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Algorithms for ordering unorganized points along parametrized curves

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Abstract

Letn points be given on several arcs of curve. The equations of these curves are unknown. We give two algorithms, based on geometrical criteria, that allow to determine an order on these points: the order given by the curvilinear abscissa. The computational complexity of these algorithms is inO(n logn) and the space complexity inO(n).

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Communicated by P.J. Laurent

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Dedieu, J.P., Favardin, C. Algorithms for ordering unorganized points along parametrized curves. Numer Algor 6, 169–200 (1994). https://doi.org/10.1007/BF02149768

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