Among all nD Euclidean shapes carrying a degree of shade function, only those black and white ones, defined by a single polynomial inequality are determined by finitely many moments. In the single variable situation, a landmark moment transform discovered by A. Markov untangles the above uniqueness feature. The 2D case is not less interesting, touching some spectral inverse problem for pairs of non-commuting self-adjoint transforms. A super-resolution phenomenon will be described in some detail with optimization and asymptotic expansion techniques.