Line-segment intersection made in-place
We present a space-efficient algorithm for reporting all k intersections induced by a set of n line segments in the plane. Our algorithm is an in-place variant of Balaban's algorithm and, in the worst case, runs in O ( n log 2 n + k ) time using O ( 1 ) extra words of memory in addition to the...
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| Veröffentlicht in: | Computational geometry : theory and applications Jg. 38; H. 3; S. 213 - 230 |
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| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Elsevier B.V
01.10.2007
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| ISSN: | 0925-7721 |
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| Abstract | We present a space-efficient algorithm for reporting all
k intersections induced by a set of
n line segments in the plane. Our algorithm is an in-place variant of Balaban's algorithm and, in the worst case, runs in
O
(
n
log
2
n
+
k
)
time using
O
(
1
)
extra words of memory in addition to the space used for the input to the algorithm. |
|---|---|
| AbstractList | We present a space-efficient algorithm for reporting all
k intersections induced by a set of
n line segments in the plane. Our algorithm is an in-place variant of Balaban's algorithm and, in the worst case, runs in
O
(
n
log
2
n
+
k
)
time using
O
(
1
)
extra words of memory in addition to the space used for the input to the algorithm. |
| Author | Vahrenhold, Jan |
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| Cites_doi | 10.1201/9781420035315.ch38 10.1016/j.ipl.2005.11.018 10.1109/TC.1979.1675432 10.1016/S0925-7721(99)00057-7 10.1016/S0925-7721(01)00026-8 10.1007/BF01840440 10.1016/0022-0000(86)90043-7 10.1016/S0304-3975(98)00162-5 10.1016/j.comgeo.2006.03.006 10.1145/800057.808674 10.1007/BF01994842 10.1016/0020-0190(87)90202-X 10.1145/512274.512284 10.1016/j.tcs.2003.05.004 10.1007/BF01178508 10.1016/S0304-3975(02)00775-2 10.1145/147508.147511 10.1145/355588.365103 10.1137/0206025 |
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| Keywords | Line-segment intersection Space-efficient algorithms In-place algorithms |
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| Title | Line-segment intersection made in-place |
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