@article {IOPORT.05646269,
    author       = {Huck, Christian},
    title        = {Uniqueness in discrete tomography of Delone sets with long-range order.},
    year         = {2009},
    journal      = {Discrete \& Computational Geometry},
    volume       = {42},
    number       = {4},
    issn         = {0179-5376},
    pages        = {740-758},
    publisher    = {Springer-Verlag, New York, NY},
    doi          = {10.1007/s00454-009-9213-z},
    abstract     = {Summary: We address the problem of determining finite subsets of Delone sets $\Lambda \subset \Bbb R^{d}$ with long-range order by $X$-rays in prescribed $\Lambda $-directions, i.e., directions parallel to nonzero interpoint vectors of $\Lambda $. Here, an $X$-ray in direction $u$ of a finite set gives the number of points in the set on each line parallel to $u$. For our main result, we introduce the notion of algebraic Delone sets $\Lambda \subset \Bbb R^{2}$ and derive a sufficient condition for the determination of the convex subsets of these sets by $X$-rays in four prescribed $\Lambda $-directions.},
    identifier   = {05646269},
}