Norm minimized Scattering Data from Intensity Spectra

Authors :: Seel, A.
Davtyan, A.
Pietsch, U.
Loffeld, O.
Source :: Math. Probl. Eng. 2016 (2016), 9853714
Publication Year :: 2015
Abstract: We apply the $l_1$ minimizing technique of compressive sensing (CS) to non-linear quadratic observations. For the example of coherent X-ray scattering we provide the formulae for a Kalman filter approach to quadratic CS and show how to reconstruct the scattering data from their spatial intensity distribution.<br />Comment: 26 pages, 10 figures, reordered sections