Dynamic Weighted Voronoi Diagrams and Weighted Minimax Matching of Two Corresponding Point Sets
نویسندگان
چکیده
A weighted geometric fitting problem between two corresponding sets of points is to minimize the maximum weighted distance between two corresponding pairs of points by translating and rotating one set to the other set. For this weighted geometric fitting problem, dynamic weighted Voronoi diagrams have been applied to obtain an almost cubic algorithm. In this paper, we show a new reduction of the problem to the two-dimensional Davenport-Schinzel sequences, and provide a much simpler proof for the almost cubic bound. The technique used for this purpose can be applied to more general cases.
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