Geometric signal processing and applications to brain mapping

Discusses spatial transformation techniques for multidimensional image registration. Examples from brain mapping are given. The authors illustrate the problem by reviewing point matching, which is the 'gold standard' in this area. The point matching formulation is not adequate for all applications, and they describe various extensions and generalizations. One important issue is multi-set registration, others are more general nonlinear models, as well as the problems of registration on the basis of intensity data and when the geometrical objects to be registered are curves, surfaces, or volumes. This leads to many interesting problems that deserve further study. Finally, the authors discuss the accuracy in registration.