Exploiting spatial sparsity for multi-wavelength imaging in optical interferometry

Abstract : Optical interferometers provide multiple wavelength measurements. In order to fully exploit the spectral and spatial resolution of these instruments, new algorithms for image reconstruction have to be developed. Early attempts to deal with multi-chromatic interferometric data have consisted in recovering a gray image of the object or independent monochromatic images in some spectral bandwidths. The main challenge is now to recover the full 3-D (spatio-spectral) brightness distribution of the astronomical target given all the available data. We describe a new approach to implement multi-wavelength image reconstruction in the case where the observed scene is a collection of point-like sources. We show the gain in image quality (both spatially and spectrally) achieved by globally taking into account all the data instead of dealing with independent spectral slices. This is achieved thanks to a regularization which favors spatial sparsity and spectral grouping of the sources. Since the objective function is not differentiable, we had to develop a specialized optimization algorithm which also accounts for non-negativity of the brightness distribution.
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Article dans une revue
Journal of the Optical Society of America. A Optics, Image Science, and Vision, Optical Society of America, 2013, 30 (2), pp.160-170
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https://hal.archives-ouvertes.fr/hal-00771800
Contributeur : Ferréol Soulez <>
Soumis le : mercredi 9 janvier 2013 - 15:34:33
Dernière modification le : mercredi 25 juillet 2018 - 14:05:31

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  • HAL Id : hal-00771800, version 1
  • ARXIV : 1209.2362

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Éric Thiébaut, Ferréol Soulez, Loïc Denis. Exploiting spatial sparsity for multi-wavelength imaging in optical interferometry. Journal of the Optical Society of America. A Optics, Image Science, and Vision, Optical Society of America, 2013, 30 (2), pp.160-170. 〈hal-00771800〉

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