A fractional-order decomposition model of image registration and its numerical algorithm

To overcome the weakness of TV based image registration models, we propose a fractional-order decomposition model for image registration. In this model, deformation is decomposed into two components: discontinuous component and smooth component. The fractional-order total variation regularization and higher order regularization are added on these two components, respectively. Furthermore, a numerical algorithm is proposed to solve this model. Numerical tests are also performed to show the efficiency of the proposed model.