{"id":"https://openalex.org/W2069600201","doi":"https://doi.org/10.1080/10867651.1997.10487481","title":"Fast Robust BSP Tree Traversal Algorithm for Ray Tracing","display_name":"Fast Robust BSP Tree Traversal Algorithm for Ray Tracing","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W2069600201","doi":"https://doi.org/10.1080/10867651.1997.10487481","mag":"2069600201"},"language":"en","primary_location":{"id":"doi:10.1080/10867651.1997.10487481","is_oa":true,"landing_page_url":"https://doi.org/10.1080/10867651.1997.10487481","pdf_url":"https://www.tandfonline.com/doi/abs/10.1080/10867651.1997.10487481","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":true,"oa_status":"bronze","oa_url":"https://www.tandfonline.com/doi/abs/10.1080/10867651.1997.10487481","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088494403","display_name":"Vlastimil Havran","orcid":"https://orcid.org/0000-0002-3329-8814"},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Vlastimil Havran","raw_affiliation_strings":["Czech Technical University, Faculty of Electrical Engineering, Department of Computer Science and Engineering, Karlovo nam. 13, 12135 Prague 2, Czech Republic E-mail: havran@fel.cvut.cz","Czech Technical University, Faculty of Electrical Engineering, Department of Computer Science and Engineering, Karlovo n\u00e1m. 13, 12135 Prague 2, Czech Republic#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Czech Technical University, Faculty of Electrical Engineering, Department of Computer Science and Engineering, Karlovo nam. 13, 12135 Prague 2, Czech Republic E-mail: havran@fel.cvut.cz","institution_ids":["https://openalex.org/I44504214"]},{"raw_affiliation_string":"Czech Technical University, Faculty of Electrical Engineering, Department of Computer Science and Engineering, Karlovo n\u00e1m. 13, 12135 Prague 2, Czech Republic#TAB#","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5098414808","display_name":"Tomas Kopal","orcid":null},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Tomas Kopal","raw_affiliation_strings":["Czech Technical University, Faculty of Electrical Engineering, Department of Computer Science and Engineering, Karlovo n\u00e1m, Czech Republic E-mail: kopal@fel.cvut.cz","Czech Technical University, Faculty of Electrical Engineering, Department of Computer Science and Engineering, Karlovo n\u00e1m. 13, 12135 Prague 2, Czech Republic#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Czech Technical University, Faculty of Electrical Engineering, Department of Computer Science and Engineering, Karlovo n\u00e1m, Czech Republic E-mail: kopal@fel.cvut.cz","institution_ids":["https://openalex.org/I44504214"]},{"raw_affiliation_string":"Czech Technical University, Faculty of Electrical Engineering, Department of Computer Science and Engineering, Karlovo n\u00e1m. 13, 12135 Prague 2, Czech Republic#TAB#","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014451969","display_name":"Ji\u0159\u0131\u0301 Bittner","orcid":"https://orcid.org/0000-0002-5818-934X"},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Ji\u0159\u00ed Bittner","raw_affiliation_strings":["Czech Technical University, Faculty of Electrical Engineering, Department of Computer Science and Engineering, Karlovo n\u00e1m, 13, 12135 Prague 2, Czech Republic E-mail: bittner@fel.cvut.cz","Czech Technical University, Faculty of Electrical Engineering, Departmere of Computer Science and Engineering, Karlovo n\u00e1m. 13, 12135 Prague 2, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Czech Technical University, Faculty of Electrical Engineering, Department of Computer Science and Engineering, Karlovo n\u00e1m, 13, 12135 Prague 2, Czech Republic E-mail: bittner@fel.cvut.cz","institution_ids":["https://openalex.org/I44504214"]},{"raw_affiliation_string":"Czech Technical University, Faculty of Electrical Engineering, Departmere of Computer Science and Engineering, Karlovo n\u00e1m. 13, 12135 Prague 2, Czech Republic","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023745427","display_name":"Ji\u0159\u0131\u0301 \u017d\u00e1ra","orcid":"https://orcid.org/0000-0003-2612-7942"},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Ji\u0159\u00ed \u017d\u00e1ra","raw_affiliation_strings":["Czech Technical University, Faculty of Electrical Engineering, Department of Computer Science and Engineering, Karlovo n\u00e1m. 13, 12135 Prague 2, Czech Republic E-mail: zara@fel.cvut.cz","Czech Technical University, Faculty of Electrical Engineering, Department of Computer Science and Engineering, Karlovo n\u00e1m. 13, 12135 Prague 2, Czech Republic#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Czech Technical University, Faculty of Electrical Engineering, Department of Computer Science and Engineering, Karlovo n\u00e1m. 13, 12135 Prague 2, Czech Republic E-mail: zara@fel.cvut.cz","institution_ids":["https://openalex.org/I44504214"]},{"raw_affiliation_string":"Czech Technical University, Faculty of Electrical Engineering, Department of Computer Science and Engineering, Karlovo n\u00e1m. 13, 12135 Prague 2, Czech Republic#TAB#","institution_ids":["https://openalex.org/I44504214"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I44504214"],"apc_list":null,"apc_paid":null,"fwci":0.4521,"has_fulltext":true,"cited_by_count":26,"citation_normalized_percentile":{"value":0.65692415,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"2","issue":"4","first_page":"15","last_page":"23"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","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"}},"topics":[{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/tree-traversal","display_name":"Tree