4 papers
Discretization and regularization for the reconstruction of inhomogeneities by scattering measurements
Daniela Di Donato, Luca Rondi
We consider the inverse problem of reconstructing inhomogeneities by performing a finite number of scattering measurements of acoustic type in the time-harmonic setting. We set up…
On the optimality of convergence conditions for multiscale decompositions in imaging and inverse problems
Simone Rebegoldi, Luca Rondi
We consider the multiscale procedure developed by Modin, Nachman and Rondi, Adv. Math. (2019), for inverse problems, which was inspired by the multiscale decomposition of images by…
A counterexample to convergence for multiscale decompositions
Simone Rebegoldi, Luca Rondi
We discuss the convergence of the multiscale procedure by Modin, Nachman and Rondi, Adv. Math. (2019), which extended to inverse problems the multiscale decomposition of images by…
A variational approach to the inverse photolithography problem
Luca Rondi, Fadil Santosa, Zhu Wang
Photolithography is a process in the production of integrated circuits in which a mask is used to create an exposed pattern with a desired geometric shape. In the inverse problem o…