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.
Representing and counting the subgroups of the group Z_m x Z_n
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abstract
We deduce a simple representation and the invariant factor decompositions of the subgroups of the group $\Bbb{Z}_m \times \Bbb{Z}_n$, where $m$ and $n$ are arbitrary positive integers. We obtain formulas for the total number of subgroups and the number of subgroups of a given order.
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math.NA 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
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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.