Joint ptycho-tomography reconstruction through alternating direction method of multipliers
(2019) In Optics Express 27(6). p.9128-9143- Abstract
We present the extension of ptychography for three-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... (More)
We present the extension of ptychography for three-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.
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- author
- Aslan, Selin ; Nikitin, Viktor LU ; Ching, Daniel J. ; Bicer, Tekin ; Leyffer, Sven and Gürsoy, Doga
- organization
- publishing date
- 2019
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Optics Express
- volume
- 27
- issue
- 6
- pages
- 16 pages
- publisher
- Optical Society of America
- external identifiers
-
- pmid:31052722
- scopus:85063535017
- ISSN
- 1094-4087
- DOI
- 10.1364/OE.27.009128
- language
- English
- LU publication?
- yes
- id
- bfb9c3a1-e16b-476c-9f74-cfb18c8b31ba
- date added to LUP
- 2019-04-11 10:54:32
- date last changed
- 2024-09-17 17:49:48
@article{bfb9c3a1-e16b-476c-9f74-cfb18c8b31ba, abstract = {{<p>We present the extension of ptychography for three-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.</p>}}, author = {{Aslan, Selin and Nikitin, Viktor and Ching, Daniel J. and Bicer, Tekin and Leyffer, Sven and Gürsoy, Doga}}, issn = {{1094-4087}}, language = {{eng}}, number = {{6}}, pages = {{9128--9143}}, publisher = {{Optical Society of America}}, series = {{Optics Express}}, title = {{Joint ptycho-tomography reconstruction through alternating direction method of multipliers}}, url = {{http://dx.doi.org/10.1364/OE.27.009128}}, doi = {{10.1364/OE.27.009128}}, volume = {{27}}, year = {{2019}}, }