Three-Dimensional Statistical Data Security Problems
SIAM Journal on Computing
On the comptational complexity of determining polyatomic structures by X-rays
Theoretical Computer Science
Reconstructing polyatomic structures from discrete X-rays: NP-completeness proof for three atoms
Theoretical Computer Science
On the Reconstruction of Finite Lattice Sets from their X-Rays
DGCI '97 Proceedings of the 7th International Workshop on Discrete Geometry for Computer Imagery
Some theoretical challenges in digital geometry: A perspective
Discrete Applied Mathematics
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We investigate a natural generalization of the problem of reconstruction of a binary matrix A with prescribed row and column sums: we consider an integer matrix whose list of coefficients is given in the input. The question is to organize the coefficients in the matrix in order to obtain prescribed row and column sums. We prove that this problem is NP-complete by reducing it to a 2D problem of Discrete Tomography with 3 directions of projections.