AurĂa Rasclosa, Anna
Carrillo, Rafael
Wiaux, Yves
A convex optimization approach for image recovery from nonlinear measurements in optical interferometry
Image recovery in optical interferometry is an ill-posed nonlinear inverse problem arising from incomplete power spectrum and bi-spectrum measurements. We formulate a linear version of the problem for the order-3 tensor formed by the tensor product of the signal with itself. This linear problem is regularized by standard convex \ell_1 relaxations of sparsity and low rank constraints and solved using the most advanced algorithms in convex optimization. We show preliminary results on small size synthetic images as a proof of concept.
Optical Interferometry;
Convex optimization;
CIBM-SPC;
LTS2;
LTS5;
2013
http://baspfrontiers.epfl.ch/proceedings.php;
http://infoscience.epfl.ch/record/183885/files/auriaBASP2013.pdf;