Norm-Minimized Scattering Data from Intensity Spectra

Alexander Seel, Arman Davtyan, Ullrich Pietsch, Otmar Loffeld
2016 Mathematical Problems in Engineering  
We apply thel1minimizing technique of compressive sensing (CS) to nonlinear quadratic observations. For the example of coherent X-ray scattering we provide the formulas for a Kalman filter approach to quadratic CS and show how to reconstruct the scattering data from their spatial intensity distribution.
doi:10.1155/2016/9853714 fatcat:6cckxziuzbfoheyc35ogptuwjm