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Nonlinear Phase Retrieval Using Projection Operator and Iterative Wavelet Thresholding

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4 Author(s)
Valentina Davidoiu ; CREATIS, CNRS UMR5220; Inserm U630; INSA-Lyon; Université Lyon 1; Université de Lyon, Villeurbanne Cedex, France ; Bruno Sixou ; Max Langer ; Fran├žoise Peyrin

With hard X-rays synchrotron beams, phase contrast can be obtained with the measurement of the Fresnel diffraction intensity patterns associated to a phase shift induced by the object. We have studied the resolution of this inverse problem with an iterative thresholding algorithm in wavelet coordinates combined with an iterative nonlinear method with a Tikhonov regularization and projection operators. The phase retrieval algorithm was tested for a 3D Shepp-Logan phantom in the presence of noise. The results show that the combined approach outperforms the Mixed, the CTF and the nonlinear methods.

Published in:

IEEE Signal Processing Letters  (Volume:19 ,  Issue: 9 )