{"id":"https://openalex.org/W1980220445","doi":"https://doi.org/10.1007/bf01780583","title":"Representation of continuous curves on the 3-dimensional rotation group","display_name":"Representation of continuous curves on the 3-dimensional rotation group","publication_year":1974,"publication_date":"1974-12-01","ids":{"openalex":"https://openalex.org/W1980220445","doi":"https://doi.org/10.1007/bf01780583","mag":"1980220445"},"language":"en","primary_location":{"id":"doi:10.1007/bf01780583","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01780583","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"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":"Mathematical Systems Theory","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/A5104056506","display_name":"James Lo","orcid":null},"institutions":[{"id":"https://openalex.org/I79272384","display_name":"University of Maryland, Baltimore County","ror":"https://ror.org/02qskvh78","country_code":"US","type":"education","lineage":["https://openalex.org/I79272384"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"James Ting-Ho Lo","raw_affiliation_strings":["Division of Mathematics and Physics, University of Maryland Baltimore County, 21228, Baltimore, Maryland, USA","Division of Mathematics and Physics, University of Maryland Baltimore County, Baltimore, USA"],"affiliations":[{"raw_affiliation_string":"Division of Mathematics and Physics, University of Maryland Baltimore County, 21228, Baltimore, Maryland, USA","institution_ids":["https://openalex.org/I79272384"]},{"raw_affiliation_string":"Division of Mathematics and Physics, University of Maryland Baltimore County, Baltimore, USA","institution_ids":["https://openalex.org/I79272384"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5104056506"],"corresponding_institution_ids":["https://openalex.org/I79272384"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.8262,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.74564041,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":"4","first_page":"368","last_page":"375"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9355999827384949,"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":0.9355999827384949,"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/group","display_name":"Group (periodic table)","score":0.6156463027000427},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.6107192039489746},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5803434252738953},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5747507214546204},{"id":"https://openalex.org/keywords/rotation-group-so","display_name":"Rotation group SO","score":0.4473947584629059},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.42723241448402405},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.37661442160606384},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3532957434654236},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16517633199691772}],"concepts":[{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.6156463027000427},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.6107192039489746},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5803434252738953},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5747507214546204},{"id":"https://openalex.org/C207570611","wikidata":"https://www.wikidata.org/wiki/Q1256500","display_name":"Rotation group SO","level":2,"score":0.4473947584629059},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42723241448402405},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.37661442160606384},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3532957434654236},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16517633199691772},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01780583","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01780583","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"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":"Mathematical Systems Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W179392144","https://openalex.org/W2133632163"],"related_works":["https://openalex.org/W2023156698","https://openalex.org/W2121718417","https://openalex.org/W1987499760","https://openalex.org/W1614674816","https://openalex.org/W4239494866","https://openalex.org/W1825635013","https://openalex.org/W2043704144","https://openalex.org/W2077255337","https://openalex.org/W4246868476","https://openalex.org/W2045374484"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