traversal","score":0.985691487789154},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.734121561050415},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6621793508529663},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.6502508521080017},{"id":"https://openalex.org/keywords/rendering","display_name":"Rendering (computer graphics)","score":0.5931792259216309},{"id":"https://openalex.org/keywords/k-d-tree","display_name":"k-d tree","score":0.575472891330719},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5511528849601746},{"id":"https://openalex.org/keywords/graph-traversal","display_name":"Graph traversal","score":0.5075260400772095},{"id":"https://openalex.org/keywords/tracing","display_name":"Tracing","score":0.48593178391456604},{"id":"https://openalex.org/keywords/ray-tracing","display_name":"Ray tracing (physics)","score":0.4330287575721741},{"id":"https://openalex.org/keywords/data-structure","display_name":"Data structure","score":0.4197162389755249},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26328039169311523},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.1527765393257141},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07944446802139282}],"concepts":[{"id":"https://openalex.org/C140745168","wikidata":"https://www.wikidata.org/wiki/Q1210082","display_name":"Tree traversal","level":2,"score":0.985691487789154},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.734121561050415},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6621793508529663},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.6502508521080017},{"id":"https://openalex.org/C205711294","wikidata":"https://www.wikidata.org/wiki/Q176953","display_name":"Rendering (computer graphics)","level":2,"score":0.5931792259216309},{"id":"https://openalex.org/C33721204","wikidata":"https://www.wikidata.org/wiki/Q309949","display_name":"k-d tree","level":3,"score":0.575472891330719},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5511528849601746},{"id":"https://openalex.org/C96333769","wikidata":"https://www.wikidata.org/wiki/Q907955","display_name":"Graph traversal","level":3,"score":0.5075260400772095},{"id":"https://openalex.org/C138673069","wikidata":"https://www.wikidata.org/wiki/Q322229","display_name":"Tracing","level":2,"score":0.48593178391456604},{"id":"https://openalex.org/C121483023","wikidata":"https://www.wikidata.org/wiki/Q7298343","display_name":"Ray tracing (physics)","level":2,"score":0.4330287575721741},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.4197162389755249},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26328039169311523},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.1527765393257141},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07944446802139282},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/10867651.1997.10487481","is_oa":true,"landing_page_url":"https://doi.org/10.1080/10867651.1997.10487481","pdf_url":"https://www.tandfonline.com/doi/abs/10.1080/10867651.1997.10487481","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:10.1.1.252.9650","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.252.9650","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cgg.cvut.cz/%7Ehavran/ARTICLES/havran98jgt.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1080/10867651.1997.10487481","is_oa":true,"landing_page_url":"https://doi.org/10.1080/10867651.1997.10487481","pdf_url":"https://www.tandfonline.com/doi/abs/10.1080/10867651.1997.10487481","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"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320309972","display_name":"\u010cesk\u00e9 Vysok\u00e9 U\u010den\u00ed Technick\u00e9 v Praze","ror":"https://ror.org/03kqpb082"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2069600201.pdf","grobid_xml":"https://content.openalex.org/works/W2069600201.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W1487859867","https://openalex.org/W1487936637","https://openalex.org/W1946694342","https://openalex.org/W2000697206","https://openalex.org/W2102022918","https://openalex.org/W2593976925"],"related_works":["https://openalex.org/W2571039174","https://openalex.org/W151008969","https://openalex.org/W2367083125","https://openalex.org/W2368829703","https://openalex.org/W2181425632","https://openalex.org/W2365664007","https://openalex.org/W1998170879","https://openalex.org/W2393783510","https://openalex.org/W3107197685","https://openalex.org/W2380473035"],"abstract_inverted_index":{"An":[0],"orthogonal":[1],"BSP":[2,23,63],"(binary":[3],"space":[4],"partitioning)":[5],"tree":[6,24],"is":[7],"a":[8,22,26,33,44,62],"commonly":[9],"used":[10],"spatial":[11],"subdivision":[12],"data":[13],"structure":[14],"for":[15],"ray-tracing":[16],"acceleration.":[17],"While":[18],"the":[19,30,38,59,98],"construction":[20],"of":[21,32,53,61,93],"takes":[25],"relatively":[27],"short":[28],"time,":[29],"efficiency":[31],"traversal":[34,47,60,81,94],"algorithm":[35,48,82],"significantly":[36],"influences":[37],"overall":[39],"rendering":[40],"time.":[41],"We":[42],"propose":[43],"new":[45],"fast":[46],"based":[49],"on":[50],"statistical":[51],"evaluation":[52],"all":[54,84],"possible":[55],"cases":[56,67],"occuring":[57],"during":[58],"tree.":[64],"More":[65],"frequent":[66,73],"are":[68,75],"handled":[69],"simply,":[70],"while":[71],"less":[72],"ones":[74],"more":[76],"computationally":[77],"expensive.":[78],"The":[79],"proposed":[80],"handles":[83],"singularities":[85],"correctly,":[86],"and":[87,91,101],"saves":[88],"between":[89],"30%":[90],"50%":[92],"time":[95],"compared":[96],"with":[97],"commonly-known":[99],"Sung":[100],"Arvo":[102],"algorithms.":[103]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
