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| Title: | Shattering a set of objects in 2D |
| Authors: | Nandy, Subhas C.
Asano, Tetsuo
Harayama, Tomohiro |
| Keywords: | Duality
topological line sweep
separator
shattering |
| Issue Date: | 2002-10-15 |
| Publisher: | Elsevier |
| Magazine name: | Discrete Applied Mathematics |
| Volume: | 122 |
| Number: | 1-3 |
| Start page: | 183 |
| End page: | 194 |
| DOI: | 10.1016/S0166-218X(01)00315-8 |
| Abstract: | In this paper, we propose an algorithm for shattering a set of disjoint line segments of arbitrary length and orientation placed arbitrarily on a 2D plane. The time and space complexities of our algorithm are O(n^2) and O(n), respectively. It is an improvement over the O(n^2 log n) time algorithm proposed in [7]. A minor modification of this algorithm applies when objects are simple polygons, keeping the time and space complexities invariant. |
| Rights: | NOTICE: This is the author's version of a work accepted for publication by Elsevier. Subhas C. Nandy, Tetsuo Asano and Tomohiro Harayama, Discrete Applied Mathematics, 122(1-3), 2002, 183-194, http://dx.doi.org/10.1016/S0166-218X(01)00315-8 |
| URI: | https://hdl.handle.net/10119/4894 |
| Material Type: | author |
| Appears in Collections: | b10-1. 雑誌掲載論文 (Journal Articles)
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