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Title: Joint ptycho-tomography reconstruction through alternating direction method of multipliers

Abstract

We present the extension of ptychography forthree-dimensional object reconstruction in a tomography setting. We describe the alternating direction method of multipliers (ADMM) as a generic reconstruction framework to efficiently solve the nonlinear optimization problem. In this framework, the ADMM breaks the joint reconstruction problem into two well-defined subproblems: ptychographic phase retrieval and tomographic reconstruction. In this paper, we use the gradient descent algorithm to solve both problems and demonstrate the efficiency of the proposed approach through numerical simulations. Further, we show that the proposed joint approach relaxes existing requirements for lateral probe overlap in conventional ptychography. Thus, it can allow more flexible data acquisition.

Authors:
ORCiD logo [1];  [2]; ORCiD logo [1];  [1];  [1]; ORCiD logo [3]
  1. Argonne National Lab. (ANL), Lemont, IL (United States)
  2. Argonne National Lab. (ANL), Lemont, IL (United States); Max IV Laboratory, Lund (Sweden)
  3. Northwestern Univ., Evanston, IL (United States)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC); Swedish Research Council (SRC)
OSTI Identifier:
1499836
Alternate Identifier(s):
OSTI ID: 1510486
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Published Article
Journal Name:
Optics Express
Additional Journal Information:
Journal Volume: 27; Journal Issue: 6; Journal ID: ISSN 1094-4087
Publisher:
Optical Society of America (OSA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING

Citation Formats

Aslan, Selin, Nikitin, Viktor, Ching, Daniel J., Bicer, Tekin, Leyffer, Sven, and Gürsoy, Doğa. Joint ptycho-tomography reconstruction through alternating direction method of multipliers. United States: N. p., 2019. Web. doi:10.1364/OE.27.009128.
Aslan, Selin, Nikitin, Viktor, Ching, Daniel J., Bicer, Tekin, Leyffer, Sven, & Gürsoy, Doğa. Joint ptycho-tomography reconstruction through alternating direction method of multipliers. United States. doi:10.1364/OE.27.009128.
Aslan, Selin, Nikitin, Viktor, Ching, Daniel J., Bicer, Tekin, Leyffer, Sven, and Gürsoy, Doğa. Thu . "Joint ptycho-tomography reconstruction through alternating direction method of multipliers". United States. doi:10.1364/OE.27.009128.
@article{osti_1499836,
title = {Joint ptycho-tomography reconstruction through alternating direction method of multipliers},
author = {Aslan, Selin and Nikitin, Viktor and Ching, Daniel J. and Bicer, Tekin and Leyffer, Sven and Gürsoy, Doğa},
abstractNote = {We present the extension of ptychography forthree-dimensional object reconstruction in a tomography setting. We describe the alternating direction method of multipliers (ADMM) as a generic reconstruction framework to efficiently solve the nonlinear optimization problem. In this framework, the ADMM breaks the joint reconstruction problem into two well-defined subproblems: ptychographic phase retrieval and tomographic reconstruction. In this paper, we use the gradient descent algorithm to solve both problems and demonstrate the efficiency of the proposed approach through numerical simulations. Further, we show that the proposed joint approach relaxes existing requirements for lateral probe overlap in conventional ptychography. Thus, it can allow more flexible data acquisition.},
doi = {10.1364/OE.27.009128},
journal = {Optics Express},
number = 6,
volume = 27,
place = {United States},
year = {2019},
month = {3}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1364/OE.27.009128

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Works referenced in this record:

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Reconstruction of an object from the modulus of its Fourier transform
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