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

doi:10.1117/1.OE.57.5.053108

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 +

Optical Engineering, Vol. 57, Issue 5, 053108 (May 2018). https://doi.org/10.1117/1.OE.57.5.053108

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.

Citation Download Citation

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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