Calculus of Variations and Geometric Measure Theory

A. Braides - R. March

Approximation by $\Gamma$-convergence of a curvature-depending functional in Visual Reconstruction

created on 30 Jun 2004
modified by braidesa on 03 Nov 2005


Published Paper

Inserted: 30 jun 2004
Last Updated: 3 nov 2005

Journal: Comm. Pure Appl. Math.
Volume: 59
Number: 1
Pages: 71-121
Year: 2006


We prove an approximation by elliptic functionals of a free-discontinuity energy in 2D introduced by Terzopoulos to treat some problems in Visual Reconstruction, that takes into account the curvature and the number of endpoints of the unknown discontinuity set.

Keywords: Gamma-convergence, Computer Vision, approximation, Visual Reconstruction