In this paper we introduce a novel edge-based, implicit approach for single object segmentation in 3D images. From a couple of curves, traced by the user on the object to be segmented, we implicitly generate a surface that contains the set of minimal paths joining them. These paths are minimal with respect to a cost function that takes lower values on the object to be extracted, hence they are within a small distance from it. Unlike other variational approaches, our method is not concerned with local minima traps. Our algorithm has been successfully applied to 3D medical images and synthetic images.
Roberto Ardon, Laurent D. Cohen, Anthony J. Yezzi