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Joint ptycho-tomography reconstruction through alternating direction method of multipliers

Aslan, Selin ; Nikitin, Viktor LU ; Ching, Daniel J. ; Bicer, Tekin ; Leyffer, Sven and Gürsoy, Doga (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
; ; ; ; and
organization
publishing date
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
  • scopus:85063535017
  • pmid:31052722
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
2024-04-30 04:35:45
@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}},
}