{"id":"https://openalex.org/W120536699","doi":"https://doi.org/10.1145/3304181.3304206","title":"Quick collision detection of polytopes in virtual environments","display_name":"Quick collision detection of polytopes in virtual environments","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W120536699","doi":"https://doi.org/10.1145/3304181.3304206","mag":"120536699"},"language":"en","primary_location":{"id":"doi:10.1145/3304181.3304206","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3304181.3304206","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM Symposium on Virtual Reality Software and Technology - VRST '96","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082653450","display_name":"Kelvin Chung","orcid":null},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Kelvin Chung","raw_affiliation_strings":["University of Hong Kong, Hong Kong"],"affiliations":[{"raw_affiliation_string":"University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100668416","display_name":"Wenping Wang","orcid":"https://orcid.org/0000-0002-2284-3952"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Wenping Wang","raw_affiliation_strings":["University of Hong Kong, Hong Kong"],"affiliations":[{"raw_affiliation_string":"University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082653450"],"corresponding_institution_ids":["https://openalex.org/I889458895"],"apc_list":null,"apc_paid":null,"fwci":3.9869,"has_fulltext":false,"cited_by_count":70,"citation_normalized_percentile":{"value":0.93606308,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"125","last_page":"132"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/collision-detection","display_name":"Collision detection","score":0.7798203229904175},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.7566843032836914},{"id":"https://openalex.org/keywords/collision","display_name":"Collision","score":0.7013406753540039},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6775304675102234},{"id":"https://openalex.org/keywords/animation","display_name":"Animation","score":0.5402964353561401},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5291792750358582},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.51315838098526},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4943561553955078},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4772243797779083},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.450281023979187},{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.42468714714050293},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3562611937522888},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.3518691658973694},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2108256220817566},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19960203766822815},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18052202463150024},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.0832507312297821}],"concepts":[{"id":"https://openalex.org/C199668693","wikidata":"https://www.wikidata.org/wiki/Q1550329","display_name":"Collision detection","level":3,"score":0.7798203229904175},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.7566843032836914},{"id":"https://openalex.org/C121704057","wikidata":"https://www.wikidata.org/wiki/Q352070","display_name":"Collision","level":2,"score":0.7013406753540039},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6775304675102234},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.5402964353561401},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5291792750358582},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.51315838098526},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4943561553955078},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4772243797779083},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.450281023979187},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.42468714714050293},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3562611937522888},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.3518691658973694},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2108256220817566},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19960203766822815},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18052202463150024},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0832507312297821},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3304181.3304206","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3304181.3304206","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM Symposium on Virtual Reality Software and Technology - VRST '96","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W32736910","https://openalex.org/W205527636","https://openalex.org/W2000439559","https://openalex.org/W2005538657","https://openalex.org/W2089835609","https://openalex.org/W2094539937","https://openalex.org/W2105333183","https://openalex.org/W2110910389","https://openalex.org/W2137352655","https://openalex.org/W2140393091","https://openalex.org/W2151586077","https://openalex.org/W2166316739","https://openalex.org/W2168507359","https://openalex.org/W3028243704","https://openalex.org/W4244064761","https://openalex.org/W4249667877"],"related_works":["https://openalex.org/W940482830","https://openalex.org/W4280544053","https://openalex.org/W2383278621","https://openalex.org/W2004058166","https://openalex.org/W2103799534","https://openalex.org/W2030467825","https://openalex.org/W1996058844","https://openalex.org/W2362334044","https://openalex.org/W2386379851","https://openalex.org/W2561273788"],"abstract_inverted_index":{"The":[0,42],"problem":[1],"of":[2,22,71,98],"collision":[3,36,59],"detection":[4,37],"is":[5,25,81],"fundamental":[6],"to":[7,116],"inter-active":[8],"applications":[9],"such":[10],"as":[11,83],"computer":[12],"animation":[13],"and":[14,111],"virtual":[15],"environments.":[16],"In":[17,68],"these":[18],"fields,":[19],"prompt":[20],"recognition":[21],"possible":[23],"impacts":[24],"important":[26],"for":[27,39,77,86],"computing":[28],"real-time":[29],"response.":[30],"We":[31],"present":[32],"a":[33,46,65,84],"simple":[34],"exact":[35],"algorithm":[38,43,105,119],"convex":[40],"polytopes.":[41],"finds":[44],"quickly":[45],"separating":[47,66,74],"plane":[48,75],"between":[49],"two":[50],"polytopes":[51],"if":[52,60],"they":[53],"are":[54,114],"non-colliding,":[55],"or":[56],"else":[57],"reports":[58],"it":[61],"cannot":[62],"possibly":[63],"find":[64],"plane.":[67],"the":[69,73,87,104],"case":[70],"non-collision,":[72],"found":[76],"one":[78],"time":[79,89,99,124],"frame":[80],"cached":[82],"witness":[85],"next":[88],"frame,":[90],"an":[91],"idea":[92],"borrowed":[93],"from":[94],"[10];":[95],"this":[96,118],"use":[97],"coherence":[100],"further":[101],"speeds":[102],"up":[103],"in":[106,121],"dynamic":[107],"applications.":[108],"Both":[109],"temporal":[110],"geometric":[112],"coherences":[113],"exploited":[115],"make":[117],"run":[120],"expected":[122],"constant":[123],"empirically.":[125]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
