Abstract:
Abstract
This paper proposes a natural and e±cient way to achieve staircase reduction in texture extrac-
tion models of image processing. Moreover, we propose a precise framework for this amalgamation.
In a sense, we utilize the best of both worlds: (I) the use of higher order derivatives through a
variant of the Chambolle-Lions inf convolution energy (an image decomposition model in itself)
along with (II) approximations to Meyer's G and E norms including the H¡1 negative norm for
ameliorating staircasing in image decomposition and restoration problems.