Superresolution Full-polarimetric Imaging for Radio Interferometry with Sparse Modeling

Kazunori Akiyama, Shiro Ikeda, Mollie Pleau, Vincent L. Fish, Fumie Tazaki, Kazuki Kuramochi, Avery E. Broderick, Jason Dexter, Monika Mościbrodzka, Michael Gowanlock, Mareki Honma, Sheperd S. Doeleman

Research output: Contribution to journalArticlepeer-review

76 Scopus citations


We propose a new technique for radio interferometry to obtain superresolution full-polarization images in all four Stokes parameters using sparse modeling. The proposed technique reconstructs the image in each Stokes parameter from the corresponding full-complex Stokes visibilities by utilizing two regularization functions: the ℓ 1 norm and the total variation (TV) of the brightness distribution. As an application of this technique, we present simulated linear polarization observations of two physically motivated models of M87 with the Event Horizon Telescope. We confirm that ℓ 1+TV regularization can achieve an optimal resolution of ∼25%-30% of the diffraction limit λ/Dmax, which is the nominal spatial resolution of a radio interferometer for both the total intensity (i.e., Stokes I) and linear polarizations (i.e., Stokes Q and U). This optimal resolution is better than that obtained from the widely used Cotton-Schwab CLEAN algorithm or from using ℓ 1 or TV regularizations alone. Furthermore, we find that ℓ 1+TV regularization can achieve much better image fidelity in linear polarization than other techniques over a wide range of spatial scales, not only in the superresolution regime, but also on scales larger than the diffraction limit. Our results clearly demonstrate that sparse reconstruction is a useful choice for high-fidelity full-polarimetric interferometric imaging.

Original languageEnglish (US)
Article number159
JournalAstronomical Journal
Issue number4
StatePublished - Apr 2017
Externally publishedYes


  • polarization
  • techniques: Interferometric
  • techniques: high angular resolution
  • techniques: image processing
  • techniques: polarimetric

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science


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