{"id":"https://openalex.org/W33640052","doi":"https://doi.org/10.1023/a:1009921806032","title":"Robust and Efficient Ray Intersection of Implicit Surfaces","display_name":"Robust and Efficient Ray Intersection of Implicit Surfaces","publication_year":2000,"publication_date":"2000-02-01","ids":{"openalex":"https://openalex.org/W33640052","doi":"https://doi.org/10.1023/a:1009921806032","mag":"33640052"},"language":"en","primary_location":{"id":"doi:10.1023/a:1009921806032","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1009921806032","pdf_url":null,"source":{"id":"https://openalex.org/S64721560","display_name":"Reliable Computing","issn_l":"1385-3139","issn":["1385-3139","1573-1340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Reliable Computing","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/A5007775351","display_name":"Ole Caprani","orcid":null},"institutions":[{"id":"https://openalex.org/I204337017","display_name":"Aarhus University","ror":"https://ror.org/01aj84f44","country_code":"DK","type":"education","lineage":["https://openalex.org/I204337017"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"Ole Caprani","raw_affiliation_strings":["Computer Science Department, Aarhus University, Denmark"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Aarhus University, Denmark","institution_ids":["https://openalex.org/I204337017"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002362510","display_name":"Lars Hvidegaard","orcid":null},"institutions":[{"id":"https://openalex.org/I204337017","display_name":"Aarhus University","ror":"https://ror.org/01aj84f44","country_code":"DK","type":"education","lineage":["https://openalex.org/I204337017"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Lars Hvidegaard","raw_affiliation_strings":["Computer Science Department, Aarhus University, Denmark"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Aarhus University, Denmark","institution_ids":["https://openalex.org/I204337017"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012536303","display_name":"Mikkel Mortensen","orcid":null},"institutions":[{"id":"https://openalex.org/I204337017","display_name":"Aarhus University","ror":"https://ror.org/01aj84f44","country_code":"DK","type":"education","lineage":["https://openalex.org/I204337017"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Mikkel Mortensen","raw_affiliation_strings":["Computer Science Department, Aarhus University, Denmark"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Aarhus University, Denmark","institution_ids":["https://openalex.org/I204337017"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100724917","display_name":"Thomas Schneider","orcid":"https://orcid.org/0000-0001-8090-1316"},"institutions":[{"id":"https://openalex.org/I204337017","display_name":"Aarhus University","ror":"https://ror.org/01aj84f44","country_code":"DK","type":"education","lineage":["https://openalex.org/I204337017"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Thomas Schneider","raw_affiliation_strings":["Computer Science Department, Aarhus University, Denmark"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Aarhus University, Denmark","institution_ids":["https://openalex.org/I204337017"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5007775351"],"corresponding_institution_ids":["https://openalex.org/I204337017"],"apc_list":null,"apc_paid":null,"fwci":1.101,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.74002222,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"6","issue":"1","first_page":"9","last_page":"21"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9997000098228455,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9969000220298767,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/mathematics","display_name":"Mathematics","score":0.7178636789321899},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.5984538197517395},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.5565106868743896},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.5391510128974915},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.4854762852191925},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4854196012020111},{"id":"https://openalex.org/keywords/bisection-method","display_name":"Bisection method","score":0.4440547525882721},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4377530813217163},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4243535101413727},{"id":"https://openalex.org/keywords/root-finding-algorithm","display_name":"Root-finding algorithm","score":0.4176012873649597},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40407127141952515},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3484305739402771},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34091535210609436},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2459120750427246},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23194247484207153},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.22127148509025574},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19131514430046082},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12558522820472717}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7178636789321899},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.5984538197517395},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.5565106868743896},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.5391510128974915},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4854762852191925},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4854196012020111},{"id":"https://openalex.org/C157544257","wikidata":"https://www.wikidata.org/wiki/Q866300","display_name":"Bisection method","level":2,"score":0.4440547525882721},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4377530813217163},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4243535101413727},{"id":"https://openalex.org/C194777461","wikidata":"https://www.wikidata.org/wiki/Q1085860","display_name":"Root-finding algorithm","level":3,"score":0.4176012873649597},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40407127141952515},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3484305739402771},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34091535210609436},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2459120750427246},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23194247484207153},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.22127148509025574},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19131514430046082},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12558522820472717},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1009921806032","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1009921806032","pdf_url":null,"source":{"id":"https://openalex.org/S64721560","display_name":"Reliable Computing","issn_l":"1385-3139","issn":["1385-3139","1573-1340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Reliable Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W53809769","https://openalex.org/W1487859867","https://openalex.org/W1566286882","https://openalex.org/W1604917823","https://openalex.org/W1971425543","https://openalex.org/W1993244675","https://openalex.org/W2020492229","https://openalex.org/W2060924166","https://openalex.org/W2075367494","https://openalex.org/W2128478018","https://openalex.org/W2152481451","https://openalex.org/W2154310673","https://openalex.org/W4244563123","https://openalex.org/W6660130656","https://openalex.org/W6743059417"],"related_works":["https://openalex.org/W2082564276","https://openalex.org/W4280521361","https://openalex.org/W2182383551","https://openalex.org/W2011303980","https://openalex.org/W2321175588","https://openalex.org/W3047332982","https://openalex.org/W3188005714","https://openalex.org/W4238482547","https://openalex.org/W2028044464","https://openalex.org/W2557315028"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
