{"id":"https://openalex.org/W3135533791","doi":"https://doi.org/10.1016/j.gmod.2021.101100","title":"Orthogonality of isometries in the conformal model of the 3D space","display_name":"Orthogonality of isometries in the conformal model of the 3D space","publication_year":2021,"publication_date":"2021-02-27","ids":{"openalex":"https://openalex.org/W3135533791","doi":"https://doi.org/10.1016/j.gmod.2021.101100","mag":"3135533791"},"language":"en","primary_location":{"id":"doi:10.1016/j.gmod.2021.101100","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.gmod.2021.101100","pdf_url":null,"source":{"id":"https://openalex.org/S137436721","display_name":"Graphical Models","issn_l":"1524-0703","issn":["1524-0703","1524-0711"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphical Models","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"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/A5076792725","display_name":"Carlile Lavor","orcid":"https://orcid.org/0000-0002-8105-3627"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Carlile Lavor","raw_affiliation_strings":["University of Campinas (IMECC-UNICAMP), Campinas, 13081-970 SP, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Campinas (IMECC-UNICAMP), Campinas, 13081-970 SP, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031494894","display_name":"Michael Souza","orcid":"https://orcid.org/0000-0001-6751-2877"},"institutions":[{"id":"https://openalex.org/I243754102","display_name":"Universidade Federal do Cear\u00e1","ror":"https://ror.org/03srtnf24","country_code":"BR","type":"education","lineage":["https://openalex.org/I243754102"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Michael Souza","raw_affiliation_strings":["Federal University of Ceara (UFC), Fortaleza, 60440-900 CE, Brazil"],"raw_orcid":"https://orcid.org/0000-0001-6751-2877","affiliations":[{"raw_affiliation_string":"Federal University of Ceara (UFC), Fortaleza, 60440-900 CE, Brazil","institution_ids":["https://openalex.org/I243754102"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051074286","display_name":"J. L. Arag\u00f3n","orcid":"https://orcid.org/0000-0001-7719-2942"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 Luis Arag\u00f3n","raw_affiliation_strings":["Centro de F\u00edsica Aplicada y Tecnolog\u00eda Avanzada, Universidad Nacional Aut\u00f3noma de M\u00e9xico (UNAM), Qu\u00e9retaro, 76230, Mexico"],"raw_orcid":"https://orcid.org/0000-0001-7719-2942","affiliations":[{"raw_affiliation_string":"Centro de F\u00edsica Aplicada y Tecnolog\u00eda Avanzada, Universidad Nacional Aut\u00f3noma de M\u00e9xico (UNAM), Qu\u00e9retaro, 76230, Mexico","institution_ids":["https://openalex.org/I8961855"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5076792725"],"corresponding_institution_ids":["https://openalex.org/I181391015"],"apc_list":{"value":1750,"currency":"USD","value_usd":1750},"apc_paid":null,"fwci":0.2827,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.52438194,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"114","issue":null,"first_page":"101100","last_page":"101100"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9937999844551086,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9937999844551086,"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/T12504","display_name":"Mathematics and Applications","score":0.9837999939918518,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9821000099182129,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/orthogonality","display_name":"Orthogonality","score":0.7761222124099731},{"id":"https://openalex.org/keywords/conformal-map","display_name":"Conformal map","score":0.690460205078125},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5259423851966858},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5215544700622559},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5113727450370789},{"id":"https://openalex.org/keywords/conformal-geometry","display_name":"Conformal geometry","score":0.4700300395488739},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.46504464745521545},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4461749196052551},{"id":"https://openalex.org/keywords/matrix-representation","display_name":"Matrix representation","score":0.4207509160041809},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.41334372758865356},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3924582600593567},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2915376126766205},{"id":"https://openalex.org/keywords/conformal-symmetry","display_name":"Conformal symmetry","score":0.24872660636901855},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13099440932273865},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.07856321334838867}],"concepts":[{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.7761222124099731},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.690460205078125},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5259423851966858},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5215544700622559},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5113727450370789},{"id":"https://openalex.org/C125669323","wikidata":"https://www.wikidata.org/wiki/Q513175","display_name":"Conformal geometry","level":4,"score":0.4700300395488739},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.46504464745521545},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4461749196052551},{"id":"https://openalex.org/C103275481","wikidata":"https://www.wikidata.org/wiki/Q6787889","display_name":"Matrix representation","level":3,"score":0.4207509160041809},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41334372758865356},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3924582600593567},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2915376126766205},{"id":"https://openalex.org/C173848574","wikidata":"https://www.wikidata.org/wiki/Q3507963","display_name":"Conformal symmetry","level":3,"score":0.24872660636901855},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13099440932273865},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.07856321334838867},{"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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":1,"locations":[{"id":"doi:10.1016/j.gmod.2021.101100","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.gmod.2021.101100","pdf_url":null,"source":{"id":"https://openalex.org/S137436721","display_name":"Graphical Models","issn_l":"1524-0703","issn":["1524-0703","1524-0711"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphical Models","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W26269069","https://openalex.org/W634394376","https://openalex.org/W1568842956","https://openalex.org/W1579028483","https://openalex.org/W1582195077","https://openalex.org/W1595823061","https://openalex.org/W1600874933","https://openalex.org/W1720299948","https://openalex.org/W1879706276","https://openalex.org/W1999678567","https://openalex.org/W2003250847","https://openalex.org/W2008554055","https://openalex.org/W2019005479","https://openalex.org/W2050174852","https://openalex.org/W2058673062","https://openalex.org/W2072015843","https://openalex.org/W2116021467","https://openalex.org/W2149031978","https://openalex.org/W2305696339","https://openalex.org/W2481578392","https://openalex.org/W2509399620","https://openalex.org/W2614034010","https://openalex.org/W2812065559","https://openalex.org/W2896681342","https://openalex.org/W2902364122","https://openalex.org/W2947228006","https://openalex.org/W2953018250","https://openalex.org/W2989900259","https://openalex.org/W3033108960","https://openalex.org/W3033284618","https://openalex.org/W3167620181","https://openalex.org/W4230663566","https://openalex.org/W4230858787","https://openalex.org/W6634181417","https://openalex.org/W6634661284"],"related_works":["https://openalex.org/W3142049200","https://openalex.org/W1978451861","https://openalex.org/W4306177281","https://openalex.org/W2964115137","https://openalex.org/W1981285360","https://openalex.org/W4387904832","https://openalex.org/W2021741720","https://openalex.org/W4390594082","https://openalex.org/W1565449052","https://openalex.org/W2035425597"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}