  Tomograms, a generalization of the Radon transform to arbitrary pairs of
non-commuting operators, are positive bilinear transforms with a rigorous
probabilistic interpretation which provide a full characterization of the
signal and are robust in the presence of noise. We provide an explicit
construction of tomogram transforms for many pairs of noncommuting operators in
one and two dimensions and illustrations of their use for denoising, detection
of small signals and component separation.
