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.
- Publication Date:
- Research Org.:
- Argonne National Laboratory (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 Name: Optics Express 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. https://doi.org/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. https://doi.org/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 = {Thu Mar 14 00:00:00 EDT 2019},
month = {Thu Mar 14 00:00:00 EDT 2019}
}
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https://doi.org/10.1364/OE.27.009128
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Cited by: 18 works
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