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Article: Finding the constrained Delaunay triangulation and constrained Voronoi diagram of a simple polygon in linear time
Title | Finding the constrained Delaunay triangulation and constrained Voronoi diagram of a simple polygon in linear time |
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Authors | |
Keywords | algorithm computational geometry constrained Delaunay triangulation polygon Voronoi diagram |
Issue Date | 1998 |
Publisher | Society for Industrial and Applied Mathematics. The Journal's web site is located at http://www.siam.org/journals/sicomp.php |
Citation | Siam Journal On Computing, 1998, v. 28 n. 2, p. 471-486 How to Cite? |
Abstract | In this paper, we present a Θ(n) time worst-case deterministic algorithm for finding the constrained Delaunay triangulation and constrained Voronoi diagram of a simple n-sided polygon in the plane. Up to now, only an O(n log n) worst-case deterministic and an O(n) expected time bound have been shown, leaving an O(n) deterministic solution open to conjecture. |
Persistent Identifier | http://hdl.handle.net/10722/47094 |
ISSN | 2023 Impact Factor: 1.2 2023 SCImago Journal Rankings: 2.143 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chin, F | en_HK |
dc.date.accessioned | 2007-10-30T07:07:00Z | - |
dc.date.available | 2007-10-30T07:07:00Z | - |
dc.date.issued | 1998 | en_HK |
dc.identifier.citation | Siam Journal On Computing, 1998, v. 28 n. 2, p. 471-486 | en_HK |
dc.identifier.issn | 0097-5397 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/47094 | - |
dc.description.abstract | In this paper, we present a Θ(n) time worst-case deterministic algorithm for finding the constrained Delaunay triangulation and constrained Voronoi diagram of a simple n-sided polygon in the plane. Up to now, only an O(n log n) worst-case deterministic and an O(n) expected time bound have been shown, leaving an O(n) deterministic solution open to conjecture. | en_HK |
dc.format.extent | 385421 bytes | - |
dc.format.extent | 5052 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.format.mimetype | text/plain | - |
dc.language | eng | en_HK |
dc.publisher | Society for Industrial and Applied Mathematics. The Journal's web site is located at http://www.siam.org/journals/sicomp.php | - |
dc.relation.ispartof | SIAM Journal on Computing | en_HK |
dc.rights | © 1998 Society for Industrial and Applied Mathematics. First Published in SIAM Journal on Computing in volume 28, issue 2, published by the Society for Industrial and Applied Mathematics (SIAM). | - |
dc.subject | algorithm | en_HK |
dc.subject | computational geometry | en_HK |
dc.subject | constrained Delaunay triangulation | en_HK |
dc.subject | polygon | en_HK |
dc.subject | Voronoi diagram | en_HK |
dc.title | Finding the constrained Delaunay triangulation and constrained Voronoi diagram of a simple polygon in linear time | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0097-5397&volume=28&issue=2&spage=471&epage=486&date=1998&atitle=Finding+the+Constrained+Delaunay+Triangulation+and+Constrained+Voronoi+Diagram+of+a+Simple+Polygon+in+Linear+Time | en_HK |
dc.identifier.email | Chin, F:chin@cs.hku.hk | en_HK |
dc.identifier.authority | Chin, F=rp00105 | en_HK |
dc.description.nature | published_or_final_version | en_HK |
dc.identifier.doi | 10.1137/S0097539795285916 | en_HK |
dc.identifier.scopus | eid_2-s2.0-0032107935 | en_HK |
dc.identifier.hkuros | 42582 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0032107935&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 28 | en_HK |
dc.identifier.issue | 2 | en_HK |
dc.identifier.spage | 471 | en_HK |
dc.identifier.epage | 486 | en_HK |
dc.identifier.isi | WOS:000075210300003 | - |
dc.publisher.place | United States | en_HK |
dc.identifier.scopusauthorid | Chin, F=7005101915 | en_HK |
dc.identifier.issnl | 0097-5397 | - |