Region Matching and Tracking under Deformations or Occlusions
We present a variational approach to the problem of registering nonequivalent shapes with missing parts. Registration is achieved through the evolution of partial differential equations that simultaneously estimates the shape of the missing region, the underlying “average complete shape” and the collection of group elements (Euclidean or affine) performing the registration. Our techniques apply both to shapes, for instance represented as characteristic functions (binary images), and to grayscale images, where all intensity levels evolve simultaneously in a system of partial differential equations.