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 place. Our algorithm is an in-place variant of Balaban’s algorithm and runs in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage...
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description | We present a space-efficient algorithm for reporting all k intersections induced by a set of n line segments in the place. Our algorithm is an in-place variant of Balaban’s algorithm and runs in \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$\mathcal{O}(n log^2_2 n + k)$\end{document} time using \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$\mathcal{O}$\end{document}(1) extra words of memory over and above the space used for the input to the algorithm. |
doi_str_mv | 10.1007/11534273_14 |
format | Conference Proceeding |
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\begin{document}$\mathcal{O}$\end{document}(1) extra words of memory over and above the space used for the input to the algorithm.</description><identifier>ISSN: 0302-9743</identifier><identifier>ISBN: 3540281010</identifier><identifier>ISBN: 9783540281016</identifier><identifier>EISSN: 1611-3349</identifier><identifier>EISBN: 9783540317111</identifier><identifier>EISBN: 3540317112</identifier><identifier>DOI: 10.1007/11534273_14</identifier><language>eng</language><publisher>Berlin, Heidelberg: Springer Berlin Heidelberg</publisher><subject>Algorithmics. Computability. Computer arithmetics ; Applied sciences ; Computational Geometry ; Computer science; control theory; systems ; Exact sciences and technology ; Extra Space ; Priority Queue ; Recursive Call ; Theoretical computing ; Vertical Strip</subject><ispartof>Algorithms and Data Structures, 2005, p.146-157</ispartof><rights>Springer-Verlag Berlin Heidelberg 2005</rights><rights>2005 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/11534273_14$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/11534273_14$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>309,310,776,777,781,786,787,790,4036,4037,27906,38236,41423,42492</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=17116287$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><contributor>Dehne, Frank</contributor><contributor>Sack, Jörg-Rüdiger</contributor><contributor>López-Ortiz, Alejandro</contributor><creatorcontrib>Vahrenhold, Jan</creatorcontrib><title>Line-Segment Intersection Made In-Place</title><title>Algorithms and Data Structures</title><description>We present a space-efficient algorithm for reporting all k intersections induced by a set of n line segments in the place. Our algorithm is an in-place variant of Balaban’s algorithm and runs in \documentclass[12pt]{minimal}
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\begin{document}$\mathcal{O}$\end{document}(1) extra words of memory over and above the space used for the input to the algorithm.</description><subject>Algorithmics. Computability. Computer arithmetics</subject><subject>Applied sciences</subject><subject>Computational Geometry</subject><subject>Computer science; control theory; systems</subject><subject>Exact sciences and technology</subject><subject>Extra Space</subject><subject>Priority Queue</subject><subject>Recursive Call</subject><subject>Theoretical computing</subject><subject>Vertical Strip</subject><issn>0302-9743</issn><issn>1611-3349</issn><isbn>3540281010</isbn><isbn>9783540281016</isbn><isbn>9783540317111</isbn><isbn>3540317112</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2005</creationdate><recordtype>conference_proceeding</recordtype><recordid>eNpNkE1LxDAYhOMXuLvuyT-wFxEP0ffNmzbJURY_FioK6jlkk3SpdtvS9OK_t2U9eBqYeRiYYewS4RYB1B1iRlIosiiP2NIoTZkEQoWIx2yGOSInkuaEzadAaASEUzYDAsGNknTO5il9AYBQRszYdVE1kb_H3T42w2rTDLFP0Q9V26xeXIijw99q5-MFOytdneLyTxfs8_HhY_3Mi9enzfq-4J1AM3DKUAifxcwQmSBBy-AklNtAQRKWTpfkM1Dktc-FGLeA0iEo4fOodV7mtGBXh97OJe_qsneNr5Lt-mrv-h877cyFViN3c-DSGDW72Ntt234ni2Cnm-y_m-gXcHhRrA</recordid><startdate>2005</startdate><enddate>2005</enddate><creator>Vahrenhold, Jan</creator><general>Springer Berlin Heidelberg</general><general>Springer</general><scope>IQODW</scope></search><sort><creationdate>2005</creationdate><title>Line-Segment Intersection Made In-Place</title><author>Vahrenhold, Jan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p219t-35122c5e59339d4084da40fbd3d431fa8f3c5073c8c622115078dd72c6e886f63</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2005</creationdate><topic>Algorithmics. Computability. Computer arithmetics</topic><topic>Applied sciences</topic><topic>Computational Geometry</topic><topic>Computer science; control theory; systems</topic><topic>Exact sciences and technology</topic><topic>Extra Space</topic><topic>Priority Queue</topic><topic>Recursive Call</topic><topic>Theoretical computing</topic><topic>Vertical Strip</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Vahrenhold, Jan</creatorcontrib><collection>Pascal-Francis</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Vahrenhold, Jan</au><au>Dehne, Frank</au><au>Sack, Jörg-Rüdiger</au><au>López-Ortiz, Alejandro</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Line-Segment Intersection Made In-Place</atitle><btitle>Algorithms and Data Structures</btitle><date>2005</date><risdate>2005</risdate><spage>146</spage><epage>157</epage><pages>146-157</pages><issn>0302-9743</issn><eissn>1611-3349</eissn><isbn>3540281010</isbn><isbn>9783540281016</isbn><eisbn>9783540317111</eisbn><eisbn>3540317112</eisbn><abstract>We present a space-efficient algorithm for reporting all k intersections induced by a set of n line segments in the place. Our algorithm is an in-place variant of Balaban’s algorithm and runs in \documentclass[12pt]{minimal}
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identifier | ISSN: 0302-9743 |
ispartof | Algorithms and Data Structures, 2005, p.146-157 |
issn | 0302-9743 1611-3349 |
language | eng |
recordid | cdi_pascalfrancis_primary_17116287 |
source | Springer Books |
subjects | Algorithmics. Computability. Computer arithmetics Applied sciences Computational Geometry Computer science control theory systems Exact sciences and technology Extra Space Priority Queue Recursive Call Theoretical computing Vertical Strip |
title | Line-Segment Intersection Made In-Place |
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