{"id":"https://openalex.org/W1990268971","doi":"https://doi.org/10.1007/s003710100158","title":"A projectively invariant intersection test for polyhedra","display_name":"A projectively invariant intersection test for polyhedra","publication_year":2002,"publication_date":"2002-11-01","ids":{"openalex":"https://openalex.org/W1990268971","doi":"https://doi.org/10.1007/s003710100158","mag":"1990268971"},"language":"en","primary_location":{"id":"doi:10.1007/s003710100158","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s003710100158","pdf_url":null,"source":{"id":"https://openalex.org/S73060445","display_name":"The Visual Computer","issn_l":"0178-2789","issn":["0178-2789","1432-2315"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Visual Computer","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10261/30532","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048388116","display_name":"Federico Thomas","orcid":"https://orcid.org/0000-0001-9341-5528"},"institutions":[{"id":"https://openalex.org/I134820265","display_name":"Consejo Superior de Investigaciones Cient\u00edficas","ror":"https://ror.org/02gfc7t72","country_code":"ES","type":"government","lineage":["https://openalex.org/I134820265"]},{"id":"https://openalex.org/I4210093282","display_name":"Institut de Rob\u00f2tica i Inform\u00e0tica Industrial","ror":"https://ror.org/00mcdyn90","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I4210093282","https://openalex.org/I9617848"]},{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Federico Thomas","raw_affiliation_strings":["Institut de Rob\u00f2tica i Inform\u00e0tica Industrial (CSIC-UPC), Llorens Artigas 4-6, 2 planta, 08028 Barcelona, Spain,","Institut de Rob\u00f2tica i Inform\u00e0tica Industrial (CSIC-UPC), Llorens Artigas 4-6, 2 planta, 08028 Barcelona, Spain, E-mail: {fthomas,ctorras}@iri.upc.es, ES"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Rob\u00f2tica i Inform\u00e0tica Industrial (CSIC-UPC), Llorens Artigas 4-6, 2 planta, 08028 Barcelona, Spain,","institution_ids":["https://openalex.org/I9617848","https://openalex.org/I4210093282"]},{"raw_affiliation_string":"Institut de Rob\u00f2tica i Inform\u00e0tica Industrial (CSIC-UPC), Llorens Artigas 4-6, 2 planta, 08028 Barcelona, Spain, E-mail: {fthomas,ctorras}@iri.upc.es, ES","institution_ids":["https://openalex.org/I9617848","https://openalex.org/I134820265"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007639805","display_name":"Carme Torras","orcid":"https://orcid.org/0000-0002-2933-398X"},"institutions":[{"id":"https://openalex.org/I134820265","display_name":"Consejo Superior de Investigaciones Cient\u00edficas","ror":"https://ror.org/02gfc7t72","country_code":"ES","type":"government","lineage":["https://openalex.org/I134820265"]},{"id":"https://openalex.org/I4210093282","display_name":"Institut de Rob\u00f2tica i Inform\u00e0tica Industrial","ror":"https://ror.org/00mcdyn90","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I4210093282","https://openalex.org/I9617848"]},{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Carme Torras","raw_affiliation_strings":["Institut de Rob\u00f2tica i Inform\u00e0tica Industrial (CSIC-UPC), Llorens Artigas 4-6, 2 planta, 08028 Barcelona, Spain,","Institut de Rob\u00f2tica i Inform\u00e0tica Industrial (CSIC-UPC), Llorens Artigas 4-6, 2 planta, 08028 Barcelona, Spain, E-mail: {fthomas,ctorras}@iri.upc.es, ES"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Rob\u00f2tica i Inform\u00e0tica Industrial (CSIC-UPC), Llorens Artigas 4-6, 2 planta, 08028 Barcelona, Spain,","institution_ids":["https://openalex.org/I9617848","https://openalex.org/I4210093282"]},{"raw_affiliation_string":"Institut de Rob\u00f2tica i Inform\u00e0tica Industrial (CSIC-UPC), Llorens Artigas 4-6, 2 planta, 08028 Barcelona, Spain, E-mail: {fthomas,ctorras}@iri.upc.es, ES","institution_ids":["https://openalex.org/I9617848","https://openalex.org/I134820265"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3203,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.63243923,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"18","issue":"7","first_page":"405","last_page":"414"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9994999766349792,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9994999766349792,"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/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9944999814033508,"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":0.9937999844551086,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.8304857015609741},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.7489714026451111},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.605122447013855},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.5103554129600525},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5051904320716858},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.49786996841430