High order recovery of geometric interfaces from cell-average data

Albert Cohen, Olga Mula, Agustín Somacal

We consider the problem of recovering characteristic functions $u:=\ddot{I}{‡}_{\hat{I}}\text{c◯}$ from cell-average data on a coarse grid, and where $\hat{I}\text{c◯}$ is a compact set of ${\mathbb{R}}^d$. This task aris…