Compressive Spectral Imaging in View of Earth Observation Applications

Earth observation from space is an important scientific and
industrial activity that has applications in many sectors. The instruments
employed are often large, complex, and expensive. In addition, they
generate large amounts of data, which is challenging for storage and
transfer purposes. Compressive spectral imaging would be a cheaper,
more efficient, and well-adapted technique to perform Earth observation.
An interesting architecture is compressive spectral imaging with
diffractive lenses, which is extremely compact. This work investigates the
possibility of replacing the diffractive lens in this system with a classical
refractive lens. Taking advantage of the chromatic aberration of a lens
makes the use of expensive diffractive lenses unnecessary. Simulations
are performed to test the feasibility of the method. Signal recovery is a
basis pursuit solved using the Douglas-Rashford algorithm.