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math.AP2018
Quantitative analysis of finite-difference approximations of free-discontinuity problems
Annika Bach, Andrea Braides, Caterina Ida Zeppieri
Motivated by applications to image reconstruction, in this paper we analyse a \emph{finite-difference discretisation} of the Ambrosio-Tortorelli functional. Denoted by $\varepsilon…
math.AP2018
-limit of the cut functional on dense graph sequences
Andrea Braides, Paolo Cermelli, Simone Dovetta
A sequence of graphs with diverging number of nodes is a dense graph sequence if the number of edges grows approximately as for complete graphs. To each such sequence a function, c…