1 citations · 3 across the 3 of their papers we have counts for
7 papers
Approximation of surface diffusion flow: a second order variational Cahn--Hilliard model with degenerate mobilities
Elie Bretin, Simon Masnou, Arnaud Sengers +1
This paper tackles the approximation of surface diffusion flow using a Cahn--Hilliard-type model. We introduce and analyze a new second order variational phase field model which as…
Connected perimeter of planar sets
François Dayrens, Simon Masnou, Matteo Novaga +1
We introduce a notion of connected perimeter for planar sets defined as the lower semi-continuous envelope of perimeters of approximating sets which are measure-theoretically conne…
Weak and approximate curvatures of a measure: a varifold perspective
Blanche Buet, Gian Paolo Leonardi, Simon Masnou
By revisiting the notion of generalized second fundamental form originally introduced by Hutchinson for a special class of integral varifolds, we define a weak curvature tensor tha…
Higher-Order Total Directional Variation: Analysis
Simone Parisotto, Simon Masnou, Carola-Bibiane Schönlieb
We analyse a new notion of total anisotropic higher-order variation which, differently from the Total Generalized Variation by Bredies et al., quantifies for possibly non-symmetric…
Higher-Order Total Directional Variation: Imaging Applications
Simone Parisotto, Jan Lellmann, Simon Masnou +1
We introduce a class of higher-order anisotropic total variation regularisers, which are defined for possibly inhomogeneous, smooth elliptic anisotropies, that extends the Total Ge…
A linear framework for region-based image segmentation and inpainting involving curvature penalization
Thomas Schoenemann, Fredrik Kahl, Simon Masnou +1
We present the first method to handle curvature regularity in region-based image segmentation and inpainting that is independent of initialization. To this end we start from a new…