On the Monge-Kantorovich problem and image warping

Image registration is the process of establishing a common geometric reference frame between two or more data sets from the same or different imaging modalities possibly taken at different times. In the context of medical imaging and in particular image guided therapy, the registration problem consists of finding automated methods that align multiple data sets with each other and with the patient. In this paper we propose a method of elastic registration based on the Monge-Kantorovich problem of optimal mass transport.