{"id":"https://openalex.org/W2083340588","doi":"https://doi.org/10.1080/10867651.2004.10487597","title":"Fast Ray-Axis Aligned Bounding Box Overlap Tests with Plucker Coordinates","display_name":"Fast Ray-Axis Aligned Bounding Box Overlap Tests with Plucker Coordinates","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2083340588","doi":"https://doi.org/10.1080/10867651.2004.10487597","mag":"2083340588"},"language":"en","primary_location":{"id":"doi:10.1080/10867651.2004.10487597","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10867651.2004.10487597","pdf_url":null,"source":{"id":"https://openalex.org/S4210240212","display_name":"Journal of Graphics Tools","issn_l":"1086-7651","issn":["1086-7651","2151-2272","2151-237X","2165-347X","2165-3488"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graphics Tools","raw_type":"journal-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/A5024844708","display_name":"J. Mahovsky","orcid":null},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jeffrey Mahovsky","raw_affiliation_strings":["Department of Computer Science , University of Calgary , 2500 University Drive NW, Calgary , Alberta , T2N 1N4 E-mail: mahovskj@cpsc.ucalgary.ca","Department of Computer Science, University of Calgary, 2500 University Drive NW, Calgary, Alberta, T2N 1N4 E-mail: mahovskj@cpsc.ucalgary.ca"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science , University of Calgary , 2500 University Drive NW, Calgary , Alberta , T2N 1N4 E-mail: mahovskj@cpsc.ucalgary.ca","institution_ids":["https://openalex.org/I168635309"]},{"raw_affiliation_string":"Department of Computer Science, University of Calgary, 2500 University Drive NW, Calgary, Alberta, T2N 1N4 E-mail: mahovskj@cpsc.ucalgary.ca","institution_ids":["https://openalex.org/I168635309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082028522","display_name":"Brian Wyvill","orcid":null},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Brian Wyvill","raw_affiliation_strings":["Department of Computer Science , University of Calgary , 2500 University Drive NW, Calgary , Alberta , T2N 1N4 E-mail: blob@cpsc.ucalgary.ca","Department of Computer Science, University of Calgary, 2500 University Drive NW, Calgary, Alberta, T2N 1N4 E-mail: blob@cpsc.ucalgary.ca"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science , University of Calgary , 2500 University Drive NW, Calgary , Alberta , T2N 1N4 E-mail: blob@cpsc.ucalgary.ca","institution_ids":["https://openalex.org/I168635309"]},{"raw_affiliation_string":"Department of Computer Science, University of Calgary, 2500 University Drive NW, Calgary, Alberta, T2N 1N4 E-mail: blob@cpsc.ucalgary.ca","institution_ids":["https://openalex.org/I168635309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I168635309"],"apc_list":null,"apc_paid":null,"fwci":2.9373,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.91703165,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"9","issue":"1","first_page":"35","last_page":"46"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10638","display_name":"Optical measurement and interference techniques","score":0.9987999796867371,"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/T10638","display_name":"Optical measurement and interference techniques","score":0.9987999796867371,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.998199999332428,"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/T12111","display_name":"Industrial Vision Systems and Defect Detection","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/minimum-bounding-box","display_name":"Minimum bounding box","score":0.8505613803863525},{"id":"https://openalex.org/keywords/silhouette","display_name":"Silhouette","score":0.8136187791824341},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.7616550326347351},{"id":"https://openalex.org/keywords/vectorization","display_name":"Vectorization (mathematics)","score":0.6641330718994141},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.6159623861312866},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5430206656455994},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48616334795951843},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.43718957901000977},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.4333617091178894},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4320067763328552},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.43110862374305725},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.36697691679000854},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35267430543899536},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.30978238582611084},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3087059259414673},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.19525086879730225},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.1765681505203247},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.08302250504493713},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08290797472000122}],"concepts":[{"id":"https://openalex.org/C147037132","wikidata":"https://www.wikidata.org/wiki/Q6865426","display_name":"Minimum