Abstract

We apply a nonlocal adaptive spectral transform for sparse modeling of phase and amplitude of a coherent wave field. The reconstruction of this wave field from complex-valued Gaussian noisy observations is considered. The problem is formulated as a multiobjective constrained optimization. The developed iterative algorithm decouples the inversion of the forward propagation operator and the filtering of phase and amplitude of the wave field. It is demonstrated by simulations that the performance of the algorithm, both visually and numerically, is the current state of the art.

© 2011 Optical Society of America

Phase retrieval via spatial light modulator phase modulation in 4f optical setup: numerical inverse imaging with sparse regularization for phase and amplitude

Vladimir Katkovnik and Jaakko Astola
J. Opt. Soc. Am. A 29(1) 105-116 (2012)

Wavefront reconstruction in phase-shifting interferometry via sparse coding of amplitude and absolute phase

V. Katkovnik and J. Bioucas-Dias
J. Opt. Soc. Am. A 31(8) 1801-1810 (2014)

Wave field reconstruction from multiple plane intensity-only data: augmented Lagrangian algorithm

Artem Migukin, Vladimir Katkovnik, and Jaakko Astola
J. Opt. Soc. Am. A 28(6) 993-1002 (2011)

Compressive sensing computational ghost imaging

Vladimir Katkovnik and Jaakko Astola
J. Opt. Soc. Am. A 29(8) 1556-1567 (2012)

Sparse ptychographical coherent diffractive imaging from noisy measurements

Vladimir Katkovnik and Jaakko Astola
J. Opt. Soc. Am. A 30(3) 367-379 (2013)