  Refraction by the atmosphere causes the positions of sources to depend on the
airmass through which an observation was taken. This shift is dependent on the
underlying spectral energy of the source and the filter or bandpass through
which it is observed. Wavelength-dependent refraction within a single passband
is often referred to as differential chromatic refraction (DCR). With a new
generation of astronomical surveys undertaking repeated observations of the
same part of the sky over a range of different airmasses and parallactic
angles, DCR should be a detectable and measurable astrometric signal. In this
paper we introduce a novel procedure that takes this astrometric signal and
uses it to infer the underlying spectral energy distribution of a source; we
solve for multiple latent images at specific wavelengths via a generalized
deconvolution procedure built on robust statistics. We demonstrate the utility
of such an approach for estimating a partially deconvolved image, at higher
spectral resolution than the input images, for surveys such as the Large
Synoptic Survey Telescope (LSST).
