Randomized Parallel Algorithms for Trapezoidal Diagrams
Randomized Parallel Algorithms for Trapezoidal Diagrams
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3. The one change to the traversal, as in the sequential case, is that when and if the traversal crosses a segment of 12 S^ the work required is proportional to the number of cells adjacent to this edge of the cell. So to analyze the traversal, we count both the number of intersections found and the number of cells considered in crossing segments of 5'; by Lemma l(ii), this totals an expected 0(n), and so after an expected O(loglogn) iterations, at most n/logn edges are not fully inserted. A ne...w method is needed to find the intersection points involving these bad edges, for it is not guaranteed that the bad edges do not intersect. Instead of using the algorithm of Goodrich et al. [GSG89], the randomized parallel algorithm given in §3. 2 is used. To apply it, as in §3. 2, the n/ log n bad segments are randomly partitioned into log n groups of n/ log n segments. By Lemma l(i), each group of segments has an expected 0( A/ log^ n) intersections. The algorithm of §3. 2 is applied separately to each group of segments with the edges of T{S^).
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To quickly assess the difficulty of the text, read a short excerpt:
3. The one change to the traversal, as in the sequential case, is that when and if the traversal crosses a segment of 12 S^ the work required is proportional to the number of cells adjacent to this edge of the cell. So to analyze the traversal, we count both the number of intersections found and the number of cells considered in crossing segments of 5'; by Lemma l(ii), this totals an expected 0(n), and so after an expected O(loglogn) iterations, at most n/logn edges are not fully inserted. A ne...w method is needed to find the intersection points involving these bad edges, for it is not guaranteed that the bad edges do not intersect. Instead of using the algorithm of Goodrich et al. [GSG89], the randomized parallel algorithm given in §3. 2 is used. To apply it, as in §3. 2, the n/ log n bad segments are randomly partitioned into log n groups of n/ log n segments. By Lemma l(i), each group of segments has an expected 0( A/ log^ n) intersections. The algorithm of §3. 2 is applied separately to each group of segments with the edges of T{S^).
What to read after Randomized Parallel Algorithms for Trapezoidal Diagrams?
You can find similar books in the "Read Also" column, or choose other free books by Kenneth L Clarkson to read onlineMoreLess
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