Before revision: In this paper, we introduce a generalized asymmetric fronts propagation model based on the geodesic dis- tances with applications to image segmentation. The key ingredient of the fronts propagation and the computation of the geodesic distances is the construction of the metrics.
After revision: In this paper, we introduce a generalized asymmetric fronts propagation model based on the geodesic distances and Eikonal partial differential equations. One of the key ingredients for the computation of the geodesic distances is the construction of the metrics.