An anisotropic bimodal energy for the segmentation of thin tubes and its approximation with Γ-convergence
Abstract
This work is a contribution to the problem of detection of thin structures, namely tubes, in a 2D or 3D image. We introduce a variational bimodal model for the case where the histogram of the image has two main modes. This model involves an energy functional that depends on a function and a Riemannian metric. One of the terms of this energy is the anisotropic perimeter associated to the dual metric. We perform an approximation of this functional and prove that it Γ-converges to the original one.
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© 2016 by De Gruyter
Artikel in diesem Heft
- Frontmatter
- The one-dimensional model for d-cones revisited
- Noether’s theorem and the Willmore functional
- An anisotropic bimodal energy for the segmentation of thin tubes and its approximation with Γ-convergence
- Regularity results for solutions to the c-Plateau problem with free boundary having small singular set, and generally in codimension zero
- On linear degenerate elliptic PDE systems with constant coefficients
- Notions of affinity in calculus of variations with differential forms
Artikel in diesem Heft
- Frontmatter
- The one-dimensional model for d-cones revisited
- Noether’s theorem and the Willmore functional
- An anisotropic bimodal energy for the segmentation of thin tubes and its approximation with Γ-convergence
- Regularity results for solutions to the c-Plateau problem with free boundary having small singular set, and generally in codimension zero
- On linear degenerate elliptic PDE systems with constant coefficients
- Notions of affinity in calculus of variations with differential forms
