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Article: Continuous collision detection for ellipsoids
Title | Continuous collision detection for ellipsoids | ||||||||||||
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Authors | |||||||||||||
Keywords | Affine motion Characteristic equation Continuous collision detection Ellipsoid Euclidean motion Rational motion Zero set | ||||||||||||
Issue Date | 2009 | ||||||||||||
Publisher | IEEE. The Journal's web site is located at http://www.computer.org/tvcg | ||||||||||||
Citation | IEEE Transactions On Visualization And Computer Graphics, 2009, v. 15 n. 2, p. 311-324 How to Cite? | ||||||||||||
Abstract | We present an accurate and efficient algorithm for continuous collision detection between two moving ellipsoids. We start with a highly optimized implementation of interference testing between two stationary ellipsoids based on an algebraic condition described in terms of the signs of roots of the characteristic equation of two ellipsoids. Then we derive a time-dependent characteristic equation for two moving ellipsoids, which enables us to develop a real-time algorithm for computing the time intervals in which two moving ellipsoids collide. The effectiveness of our approach is demonstrated with several practical examples. © 2006 IEEE. | ||||||||||||
Persistent Identifier | http://hdl.handle.net/10722/60607 | ||||||||||||
ISSN | 2023 Impact Factor: 4.7 2023 SCImago Journal Rankings: 2.056 | ||||||||||||
ISI Accession Number ID |
Funding Information: The authors would like to thank anonymous reviewers for their invaluable comments. Prof. Jehee Lee at Seoul National University provided the motion capture data for the boxing animation. The work of Wenping Wang was partially supported by the National Key Basic Research Project of China (2004CB318000), the Research Grant Council of Hong Kong (HKU7178/06E), and the Innovative and Technology Fund of Hong Kong (ITS/090/06). This work was also supported in part by KICOS through the Korean- Israeli Binational Research Grant (K20717000006) provided by MEST in 2007. | ||||||||||||
References | |||||||||||||
Grants |
DC Field | Value | Language |
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dc.contributor.author | Choi, YK | en_HK |
dc.contributor.author | Chang, JW | en_HK |
dc.contributor.author | Wang, W | en_HK |
dc.contributor.author | Kim, MS | en_HK |
dc.contributor.author | Elber, G | en_HK |
dc.date.accessioned | 2010-05-31T04:14:53Z | - |
dc.date.available | 2010-05-31T04:14:53Z | - |
dc.date.issued | 2009 | en_HK |
dc.identifier.citation | IEEE Transactions On Visualization And Computer Graphics, 2009, v. 15 n. 2, p. 311-324 | en_HK |
dc.identifier.issn | 1077-2626 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/60607 | - |
dc.description.abstract | We present an accurate and efficient algorithm for continuous collision detection between two moving ellipsoids. We start with a highly optimized implementation of interference testing between two stationary ellipsoids based on an algebraic condition described in terms of the signs of roots of the characteristic equation of two ellipsoids. Then we derive a time-dependent characteristic equation for two moving ellipsoids, which enables us to develop a real-time algorithm for computing the time intervals in which two moving ellipsoids collide. The effectiveness of our approach is demonstrated with several practical examples. © 2006 IEEE. | en_HK |
dc.language | eng | en_HK |
dc.publisher | IEEE. The Journal's web site is located at http://www.computer.org/tvcg | en_HK |
dc.relation.ispartof | IEEE Transactions on Visualization and Computer Graphics | en_HK |
dc.rights | ©2008 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. | - |
dc.subject | Affine motion | en_HK |
dc.subject | Characteristic equation | en_HK |
dc.subject | Continuous collision detection | en_HK |
dc.subject | Ellipsoid | en_HK |
dc.subject | Euclidean motion | en_HK |
dc.subject | Rational motion | en_HK |
dc.subject | Zero set | en_HK |
dc.title | Continuous collision detection for ellipsoids | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1077-2626&volume=vol.15, no. 2&spage=pp. 311&epage=325&date=2009&atitle=Continuous+Collision+Detection+For+Ellipsoids | en_HK |
dc.identifier.email | Choi, YK:ykchoi@cs.hku.hk | en_HK |
dc.identifier.email | Wang, W:wenping@cs.hku.hk | en_HK |
dc.identifier.authority | Choi, YK=rp00106 | en_HK |
dc.identifier.authority | Wang, W=rp00186 | en_HK |
dc.description.nature | published_or_final_version | - |
dc.identifier.doi | 10.1109/TVCG.2008.80 | en_HK |
dc.identifier.scopus | eid_2-s2.0-59049096101 | en_HK |
dc.identifier.hkuros | 160930 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-59049096101&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 15 | en_HK |
dc.identifier.issue | 2 | en_HK |
dc.identifier.spage | 311 | en_HK |
dc.identifier.epage | 324 | en_HK |
dc.identifier.isi | WOS:000262317200012 | - |
dc.publisher.place | United States | en_HK |
dc.relation.project | New technology for real time and accurate collision detection in computer games and simulation | - |
dc.identifier.scopusauthorid | Choi, YK=7404777348 | en_HK |
dc.identifier.scopusauthorid | Chang, JW=35247700900 | en_HK |
dc.identifier.scopusauthorid | Wang, W=35147101600 | en_HK |
dc.identifier.scopusauthorid | Kim, MS=34975058900 | en_HK |
dc.identifier.scopusauthorid | Elber, G=7005490111 | en_HK |
dc.identifier.citeulike | 8588442 | - |
dc.identifier.issnl | 1077-2626 | - |