664},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.455301970243454},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45348048210144043},{"id":"https://openalex.org/keywords/graphics","display_name":"Graphics","score":0.4341866970062256},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.377645343542099},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3683309257030487},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3361884355545044},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2915354371070862},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2259804606437683},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.19020819664001465}],"concepts":[{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.8304857015609741},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.7489714026451111},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.605122447013855},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.5103554129600525},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5051904320716858},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.49786996841430664},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.455301970243454},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45348048210144043},{"id":"https://openalex.org/C21442007","wikidata":"https://www.wikidata.org/wiki/Q1027879","display_name":"Graphics","level":2,"score":0.4341866970062256},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.377645343542099},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3683309257030487},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3361884355545044},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2915354371070862},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2259804606437683},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.19020819664001465},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s003710100158","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s003710100158","pdf_url":null,"source":{"id":"https://openalex.org/S73060445","display_name":"The Visual Computer","issn_l":"0178-2789","issn":["0178-2789","1432-2315"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Visual Computer","raw_type":"journal-article"},{"id":"pmh:oai:digital.csic.es:10261/30532","is_oa":true,"landing_page_url":"http://hdl.handle.net/10261/30532","pdf_url":null,"source":{"id":"https://openalex.org/S4306400616","display_name":"DIGITAL.CSIC (Spanish National Research Council (CSIC))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I134820265","host_organization_name":"Consejo Superior de Investigaciones Cient\u00edficas","host_organization_lineage":["https://openalex.org/I134820265"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Art\u00edculo"}],"best_oa_location":{"id":"pmh:oai:digital.csic.es:10261/30532","is_oa":true,"landing_page_url":"http://hdl.handle.net/10261/30532","pdf_url":null,"source":{"id":"https://openalex.org/S4306400616","display_name":"DIGITAL.CSIC (Spanish National Research Council (CSIC))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I134820265","host_organization_name":"Consejo Superior de Investigaciones Cient\u00edficas","host_organization_lineage":["https://openalex.org/I134820265"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Art\u00edculo"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W60175047","https://openalex.org/W72613748","https://openalex.org/W86384592","https://openalex.org/W115622331","https://openalex.org/W119799004","https://openalex.org/W164451970","https://openalex.org/W203809554","https://openalex.org/W1516027685","https://openalex.org/W1861436941","https://openalex.org/W1971135470","https://openalex.org/W1983830205","https://openalex.org/W1991461030","https://openalex.org/W1993526279","https://openalex.org/W2005102720","https://openalex.org/W2008581147","https://openalex.org/W2009398710","https://openalex.org/W2012710379","https://openalex.org/W2013279615","https://openalex.org/W2028713840","https://openalex.org/W2037486738","https://openalex.org/W2051126060","https://openalex.org/W2051650914","https://openalex.org/W2087764435","https://openalex.org/W2090539871","https://openalex.org/W2100128373","https://openalex.org/W2115580611","https://openalex.org/W2136014417","https://openalex.org/W2424869853","https://openalex.org/W2911708461","https://openalex.org/W2912048335","https://openalex.org/W3022843553","https://openalex.org/W4206841737","https://openalex.org/W4240767555","https://openalex.org/W4243281607"],"related_works":["https://openalex.org/W2916043681","https://openalex.org/W2896131632","https://openalex.org/W4280529077","https://openalex.org/W2391438543","https://openalex.org/W2997473813","https://openalex.org/W2008231869","https://openalex.org/W323119424","https://openalex.org/W2551069560","https://openalex.org/W175452553","https://openalex.org/W4312417404"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}