A Duality Based Algorithm for TV- L 1-Optical-Flow Image Registration

Nonlinear image registration is a challenging task in the field of medical image analysis. Intensity based registration is based on the entire image information and generates a dense displacement field. In many applications discontinuities may be present in the displacement field, and intensity variations may occur. In this work we utilize an en- ergy functional which is based on Total Variation regularization and a robust data term. We propose a novel, fast and stable numerical scheme to find the minimizer of this energy. Our approach combines a fixed-point procedure derived from duality principles combined with a fast thresh- olding step. We show experimental results on synthetic and clinical CT lung data sets at dierent breathing states as well as registration results on inter-subject brain MRIs.