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An introduction to Total Variation for Image Analysis

- A. Chambolle, V. Caselles, M. Novaga, D. Cremers, T. Pock
- Physics
- 30 November 2009

These are the lecture notes of a course taught in Linz in Sept., 2009, at the school "summer school on sparsity", organized by Massimo Fornasier and Ronny Romlau. They address various theoretical and… Expand

The Total Variation Flow in RN

- G. Bellettini, V. Caselles, M. Novaga
- Mathematics
- 20 September 2002

The purpose of this chapter is to prove existence and uniqueness of the minimizing total variation flow in ℝ N
$$ \frac{{\partial u}} {{\partial t}} = div\left( {\frac{{Du}} {{\left| {Du}… Expand

The p-Laplace eigenvalue problem as p goes to 1 and Cheeger sets in a Finsler metric

We consider the p–Laplacian operator on a domain equipped with a Finsler metric. After deriving and recalling relevant properties of its first eigenfunction for p > 1, we investigate the limit… Expand

A characterization of convex calibrable sets in RN with respect to anisotropic norms

- V. Caselles, A. Chambolle, S. Moll, M. Novaga
- Mathematics
- 1 July 2008

On a Crystalline Variational Problem, Part I:¶First Variation and Global L∞ Regularity

- G. Bellettini, M. Novaga, Maurizio Paolini
- Mathematics
- 1 April 2001

Abstract:Let φ:ℝn→ [0,+∞[ be a given positively one-homogeneous convex function, and let ?φ≔{φ≤ 1 }. Pursuing our interest in motion by crystalline mean curvature in three dimensions, we introduce… Expand

Facet-breaking for three-dimensional crystals evolving by mean curvature

- G. Bellettini, M. Novaga, Maurizio Paolini
- Mathematics
- 30 June 1999

We show two examples of facet-breaking for three-dimensional polyhedral surfaces evolving by crystalline mean curvature. The analysis shows that creation of new facets during the evolution is a… Expand

The Discontinuity Set of Solutions of the TV Denoising Problem and Some Extensions

- V. Caselles, A. Chambolle, M. Novaga
- MathematicsMultiscale Model. Simul.
- 5 October 2007

The main purpose of this paper is to prove that the jump discontinuity set of the solution of the total variation based denoising problem is contained in the jump set of the datum to be denoised. We… Expand

Motion by Curvature of Planar Networks

- C. Mantegazza, M. Novaga, V. M. Tortorelli
- Mathematics
- 13 February 2003

We prove that the curvature flow of an embedded planar network of three curves connected through a triple junction, with fixed endpoints on the boundary of a given strictly convex domain, exists… Expand

Rigidity and sharp stability estimates for hypersurfaces with constant and almost-constant nonlocal mean curvature

- G. Ciraolo, A. Figalli, F. Maggi, M. Novaga
- MathematicsJournal für die reine und angewandte Mathematik…
- 2 March 2015

We prove that the boundary of a (not necessarily connected) bounded smooth set with constant nonlocal mean curvature is a sphere. More generally, and in contrast with what happens in the classical… Expand

Existence of Traveling Waves of Invasion for Ginzburg–Landau-type Problems in Infinite Cylinders

- M. Lucia, C. Muratov, M. Novaga
- Mathematics
- 3 April 2008

We study a class of systems of reaction–diffusion equations in infinite cylinders which arise within the context of Ginzburg–Landau theories and describe the kinetics of phase transformation in… Expand

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