Convergence results for critical points of the one-dimensional Ambrosio-Tortorelli functional with fidelity term
Nam Q. Le · Advances in Differential Equations · 2010
In this paper, we show that critical points of the one-dimensional Ambrosio-Tortorelli functional with fidelity term converge to those of the corresponding Mumford-Shah functional, a famous model for image segmentation. Equi-partition and convergence of the energy-density are also derived.