51 citations · 388 across the 44 of their papers we have counts for
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cs.IT2017★ 51 cited
Infinite dimensional compressed sensing from anisotropic measurements and applications to inverse problems in PDE
Giovanni S. Alberti, Matteo Santacesaria
We consider a compressed sensing problem in which both the measurement and the sparsifying systems are assumed to be frames (not necessarily tight) of the underlying Hilbert space…
math.AP2017★ 39 cited
Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT
Elena Beretta, Stefano Micheletti, Simona Perotto +1
In this paper, we develop a shape optimization-based algorithm for the electrical impedance tomography (EIT) problem of determining a piecewise constant conductivity on a polygonal…