Pii: S0925-7721(00)00019-5
نویسنده
چکیده
We propose algorithms to perform two new operations on an arrangement of line segments in the plane, represented by a trapezoidal map: the split of the map along a given vertical lineD, and the union of two trapezoidal maps computed in two vertical slabs of the plane that are adjacent through a vertical line D. The data structure we use is a modified Influence Graph, still allowing dynamic insertions and deletions of line segments in the map. The algorithms for both operations run in O(sD logn+ log2 n) time, where n is the number of line segments in the map, and sD is the number of line segments intersected byD. 2000 Elsevier Science B.V. All rights reserved.
منابع مشابه
Union and split operations on dynamic trapezoidal maps
We propose here algorithms to perform two new operations on an arrangement of line segments in the plane, represented by a trapezoidal map: the split of the map along a given vertical line D, and the union of two trapezoidal maps computed in two vertical slabs of the plane that are adjacent through a vertical line D. The data structure is a modiied Innuence graph, still allowing dynamic inserti...
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تاریخ انتشار 2000