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Rapport Année : 2014

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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Dates et versions

hal-01006255 , version 1 (14-06-2014)
hal-01006255 , version 2 (17-06-2014)
hal-01006255 , version 3 (23-09-2014)

Identifiants

  • HAL Id : hal-01006255 , version 3

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David Vicente. An Anisotropic Bimodal Energy for detection of thin tubes and its approximation with Γ-convergence. 2014. ⟨hal-01006255v3⟩
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