3 papers
math.AP2026
Superlinear free-discontinuity models: relaxation and phase-field approximation
Sergio Conti, Matteo Focardi, Flaviana Iurlano
In this paper we develop the Direct Method in the Calculus of Variations for free-discontinuity energies whose bulk and surface densities exhibit superlinear growth, respectively f…
math.NA2025
SDFs from Unoriented Point Clouds using Neural Variational Heat Distances
Samuel Weidemaier, Florine Hartwig, Josua Sassen +3
We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from unoriented point clouds. To this end, we replace the commonly used eikonal equation w…
math.AP2025
Affine rigidity of functions with additive oscillation
Adolfo Arroyo-Rabasa, Sergio Conti
We prove that a locally integrable function must be affine if its mean oscillation, considered as a function of intervals, can be extended to a locally fini…