Geometric Potential Force for the Deformable Model

We propose a new external force field for deformable models which can be conveniently generalized to high dimensions. The external force field is based on hypothesized interactions between the relative geometries of the deformable model and image gradients. The evolution of the deformable model is solved using the level set method. The dynamic interaction forces between the geometries can greatly improve the deformable model performance in acquiring complex geometries and highly concave boundaries, and in dealing with weak image edges. The new deformable model can handle arbitrary cross-boundary initializations. Here, we show that the proposed method achieve significant improvements when compared against existing state-of-the-art techniques.