Abstract
In this paper, we study the problem of calculating the minimum collision distance between two planar convex polygons when one of them moves to another along a given direction. First, several novel concepts and properties are explored, then an optimal algorithm OPFIV with time complexityO (log (n+m)) is developed and its correctness and optimization are proved rigorously.
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Yan, Y. An optimal algorithm for solving collision distance between convex polygons in plane. J. of Compt. Sci. & Technol. 8, 367–373 (1993). https://doi.org/10.1007/BF02939545
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DOI: https://doi.org/10.1007/BF02939545