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.
Minimal paths are regarded as a powerful and efficient tool for boundary detection and image segmentation due to its global optimality and the well-established numerical solutions such as fast marching method . In this paper, we introduce a flexible interactive image segmentation model based on the Eikonal partial differential equation (PDE) framework in conjunction with region-based homogeneity enhancement. A key ingredient in the introduced model is the construction of local geodesic metrics, which are capable of integrating anisotropic and asymmetric edge features, implicit region-based homogeneity features and/or curvature regularization. The incorporation of the region-based homogeneity features into the metrics considered relies on an implicit representation of these features, which is one of the contributions of this work . Moreover, we also introduce a way to build simple closed contours as the concatenation of two disjoint open curves . Experimental results prove that the proposed model indeed outperforms state-of-the-art minimal paths-based image segmentation approaches.
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minimal geodesic
Eikonal partial differential equation (PDE)
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This is done by exploiting an implicit method to incorporate
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information to the metrics used
features into the metrics considered relies on an implicit representation of these features, which is one of the contributions of this work
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