1. A method of restoring low spatial frequency spectral information to an image using a Fizeau Fourier transform spectrometer system having a plurality of collecting elements, the method comprising the steps of: Fourier transforming interference patterns in a delta cube generated by interfering portions of a wavefront collected by the plurality of collecting elements to generate a lambda cube having a plurality of spectral images, each interference pattern in the delta cube corresponding to an interference pattern generated with a different optical path length of one or more of the collecting elements, each spectral image corresponding to a range of wavelengths of the collected wavefront; identifying a region of the image for which a spectral information is predetermined; generating a plurality of object estimates for each of which a spatial frequency information is uniform, each object estimate corresponding to a spectral image of the lambda cube; adjusting each of the object estimates by applying a system spectral optical transfer function to each object estimate to generate a spectral object estimate and then modifying the spatial frequency information of each object estimate until each spectral object estimate is within a first predetermined margin with respect to the corresponding spectral image of the lambda cube; and restoring each of the adjusted object estimates by applying a system optical transfer function to each adjusted object estimate to generate a monochromatic object estimate, summing the monochromatic object estimates for all adjusted object estimates to generate a panchromatic object estimate and then applying a DC bias to each adjusted object estimate until the spectral information of the identified region of the panchromatic object estimate is within a second predetermined margin with respect to the spectral information of the identified region of a measured panchromatic object image.