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Title: Blind Ptychographic Phase Retrieval via Convergent Alternating Direction Method of Multipliers

Abstract

Ptychography has risen as a reference X-ray imaging technique: it achieves resolutions of one billionth of a meter, macroscopic field of view, or the capability to retrieve chemical or magnetic contrast, among other features. A ptychographic reconstruction is normally formulated as a blind phase retrieval problem, where both the image (sample) and the probe (illumination) have to be recovered from phaseless measured data. In this article we address a nonlinear least squares model for the blind ptychography problem with constraints on the image and the probe by maximum likelihood estimation of the Poisson noise model. We formulate a variant model that incorporates the information of phaseless measurements of the probe to eliminate possible artifacts. Next, we propose a generalized alternating direction method of multipliers designed for the proposed nonconvex models with convergence guarantee under mild conditions, where their subproblems can be solved by fast el-ementwise operations. Numerically, the proposed algorithm outperforms state-of-the-art algorithms in both speed and image quality.

Authors:
ORCiD logo [1];  [2]; ORCiD logo [2]
  1. Tianjin Normal Univ., Tianjin (China)
  2. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1563992
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
SIAM Journal on Imaging Sciences
Additional Journal Information:
Journal Volume: 12; Journal Issue: 1; Journal ID: ISSN 1936-4954
Publisher:
Society for Industrial and Applied Mathematics
Country of Publication:
United States
Language:
English
Subject:
47 OTHER INSTRUMENTATION; blind ptychography; phase retrieval; alternating direction method of multipliers

Citation Formats

Chang, Huibin, Enfedaque, Pablo, and Marchesini, Stefano. Blind Ptychographic Phase Retrieval via Convergent Alternating Direction Method of Multipliers. United States: N. p., 2019. Web. doi:10.1137/18m1188446.
Chang, Huibin, Enfedaque, Pablo, & Marchesini, Stefano. Blind Ptychographic Phase Retrieval via Convergent Alternating Direction Method of Multipliers. United States. doi:10.1137/18m1188446.
Chang, Huibin, Enfedaque, Pablo, and Marchesini, Stefano. Tue . "Blind Ptychographic Phase Retrieval via Convergent Alternating Direction Method of Multipliers". United States. doi:10.1137/18m1188446. https://www.osti.gov/servlets/purl/1563992.
@article{osti_1563992,
title = {Blind Ptychographic Phase Retrieval via Convergent Alternating Direction Method of Multipliers},
author = {Chang, Huibin and Enfedaque, Pablo and Marchesini, Stefano},
abstractNote = {Ptychography has risen as a reference X-ray imaging technique: it achieves resolutions of one billionth of a meter, macroscopic field of view, or the capability to retrieve chemical or magnetic contrast, among other features. A ptychographic reconstruction is normally formulated as a blind phase retrieval problem, where both the image (sample) and the probe (illumination) have to be recovered from phaseless measured data. In this article we address a nonlinear least squares model for the blind ptychography problem with constraints on the image and the probe by maximum likelihood estimation of the Poisson noise model. We formulate a variant model that incorporates the information of phaseless measurements of the probe to eliminate possible artifacts. Next, we propose a generalized alternating direction method of multipliers designed for the proposed nonconvex models with convergence guarantee under mild conditions, where their subproblems can be solved by fast el-ementwise operations. Numerically, the proposed algorithm outperforms state-of-the-art algorithms in both speed and image quality.},
doi = {10.1137/18m1188446},
journal = {SIAM Journal on Imaging Sciences},
number = 1,
volume = 12,
place = {United States},
year = {2019},
month = {1}
}

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Works referencing / citing this record:

Advanced denoising for X-ray ptychography
journal, January 2019

  • Chang, Huibin; Enfedaque, Pablo; Zhang, Jie
  • Optics Express, Vol. 27, Issue 8
  • DOI: 10.1364/oe.27.010395