Sparse interferometric Stokes imaging under the polarization constraint (Polarized SARA)

Author:

Birdi Jasleen1ORCID,Repetti Audrey1,Wiaux Yves1

Affiliation:

1. Institute of Sensors, Signals and Systems, Heriot-Watt University, Edinburgh EH14 4AS, UK

Abstract

ABSTRACT We develop a novel algorithm for sparse imaging of Stokes parameters in radio interferometry under the polarization constraint. The latter is a physical non-linear relation between the Stokes parameters, imposing the polarization intensity as a lower bound on the total intensity. To solve the joint inverse Stokes imaging problem including this bound, we leverage epigraphical projection techniques in convex optimization and we design a primal–dual method offering a highly flexible and parallelizable structure. In addition, we propose to regularize each Stokes parameter map through an average sparsity prior in the context of a reweighted analysis approach (SARA). The resulting method is dubbed Polarized SARA. Using simulated observations of M87 with the Event Horizon Telescope, we demonstrate that imposing the polarization constraint leads to superior image quality. For the considered data sets, the results also indicate better performance of the average sparsity prior in comparison with the widely used Cotton–Schwab clean algorithm and other total variation based priors for polarimetric imaging. Our matlab code is available online on GitHub.

Funder

Engineering and Physical Sciences Research Council

Publisher

Oxford University Press (OUP)

Subject

Space and Planetary Science,Astronomy and Astrophysics

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A Distributed Block-Split Gibbs Sampler with Hypergraph Structure for High-Dimensional Inverse Problems;Journal of Computational and Graphical Statistics;2023-11-15

2. Scalable precision wide-field imaging in radio interferometry: I. uSARA validated on ASKAP data;Monthly Notices of the Royal Astronomical Society;2023-05-04

3. Reconstruction of simulated VLBI data using the SARA method and random raw patches;2023 International Conference on Computer Science, Information Technology and Engineering (ICCoSITE);2023-02-16

4. Parallel faceted imaging in radio interferometry via proximal splitting (Faceted HyperSARA): I. Algorithm and simulations;Monthly Notices of the Royal Astronomical Society;2022-11-11

5. Image reconstruction algorithms in radio interferometry: From handcrafted to learned regularization denoisers;Monthly Notices of the Royal Astronomical Society;2022-09-22

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