Integer-valued images can be uniquely recovered from a minimal set of DFT coefficients through algebraic reduction to 1D problems and dynamic programming algorithms that use lattice approximation to handle NP-hard subproblems.
Mao, Reconstruction of binary functions and shapes from incomplete frequency information, IEEE Transactions on Information Theory 58 (2012) 3642–3653
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Recovery of Integer Images from Minimal DFT Measurements: Uniqueness and Inversion Algorithms
Integer-valued images can be uniquely recovered from a minimal set of DFT coefficients through algebraic reduction to 1D problems and dynamic programming algorithms that use lattice approximation to handle NP-hard subproblems.