抄録
We consider the orthgonal clipping problem in a set of segments: Given a set of n segments in d-dimensional space, we preprocess them into a data structure such that given an orthogonal query window, the segments intersecting it can be counted/reported efficiently. We show that the efficiency of the data structure significantly depends on a geometric discrete parameter K named the projected-image complexity, which becomes Θ (n2) in the worst case but practically much smaller. If we use O(m) space, where K log4d-7 n ≥ m ≥ n log4d-7 n, the query time is O((K/m)1/2 logmax{4,4d-5} n). This is near to an Ω((K/m)1/2) lower bound.
本文言語 | English |
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ページ(範囲) | 229-245 |
ページ数 | 17 |
ジャーナル | Algorithmica (New York) |
巻 | 18 |
号 | 2 |
DOI | |
出版ステータス | Published - 1997 6 |
ASJC Scopus subject areas
- Computer Science(all)
- Computer Science Applications
- Applied Mathematics