An Anisotropic Bimodal Energy for detection of thin tubes and its approximation with Γ-convergence
Résumé
This work is a contribution to the problem of detection of thin struc- tures, namely tubes, in a 2D or 3D image. We introduce a bimodal model for the case where the histogram of the image has two main modes. This model involves an energy functional depending on a function and a rie- mannian metric. One of the term of this energy is the anisotropic perime- ter associated to the dual metric. We perform an approximation of this functional and prove it Γ-converges to the original one.
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