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Titlebook: Discrete Geometry for Computer Imagery; 9th International Co Gunilla Borgefors,Ingela Nyström,Gabriella Sanniti Conference proceedings 2000

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An Algorithm for Reconstructing Special Lattice Sets from Their Approximate X-Rays directions. We provide a polynomial-time algorithm for reconstructing Q-convex sets from their “approximate” X-rays. A Qconvex set is a special subset of Z2 having some convexity properties. This algorithm can be used for reconstructing convex subsets of Z2 from their exact X-rays in some sets of f
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A Question of Digital Linear Algebrars, is solved by the Gauss pivot. The problem investigated in this paper is very close to this classical question: we denote . the function of ℝ. defined by . and the question is now to determine if a given vector v ∈ ℤ. belongs to .. This problem can be easily seen as a sytem of inequalities and so
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Reconstruction of Discrete Sets with Absorption when some known absorption is supposed. It is math-ematically interesting when the absorbed projection of a matrix element is the same as the absorbed projection of the next two consecutive el-ements together. We show that, in this special case, the non-uniquely determined matrices contain a certai
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Determining Visible Points in a Three-Dimensional Discrete Spaceother object points is determined by shooting a discrete ray from each surface point towards the center of projection considering the intersection of the ray with other object points. Since the projection of points onto the viewing plane is done by a continuous mapping, additionally to the discrete
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