19 citations · 78 across the 31 of their papers we have counts for
4 papers · 1 filter
Separation Surfaces in the Spectral TV Domain for Texture Decomposition
Dikla Horesh, Guy Gilboa
In this paper we introduce a novel notion of separation surfaces for image decomposition. A surface is embedded in the spectral total-variation (TV) three dimensional domain and en…
Semi-Inner-Products for Convex Functionals and Their Use in Image Decomposition
Guy Gilboa
Semi-inner-products in the sense of Lumer are extended to convex functionals. This yields a Hilbert-space like structure to convex functionals in Banach spaces. In particular, a ge…
Nonlinear Spectral Analysis via One-homogeneous Functionals - Overview and Future Prospects
Guy Gilboa, Michael Moeller, Martin Burger
We present in this paper the motivation and theory of nonlinear spectral representations, based on convex regularizing functionals. Some comparisons and analogies are drawn to the…
Spectral Representations of One-Homogeneous Functionals
Martin Burger, Lina Eckardt, Guy Gilboa +1
This paper discusses a generalization of spectral representations related to convex one-homogeneous regularization functionals, e.g. total variation or -norms. Those functi…