Principles of image reconstruction in optical interferometry: tutorial

Thiébaut, Éric; Young, John S.

doi:10.1364/josaa.34.000904

Cited by 51 publications

(45 citation statements)

References 83 publications

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“…This work builds on decades of past work in applying regularized maximum likelihood approaches to interferometric imaging, and is in particular inspired by the simultaneous minimization of multiple data terms pioneered in optical interferometric imaging (see e.g. Thiébaut (2013); Thiébaut & Young (2017)). This work extends that framework by imaging data directly with closure amplitudes (or their logarithms) for the first time, rather than relying on amplitude selfcalibration.…”

Section: Discussionmentioning

confidence: 99%

“…While relatively new to radio interferometry and VLBI, reconstructions using Equation (14) with multiple data terms and regularizers are common in optical interferometry (see e.g. Buscher (1994); Baron et al (2010); Thiébaut (2013); Thiébaut & Young (2017)).…”

Section: Imaging With Regularized Maximum Likelihood 31 Imaging Framentioning

confidence: 99%

“…Consequently, these approaches can use closure quantities directly as the fundamental data product, bypassing the self-calibration loop entirely. The field of optical interferometry, for example, has pioneered the use of imaging directly from the measured visibility amplitudes and closure phases, bypassing the corrupted visibility phase (Buscher 1994; Baron et al 2010;Thiébaut 2013;Thiébaut & Young 2017). Recently, several other methods have built on these techniques in preparing imaging algorithms for EHT data, fitting some combination of closure phases and visibility amplitudes directly while using different regularizing functions (Bouman et al 2015;Akiyama et al 2017a).…”

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confidence: 99%

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Interferometric Imaging Directly with Closure Phases and Closure Amplitudes

Chael

Johnson

Bouman

et al. 2018

ApJ

240

269

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Interferometric imaging now achieves angular resolutions as fine as ∼10 µas, probing scales that are inaccessible to single telescopes. Traditional synthesis imaging methods require calibrated visibilities; however, interferometric calibration is challenging, especially at high frequencies. Nevertheless, most studies present only a single image of their data after a process of "self-calibration," an iterative procedure where the initial image and calibration assumptions can significantly influence the final image. We present a method for efficient interferometric imaging directly using only closure amplitudes and closure phases, which are immune to station-based calibration errors. Closure-only imaging provides results that are as non-committal as possible and allows for reconstructing an image independently from separate amplitude and phase self-calibration. While closure-only imaging eliminates some image information (e.g., the total image flux density and the image centroid), this information can be recovered through a small number of additional constraints. We demonstrate that closure-only imaging can produce high fidelity results, even for sparse arrays such as the Event Horizon Telescope, and that the resulting images are independent of the level of systematic amplitude error. We apply closure imaging to VLBA and ALMA data and show that it is capable of matching or exceeding the performance of traditional self-calibration and CLEAN for these data sets.

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Section: Discussionmentioning

confidence: 99%

Section: Imaging With Regularized Maximum Likelihood 31 Imaging Framentioning

confidence: 99%

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confidence: 99%

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Interferometric Imaging Directly with Closure Phases and Closure Amplitudes

Chael

Johnson

Bouman

et al. 2018

ApJ

240

269

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“…The most remarkable observation about Eqs. (7,9) relevant for the context of this work is that the j-th diagonal elements of the inverse matrix are bounded by elements of the original matrix in the vicinity j ± 2. This holds for arbitrary real invertible matrix A as well.…”

Section: Data Availabilitymentioning

confidence: 99%

Efficiently reconstructing compound objects by quantum imaging with higher-order correlation functions

et al. 2019

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Quantum imaging has a potential of enhancing precision of the object reconstruction by using quantum correlations of the imaging field. This is especially important for imaging requiring low-intensity fields up to the level of few-photons. However, quantum imaging generally leads to nonlinear estimation problems. The complexity of these problems rapidly increases with the number of parameters describing the object. We suggest a way to drastically reduce the complexity for a wide class of problems. The key point of our approach is connecting the features of the Fisher information with the parametric locality of the problem, and building the efficient iterative inference scheme reconstructing only a subset of the whole set of parameters in each step. This iterative scheme is linear on the total number of parameters. This scheme is applied to quantum near-field imaging, the inference procedure is developed resulting in super-resolving reconstruction of grey compound transmission objects. The functionality of the method is demonstrated with experimental data obtained by measurements of higher-order correlation functions for imaging with entangled twin-photons and pseudo-thermal light sources. By analyzing the informational content of the measurement, it becomes possible to predict the existence of optimal photon correlations providing for the best image resolution in the super-resolution regime. This prediction is experimentally confirmed. It is also shown how an estimation bias stemming from image features may drastically improve the resolution.

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“…The different reconstructions were all started with an initial image given by an unresolved source centered in the field of view. An hyperbolic edge preserving smoothness 16 was used as regularisation term with transition threshold parameter τ and relative weight µ. Whatever the combination of the regularisation parameters, the restored images (see Fig.…”

Section: Submission Fromé Thiébautmentioning

confidence: 99%

Optical interferometry image reconstruction contest VIII

Mérand

Alberdid²,

Kluska

et al. 2018

Optical and Infrared Interferometry and Imaging VI

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We report on the VIII edition of the imaging reconstruction contest held in the optical/infrared interferometry community. This edition sported a VLTI+CHARA dataset of a simulated image of a star surrounded by a proto-planetary disk hosting a planet. 5 teams responded to the challenge and produced images very close the original image, showing the maturity of image reconstruction techniques for a well sampled u,v coverage. The contest was organised by the first author of this article, whereas the following authors provided entries to the contest.

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Principles of image reconstruction in optical interferometry: tutorial

Cited by 51 publications

References 83 publications

Interferometric Imaging Directly with Closure Phases and Closure Amplitudes

Interferometric Imaging Directly with Closure Phases and Closure Amplitudes

Efficiently reconstructing compound objects by quantum imaging with higher-order correlation functions

Optical interferometry image reconstruction contest VIII

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