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Non-parametric PSF estimation from celestial transit solar images using blind deconvolution

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Gonzalez Gonzalez, Adriana [UCL] Delouille, Véronique [Royal Observatory of Belgium] Jacques, Laurent [UCL]

Context: Characterization of instrumental effects in astronomical imaging is important in order to extract accurate physical information from the observations. The measured image in a real optical instrument is usually represented by the convolution of an ideal image with a Point Spread Function (PSF). Additionally, the image acquisition process is also contaminated by other sources of noise (read-out, photon-counting). The problem of estimating both the PSF and a denoised image is called blind deconvolution and is ill-posed. Aims: We propose a blind deconvolution scheme that relies on image regularization. Contrarily to most methods presented in the literature, our method does not assume a parametric model of the PSF and can thus be applied to any telescope. Methods: Our scheme uses a wavelet analysis prior model on the image and weak assumptions on the PSF. We use observations from a celestial transit, where the occulting body can be assumed to be a black disk. These constraints allow us to retain meaningful solutions for the filter and the image, eliminating trivial, translated, and interchanged solutions. Under an additive Gaussian noise assumption, they also enforce noise canceling and avoid reconstruction artifacts by promoting the whiteness of the residual between the blurred observations and the cleaned data. Results: Our method is applied to synthetic and experimental data. The PSF is estimated for the SECCHI/EUVI instrument using the 2007 Lunar transit, and for SDO/AIA using the 2012 Venus transit. Results show that the proposed non-parametric blind deconvolution method is able to estimate the core of the PSF with a similar quality to parametric methods proposed in the literature. We also show that, if these parametric estimations are incorporated in the acquisition model, the resulting PSF outperforms both the parametric and non-parametric methods.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès libre
Publication date 2016
Language Anglais
Journal information "Journal of Space Weather and Space Climate" - Vol. 6, no. A1, p. 1-20 (2016)
Peer reviewed yes
issn 2115-7251
e-issn 2115-7251
Publication status Publié
Affiliations UCL - SST/ICTM/ELEN - Pôle en ingénierie électrique
UCL - SST/ICTM/INMA - Pôle en ingénierie mathématique
Keywords Point Spread Function ; Blind deconvolution ; Venus transit ; Moon transit ; SDO/AIA ; SECCHI/EUVI ; Proximal algorithms ; Sparse regularization
Links
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Bibliographic reference Gonzalez Gonzalez, Adriana ; Delouille, Véronique ; Jacques, Laurent. Non-parametric PSF estimation from celestial transit solar images using blind deconvolution. In: Journal of Space Weather and Space Climate, Vol. 6, no. A1, p. 1-20 (2016)
Permanent URL http://hdl.handle.net/2078.1/169498