{"id":"https://openalex.org/W2116087936","doi":"https://doi.org/10.1109/sibgra.2003.1240989","title":"Reliable algorithms for ray intersection in computer graphics based on interval arithmetic","display_name":"Reliable algorithms for ray intersection in computer graphics based on interval arithmetic","publication_year":2004,"publication_date":"2004-03-02","ids":{"openalex":"https://openalex.org/W2116087936","doi":"https://doi.org/10.1109/sibgra.2003.1240989","mag":"2116087936"},"language":"en","primary_location":{"id":"doi:10.1109/sibgra.2003.1240989","is_oa":false,"landing_page_url":"https://doi.org/10.1109/sibgra.2003.1240989","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"16th Brazilian Symposium on Computer Graphics and Image Processing (SIBGRAPI 2003)","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/A5080102508","display_name":"J. F. Sanjuan-Estrada","orcid":null},"institutions":[{"id":"https://openalex.org/I52354020","display_name":"University of Almer\u00eda","ror":"https://ror.org/003d3xx08","country_code":"ES","type":"education","lineage":["https://openalex.org/I52354020"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J.F. Sanjuan-Estrada","raw_affiliation_strings":["Department of Computer Architecture and Electronics, University of Almer\u00eda, Spain","Dept. of Comput. Archit. & Electron., Univ. of Almeria, Spain#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Architecture and Electronics, University of Almer\u00eda, Spain","institution_ids":["https://openalex.org/I52354020"]},{"raw_affiliation_string":"Dept. of Comput. Archit. & Electron., Univ. of Almeria, Spain#TAB#","institution_ids":["https://openalex.org/I52354020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056739213","display_name":"L. G. Casado","orcid":"https://orcid.org/0000-0001-8459-4982"},"institutions":[{"id":"https://openalex.org/I52354020","display_name":"University of Almer\u00eda","ror":"https://ror.org/003d3xx08","country_code":"ES","type":"education","lineage":["https://openalex.org/I52354020"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"L.G. Casado","raw_affiliation_strings":["Department of Computer Architecture and Electronics, University of Almer\u00eda, Spain","Dept. of Comput. Archit. & Electron., Univ. of Almeria, Spain#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Architecture and Electronics, University of Almer\u00eda, Spain","institution_ids":["https://openalex.org/I52354020"]},{"raw_affiliation_string":"Dept. of Comput. Archit. & Electron., Univ. of Almeria, Spain#TAB#","institution_ids":["https://openalex.org/I52354020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065759704","display_name":"I. Garc\u00eda","orcid":"https://orcid.org/0000-0002-1138-2118"},"institutions":[{"id":"https://openalex.org/I52354020","display_name":"University of Almer\u00eda","ror":"https://ror.org/003d3xx08","country_code":"ES","type":"education","lineage":["https://openalex.org/I52354020"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"I. Garcia","raw_affiliation_strings":["Department of Computer Architecture and Electronics, University of Almer\u00eda, Spain","Dept. of Comput. Archit. & Electron., Univ. of Almeria, Spain#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Architecture and Electronics, University of Almer\u00eda, Spain","institution_ids":["https://openalex.org/I52354020"]},{"raw_affiliation_string":"Dept. of Comput. Archit. & Electron., Univ. of Almeria, Spain#TAB#","institution_ids":["https://openalex.org/I52354020"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9965,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.86968839,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"35","last_page":"42"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9993000030517578,"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":0.9993000030517578,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9987999796867371,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9934999942779541,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/interval-arithmetic","display_name":"Interval arithmetic","score":0.8198240399360657},{"id":"https://openalex.org/keywords/affine-arithmetic","display_name":"Affine arithmetic","score":0.6958650350570679},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6421412825584412},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6395533680915833},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.5765591859817505},{"id":"https://openalex.org/keywords/rendering","display_name":"Rendering (computer graphics)","score":0.5732342600822449},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.530150294303894},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4736774265766144},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46793505549430847},{"id":"https://openalex.org/keywords/ray-tracing","display_name":"Ray tracing (physics)","score":0.4340248107910156},{"id":"https://openalex.org/keywords/graphics","display_name":"Graphics","score":0.41174086928367615},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41160088777542114},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22800171375274658},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.19940295815467834},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10227403044700623}],"concepts":[{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.8198240399360657},{"id":"https://openalex.org/C167315692","wikidata":"https://www.wikidata.org/wiki/Q3622729","display_name":"Affine arithmetic","level":3,"score":0.6958650350570679},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6421412825584412},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6395533680915833},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.5765591859817505},{"id":"https://openalex.org/C205711294","wikidata":"https://www.wikidata.org/wiki/Q176953","display_name":"Rendering (computer graphics)","level":2,"score":0.5732342600822449},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.530150294303894},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4736774265766144},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46793505549430847},{"id":"https://openalex.org/C121483023","wikidata":"https://www.wikidata.org/wiki/Q7298343","display_name":"Ray tracing (physics)","level":2,"score":0.4340248107910156},{"id":"https://openalex.org/C21442007","wikidata":"https://www.wikidata.org/wiki/Q1027879","display_name":"Graphics","level":2,"score":0.41174086928367615},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41160088777542114},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22800171375274658},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.19940295815467834},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10227403044700623},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/sibgra.2003.1240989","is_oa":false,"landing_page_url":"https://doi.org/10.1109/sibgra.2003.1240989","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"16th Brazilian Symposium on Computer Graphics and Image Processing (SIBGRAPI 2003)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.41999998688697815,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W15755586","https://openalex.org/W33640052","https://openalex.org/W123447461","https://openalex.org/W143150492","https://openalex.org/W1487859867","https://openalex.org/W1522616537","https://openalex.org/W1604917823","https://openalex.org/W1979608743","https://openalex.org/W2079115388","https://openalex.org/W2091555742","https://openalex.org/W2101766358","https://openalex.org/W2129480103","https://openalex.org/W2134029906","https://openalex.org/W2154310673","https://openalex.org/W2169964384","https://openalex.org/W2170120409","https://openalex.org/W3006026342","https://openalex.org/W4244563123","https://openalex.org/W4249516290","https://openalex.org/W6636048314"],"related_works":["https://openalex.org/W4256573882","https://openalex.org/W2030369001","https://openalex.org/W2085969366","https://openalex.org/W4285715689","https://openalex.org/W2353167536","https://openalex.org/W2363134432","https://openalex.org/W2131798279","https://openalex.org/W2162108547","https://openalex.org/W73680957","https://openalex.org/W2970598017"],"abstract_inverted_index":{"We":[0,14],"study":[1],"the":[2,27,44,51,86,100,110,117,121,138,145],"reliability":[3],"and":[4,17,144,155],"performance":[5],"of":[6,57,112,120,140],"interval":[7,21,118,142],"arithmetic":[8,22],"for":[9,32,42,68,89],"ray":[10,33],"tracing":[11],"implicit":[12,94],"surfaces.":[13],"analyze":[15],"when":[16],"how":[18],"to":[19,26,49,63,115],"use":[20],"as":[23,39,124],"an":[24],"alternative":[25],"methods":[28,36,108,128,146],"used":[29,147],"in":[30,54,77,148,150,156],"POV-Ray":[31,60,149],"intersection.":[34],"Interval":[35,80,107],"are":[37],"applied":[38],"robust":[40],"approaches":[41],"solving":[43],"ray-surface":[45],"intersection":[46],"problem;":[47],"i.e.":[48],"find":[50],"minimal":[52],"root":[53],"a":[55,78],"set":[56],"analytic":[58],"functions.":[59],"is":[61],"able":[62],"solve":[64],"this":[65],"problem":[66],"efficiently":[67],"relatively":[69],"simple":[70],"objects":[71,154],"(objects":[72],"that":[73],"can":[74,83],"be":[75,105],"bounded":[76],"box).":[79],"based":[81],"algorithms":[82,143],"speed":[84],"up":[85],"rendering":[87],"process":[88],"scenes":[90,151,158],"with":[91,152,159],"some":[92],"infinite":[93],"surfaces,":[95],"including":[96],"nondifferentiable":[97],"ones,":[98],"where":[99],"automatic":[101],"bounding":[102],"box":[103],"cannot":[104],"applied.":[106],"have":[109],"advantage":[111],"not":[113],"needing":[114],"provide":[116],"guess":[119],"maximum":[122],"gradient,":[123],"recursive":[125],"subdivision":[126],"equipotential":[127],"(used":[129],"by":[130],"POV-Ray)":[131],"does.":[132],"Experimental":[133],"results":[134],"were":[135],"obtained":[136],"from":[137],"evaluation":[139],"our":[141],"single":[153],"complex":[157],"several":[160],"objects.":[161]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}