A New Equation for Nonlinear Image Registration with Control over the Vortex Structure in the Displacement Field

The goal of nonparametric image registration lies in the solution of highly nonlinear partial differential equations. We present a new partial differential equation for the nonlinear image registration that can be used for the registration of images with textured and complex shaped motifs. The new equation allows to control the vortex structure in the registration field. For many image registration problems, the required transformation should not contain vortices. The application field of the new equation is not restricted to biomedical imaging.