Compressed sensing for infrared interferometric imaging

Interferometry is a high resolution technique that enables us to study physical processes at the smallest spatial scales that we can probe with our telescopes. In the infrared and in (sub-)millimetric Very-Long-Baseline Interferometry, the technique is restricted to sparse arrays with only a few telescopes or antennas. While imaging would the most intuitive way to interpret interferometric data, recovering images from sparse arrays is an ill-posed" problem and Fourier inversion techniques are restricted. In this work, we explore a novel imaging scheme based on Compressed Sensing to recover interferometric images. For this purpose, simulated data from the Aperture Masking mode of the James Webb Space Telescope are presented. Our results suggest that reliable interferometric images can be recovered using this technique. In particular, we highlights the recovery of the source structure with high-contrast and low-level residuals.

[1]  B. Lazareff,et al.  GRAVITY chromatic imaging of η Car’s core , 2018, Astronomy & Astrophysics.

[2]  J. Thiran,et al.  A Fourier dimensionality reduction model for big data interferometric imaging , 2016, 1609.02097.

[3]  S. Rabien,et al.  Detection of the gravitational redshift in the orbit of the star S2 near the Galactic centre massive black hole , 2018, Astronomy & Astrophysics.

[4]  A. Lagrange,et al.  Sparse aperture masking at the VLT. I. Faint companion detection limits for the two debris disk stars HD 92945 and HD 141569 , 2011, 1107.1426.

[5]  G. Zins,et al.  A measure of the size of the magnetospheric accretion region in TW Hydrae , 2020, Nature.

[6]  Marvin H. J. Gruber Improving Efficiency by Shrinkage: The James--Stein and Ridge Regression Estimators , 1998 .

[7]  J. Högbom,et al.  APERTURE SYNTHESIS WITH A NON-REGULAR DISTRIBUTION OF INTERFEROMETER BASELINES. Commentary , 1974 .

[8]  S. Rabien,et al.  First direct detection of an exoplanet by optical interferometry , 2019, Astronomy & Astrophysics.

[9]  Alexandru Onose,et al.  Robust sparse image reconstruction of radio interferometric observations with PURIFY , 2016, 1610.02400.

[10]  Johannes Gehrke,et al.  Data Mining with Decision Trees , 2000, ICDE.

[11]  Neil Rowlands,et al.  The JWST Fine Guidance Sensor (FGS) and Near-Infrared Imager and Slitless Spectrograph (NIRISS) , 2012, Other Conferences.

[12]  S. Frick,et al.  Compressed Sensing , 2014, Computer Vision, A Reference Guide.

[13]  R. Schoedel,et al.  NaCo/SAM observations of sources at the Galactic Center , 2012, 1203.3702.

[14]  John D. Monnier,et al.  A novel image reconstruction software for optical/infrared interferometry , 2010, Astronomical Telescopes + Instrumentation.

[15]  Frantz Martinache,et al.  Planetary system and star formation science with non-redundant masking on JWST , 2009, Optical Engineering + Applications.

[16]  Gaël Varoquaux,et al.  Scikit-learn: Machine Learning in Python , 2011, J. Mach. Learn. Res..

[17]  P. Vandergheynst,et al.  Compressed sensing imaging techniques for radio interferometry , 2008, 0812.4933.

[18]  Marcus Magnor,et al.  SparseRI: A Compressed Sensing Framework for Aperture Synthesis Imaging in Radio Astronomy , 2010 .

[19]  J. Monnier Optical interferometry in astronomy , 2003, astro-ph/0307036.

[20]  J. D. Monnier,et al.  A Data Exchange Standard for Optical (Visible/IR) Interferometry , 2005 .

[21]  R. Tibshirani Regression Shrinkage and Selection via the Lasso , 1996 .

[22]  Shidong Li,et al.  Sparse dual frames in compressed sensing , 2011, Optical Engineering + Applications.

[23]  Emmanuel J. Candès,et al.  Decoding by linear programming , 2005, IEEE Transactions on Information Theory.

[24]  E. Candès,et al.  Stable signal recovery from incomplete and inaccurate measurements , 2005, math/0503066.

[25]  R. DeVore,et al.  A Simple Proof of the Restricted Isometry Property for Random Matrices , 2008 .

[26]  Yves Wiaux,et al.  PURIFY: a new approach to radio-interferometric imaging , 2013, 1307.4370.

[27]  F. Millour,et al.  The 2016 interferometric imaging beauty contest , 2016, Astronomical Telescopes + Instrumentation.

[28]  Laurent Pueyo,et al.  AN IMAGE-PLANE ALGORITHM FOR JWST'S NON-REDUNDANT APERTURE MASK DATA , 2014, 1411.3446.