Joint ptycho-tomography reconstruction through alternating direction method of multipliers

Aslan, Selin; Никитин, В. В.; Ching, Daniel J.; Biçer, Tekin; Gürsoy, Doğa

doi:10.1364/oe.27.009128

Cited by 30 publications

(23 citation statements)

References 69 publications

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“…An in-depth discussion of ADMM can be found in the monography by Boyd et al [28], and its application for ptychography were reported in previous publications [12,18]. Recently it was applied for joint ptycho-tomography reconstruction [29]. Thus, here we skip the derivation process.…”

Section: Alternating Direction Methods Of Multipliermentioning

confidence: 99%

Ptychographic phase retrieval by proximal algorithms

Yan

2020

New J. Phys.

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We derive a set of ptychography phase-retrieval iterative engines based on proximal algorithms originally developed in convex optimization theory, and discuss their connections with existing ones. The use of proximal operator creates a simple frame work that allows us to incorporate the effect of noise from a maximum-likelihood (ML) principle. We focus on three particular algorithms, namely proximal minimization, alternating direction method of multiplier and accelerated proximal gradient (APG). We benchmark their performance with numerical simulations, and discuss their optimal conditions for convergence and accuracy. An experimental dataset is used to demonstrate their effectiveness as well, in which case an array of cubic Au nanoparticles with a size of 50 nm is imaged. We show that with the presence of Poisson noise, a dataset with photon counts up to 10 4 at one detector pixel already requires ML-based methods to achieve a stable convergence. Among the three algorithms derived in this work, APG method is reported first time for its application in ptychographic reconstruction and shows superior performance in terms of both accuracy and convergence rate with a noisy dataset.

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Section: Alternating Direction Methods Of Multipliermentioning

confidence: 99%

Ptychographic phase retrieval by proximal algorithms

Yan

2020

New J. Phys.

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“…Scanning the same area with fewer steps means fewer diffraction patterns are recorded, which results in a reduced computing demand. The number of diffraction patterns needed could even be decreased further by undersampling the recorded projections but reconstructing them all together using coupled ptychographic computed tomography schemes (Gü rsoy, 2017; Kahnt et al, 2019;Ramos et al, 2019;Aslan et al, 2019;Nikitin et al, 2019). This approach would, on the other hand, also increase the computing demand again, as all recorded diffraction pattens are used at the same time to reconstruct the volume.…”

Section: Figurementioning

confidence: 99%

First ptychographic X-ray computed tomography experiment on the NanoMAX beamline

et al. 2020

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Ptychographic X-ray computed tomography is a quantitative three-dimensional imaging technique offered to users of multiple synchrotron radiation sources. Its dependence on the coherent fraction of the available X-ray beam makes it perfectly suited to diffraction-limited storage rings. Although MAX IV is the first, and so far only, operating fourth-generation synchrotron light source, none of its experimental stations is currently set up to offer this technique to its users. The first ptychographic X-ray computed tomography experiment has therefore been performed on the NanoMAX beamline. From the results, information was gained about the current limitations of the experimental setup and where attention should be focused for improvement. The extracted parameters in terms of scanning speed, size of the imaged volume and achieved resolutions should provide a baseline for future users designing nano-tomography experiments on the NanoMAX beamline.

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“…ADMM (Glowinski & Tallec, 1989) is a powerful and flexible tool that has already been applied to both ptychography (Wen et al, 2012;Chang et al, 2019a) and phase tomography problems (Chang et al, 2019b;Aslan et al, 2019). In this work we also adopt the ADMM framework to design an iterative joint spectro-ptychography solution.…”

Section: Proposed Iterative Algorithmmentioning

confidence: 99%

Iterative X-ray spectroscopic ptychography

Chang¹,

Rong²,

Enfedaque³

et al. 2020

J Appl Cryst

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Spectroscopic ptychography is a powerful technique to determine the chemical composition of a sample with high spatial resolution. In spectro-ptychography, a sample is rastered through a focused X-ray beam with varying photon energy so that a series of phaseless diffraction data are recorded. Each chemical component in the material under investigation has a characteristic absorption and phase contrast as a function of photon energy. Using a dictionary formed by the set of contrast functions of each energy for each chemical component, it is possible to obtain the chemical composition of the material from high-resolution multi-spectral images. This paper presents SPA (spectroscopic ptychography with alternating direction method of multipliers), a novel algorithm to iteratively solve the spectroscopic blind ptychography problem. First, a nonlinear spectro-ptychography model based on Poisson maximum likelihood is designed, and then the proposed method is constructed on the basis of fast iterative splitting operators. SPA can be used to retrieve spectral contrast when considering either a known or an incomplete (partially known) dictionary of reference spectra. By coupling the redundancy across different spectral measurements, the proposed algorithm can achieve higher reconstruction quality when compared with standard state-of-the-art two-step methods. It is demonstrated how SPA can recover accurate chemical maps from Poisson-noised measurements, and its enhanced robustness when reconstructing reduced-redundancy ptychography data using large scanning step sizes is shown.

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Joint ptycho-tomography reconstruction through alternating direction method of multipliers

Cited by 30 publications

References 69 publications

Ptychographic phase retrieval by proximal algorithms

Ptychographic phase retrieval by proximal algorithms

First ptychographic X-ray computed tomography experiment on the NanoMAX beamline

Iterative X-ray spectroscopic ptychography

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