14 May 2018 Adaptive weighted total variation regularized phase retrieval in differential phase-contrast imaging
Yan Wang, Wanxia Huang, Qili He, Zhongzhu Zhu, Jin Zhang, Qingxi Yuan, Kai Zhang, Peiping Zhu
Author Affiliations +
Funded by: National Natural Science Foundation of China (NSFC), Natural Science Foundation of China, National Key Research and Development Program of China, Institute of High Energy Physics, Chinese Academy of Sciences
Abstract
Phase retrieval with unidirectional differential phase-contrast image requires integration with noisy data, which is an illposed inverse problem. Conventional direct integration method would result in severe streak artifacts. Total variation (TV) regularization-based method would reduce the streak artifacts, but the edges parallel with phase-contrast sensitivity direction are likely to be over smoothed. We propose an improved weighted TV regularization phase retrieval method by introducing a weighting factor to the conventional TV term. When applied to simulation and experimental data, this method shows an advantage of preserving the sharpness of the edges while preserving the ability of reducing streak artifacts compared with conventional TV-regularization method.
© 2018 Society of Photo-Optical Instrumentation Engineers (SPIE) 0091-3286/2018/$25.00 © 2018 SPIE
Yan Wang, Wanxia Huang, Qili He, Zhongzhu Zhu, Jin Zhang, Qingxi Yuan, Kai Zhang, and Peiping Zhu "Adaptive weighted total variation regularized phase retrieval in differential phase-contrast imaging," Optical Engineering 57(5), 053108 (14 May 2018). https://doi.org/10.1117/1.OE.57.5.053108
Received: 8 February 2018; Accepted: 27 April 2018; Published: 14 May 2018
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CITATIONS
Cited by 2 scholarly publications.
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KEYWORDS
Phase retrieval

X-rays

Image filtering

Image retrieval

Inverse problems

Refraction

X-ray imaging

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