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12 September 2012Multi-wavelength imaging algorithm for optical interferometry
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 spatially sparsity and spectral grouping of the sources. Since
the objective function is not dierentiable, we had to develop a specialized optimization algorithm which also
takes into account the non-negativity of the brightness distribution.
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Éric Thiébaut, Ferréol Soulez, "Multi-wavelength imaging algorithm for optical interferometry," Proc. SPIE 8445, Optical and Infrared Interferometry III, 84451C (12 September 2012); https://doi.org/10.1117/12.926862