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math.MG2010★ 6 cited
Covariogram of non-convex sets
Carlo Benassi, Gabriele Bianchi, Giuliana D'Ercole
The covariogram of a compact set A contained in R^n is the function that to each x in R^n associates the volume of A intersected with (A+x). Recently it has been proved that the co…
math.MG2010★ 9 cited
Phase retrieval for characteristic functions of convex bodies and reconstruction from covariograms
Gabriele Bianchi, Richard J. Gardner, Markus Kiderlen
We propose strongly consistent algorithms for reconstructing the characteristic function 1_K of an unknown convex body K in R^n from possibly noisy measurements of the modulus of i…