bounding box","level":3,"score":0.8505613803863525},{"id":"https://openalex.org/C58103923","wikidata":"https://www.wikidata.org/wiki/Q2286025","display_name":"Silhouette","level":2,"score":0.8136187791824341},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.7616550326347351},{"id":"https://openalex.org/C41681595","wikidata":"https://www.wikidata.org/wiki/Q7917855","display_name":"Vectorization (mathematics)","level":2,"score":0.6641330718994141},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.6159623861312866},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5430206656455994},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48616334795951843},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.43718957901000977},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.4333617091178894},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4320067763328552},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.43110862374305725},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.36697691679000854},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35267430543899536},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.30978238582611084},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3087059259414673},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.19525086879730225},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.1765681505203247},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.08302250504493713},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08290797472000122},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/10867651.2004.10487597","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10867651.2004.10487597","pdf_url":null,"source":{"id":"https://openalex.org/S4210240212","display_name":"Journal of Graphics Tools","issn_l":"1086-7651","issn":["1086-7651","2151-2272","2151-237X","2165-347X","2165-3488"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graphics Tools","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.608.5519","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.608.5519","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://pages.cpsc.ucalgary.ca/~blob/papers/jeff/jgt/jgt_draft.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W15755586","https://openalex.org/W1487986144","https://openalex.org/W1991777702","https://openalex.org/W2012710379","https://openalex.org/W2051540792","https://openalex.org/W2054935921","https://openalex.org/W2061370921","https://openalex.org/W2080630433","https://openalex.org/W2118253525","https://openalex.org/W2175032334","https://openalex.org/W2912048335"],"related_works":["https://openalex.org/W4237171675","https://openalex.org/W3036286480","https://openalex.org/W3192357901","https://openalex.org/W2387360586","https://openalex.org/W4287027631","https://openalex.org/W2952736415","https://openalex.org/W3209723314","https://openalex.org/W3205398323","https://openalex.org/W2883297582","https://openalex.org/W4390524233"],"abstract_inverted_index":{"Fast":[0],"ray-axis":[1],"aligned":[2],"bounding":[3],"box":[4,27],"overlap":[5],"tests":[6,16],"can":[7,88],"be":[8,89],"performed":[9],"by":[10],"utilizing":[11],"Pliicker":[12,97],"coordinates.":[13],"This":[14],"method":[15,54,73],"the":[17,20,23,26,36,44,51,81,84,109],"ray":[18,82],"against":[19,31],"edges":[21,37],"comprising":[22],"silhouette":[24,45],"of":[25,29,35,65,96],"instead":[28],"testing":[30],"individual":[32],"faces.":[33],"Projection":[34],"onto":[38],"a":[39],"two-dimensional":[40],"plane":[41],"to":[42,83,114],"generate":[43],"is":[46,55,99,112,124],"not":[47,75,125],"necessary,":[48],"which":[49,69],"simplifies":[50],"technique.":[52],"The":[53,72],"division-free":[56],"and":[57,62],"successive":[58],"calculations":[59],"are":[60],"independent":[61],"consist":[63],"simply":[64],"dot":[66],"product":[67],"operations,":[68],"permits":[70],"vectorization.":[71],"does":[74],"compute":[76],"an":[77,92,121],"intersection":[78,122],"distance":[79,123],"along":[80],"box,":[85],"but":[86],"this":[87],"added":[90],"as":[91],"additional":[93],"step.":[94],"Storage":[95],"coordinates":[98],"unnecessary,":[100],"permitting":[101],"integration":[102],"into":[103],"existing":[104],"systems.":[105],"Test":[106],"results":[107],"show":[108],"technique's":[110],"performance":[111],"up":[113],"93%":[115],"faster":[116],"than":[117],"traditional":[118],"methods":[119],"if":[120],"needed.":[126]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}