Geodesic Paths for Image Segmentation with Implicit Region-based Homogeneity Enhancement

Minimal paths are considered as a powerful and efficient tool for boundary detection and image segmentation due to its global optimality and well-established numerical solutions such as fast marching algorithm. In this paper, we introduce a flexible interactive image segmentation model based on the minimal geodesic framework in conjunction with region-based homogeneity enhancement. A key ingredient in our model is the construction of Finsler geodesic metrics, which are capable of integrating anisotropic and asymmetric edge features, region-based homogeneity and/or curvature regularization. This is done by exploiting an implicit method to incorporate the region-based homogeneity information to the metrics used. Moreover, we also introduce a way to build objective simple closed contours, each of which is treated as the concatenation of two disjoint open paths. Experimental results prove that the proposed model indeed outperforms state-of-the-art minimal paths-based image segmentation approaches.