During the twenty "golden years" of Inverse Problems after World War 2, the most important ideas appeared in the field of linear inverse problems and that of inverse scattering problems, which give a taste of how nonlinearity can modify an inverse problem. Although both were closely connected to problems of real physics, both could
be given not only numerical analyses but also exact analyses of how the information which is contained in data can be disentangled: the art of
doing it corresponds to the most general meaning of the word "deconvolution". We give here a sketchy review of main ideas which appeared, main remarks, and main directions for future developments in the field of Inverse Scattering.
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