In this paper we study the exact super-resolvability of a scene from a single observation by designing a partial alias-free interpolation scheme. We generate the unknown high frequency components of the given partially aliased, low resolution image by minimizing the total variation of the interpolant subject to the constraint that the unaliased spectral components in the low resolution observation are known precisely. This provides a mathematical basis for exact reproduction of high frequency components with probability approaching one, from their aliased observation. A numerical scheme is suggested to solve the reconstruction problem.
C. V. Jiji, Prakash Neethu, Subhasis Chaudhuri