problem of comparing geometric objects in order to determine the extent to which one object resembles another. Invariant feature families are presented. A complete and stable set of invariant features has been applied to define all invariant distance in the shapes space. This distance allows us to detect and follow moving objects in a dynamic scene. In order to evaluate the performance of such a metric, experimental results are given.