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Nonlinear Phase Retrieval Using Projection Operator and Iterative Wavelet Thresholding
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DOI：10.1109/LSP.2012.2207113.png)
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Abstract
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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.
Keywords:
Inverse problems
phase retrieval
X-ray imaging
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