Inserted: 21 nov 2001
Last Updated: 23 sep 2009
Journal: C. R. Math. Acad. Sci. Paris,
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