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math.NA2014★ 8 cited
Inverse boundary value problem for the Helmholtz equation: Multi-level approach and iterative reconstruction
Elena Beretta, Maarten V. de Hoop, Lingyun Qiu +1
We study the inverse boundary value problem for the Helmholtz equation using the Dirichlet-to-Neumann map at selected frequency as the data. We develop an explicit reconstruction o…
math.NA2013★ 1 cited
A variational algorithm for the detection of line segments
E. Beretta, M. Grasmair, M. Muszkieta +1
In this paper we propose an algorithm for the detection of edges in images that is based on topological asymptotic analysis. Motivated from the Mumford--Shah functional, we conside…