Advanced imaging methods for long-baseline optical interferometry

Abstract—We address the data processing methods needed for imaging with a long baseline optical interferometer. We first de-scribe parametric reconstruction approaches and adopt a general formulation of nonparametric image reconstruction as the solution of a constrained optimization problem. Within this framework, we present two recent reconstruction methods, MIRA and WISARD, representative of the two generic approaches for dealing with the missing phase information. MIRA is based on an implicit approach and a direct optimization of a Bayesian criterion while WISARD adopts a self-calibration approach and an alternate minimization scheme inspired from radio-astronomy. Both methods can handle various regularization criteria. We review commonly used regular-ization terms and introduce an original quadratic regularization called “soft support constraint ” that favors the object compact-ness. It yields images of quality comparable to nonquadratic regu-larizations on the synthetic data we have processed. We then per-form image reconstructions, both parametric and nonparametric, on astronomical data from the IOTA interferometer, and discuss the respective roles of parametric and nonparametric approaches for optical interferometric imaging. Index Terms—Fourier synthesis, image reconstruction, optical interferometry, phase closure. I