Imaging accurate and high dynamics structures in exoplanetary systems, debris and protoplanetary disks is a key to understand the formation of extra-solar planets and discuss the probability of the existence of earth like planets. Hyperspectral imaging and model fitting are intended to use all spectro-interferometric information, such as the differential phase, visibility and null as a function of wavelength, to boost the inversion stability and accuracy and relax the level of instrumental specifications. Here we introduce the general formalism, the transfer function between the source and the measures, the main fundamental noises sources and the general inverse problem formalism.
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