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math.AP2025
Total variation flow of curves in Riemannian manifolds
Lorenzo Giacomelli, MichaÅ Åasica, Salvador Moll
We consider the functional of total variation of maps from an interval into a Riemannian submanifold of . We define a notion of strong solution to the system of equati…
math.AP2024
Inclusion and estimates for the jumps of minimizers in variational denoising
Antonin Chambolle, MichaÅ Åasica
We study stability and inclusion of the jump set of minimizers of convex denoising functionals, such as the celebrated "Rudin-Osher-Fatemi" functional, for scalar or vectorial sign…