Calculus of Variations and Geometric Measure Theory

M. Carriero - A. Leaci - F. Tomarelli

Necessary Conditions for Extremals of Blake & Zisserman Functional

created on 21 Nov 2001
modified by leaci on 23 Sep 2009


Published Paper

Inserted: 21 nov 2001
Last Updated: 23 sep 2009

Journal: C. R. Math. Acad. Sci. Paris,
Volume: 334
Pages: 343-348
Year: 2002


We show some necessary conditions for minimizers of a functional depending on free discontinuities, free gradient discontinuities and second derivatives, which is related to image segmentation. A candidate for minimality of main part of the functional is explicitly exhibited.

Keywords: free discontinuity problems, Image segmentation, second order functionals, necessary condition for minimality