{"id":"https://openalex.org/W1966574929","doi":"https://doi.org/10.1016/0734-189x(83)90055-5","title":"Closed-form extension of the anharmonic ratio to N-space","display_name":"Closed-form extension of the anharmonic ratio to N-space","publication_year":1983,"publication_date":"1983-07-01","ids":{"openalex":"https://openalex.org/W1966574929","doi":"https://doi.org/10.1016/0734-189x(83)90055-5","mag":"1966574929"},"language":"en","primary_location":{"id":"doi:10.1016/0734-189x(83)90055-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0734-189x(83)90055-5","pdf_url":null,"source":{"id":"https://openalex.org/S4210212310","display_name":"Computer Vision Graphics and Image Processing","issn_l":"0734-189X","issn":["0734-189X","1557-895X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319955","host_organization_name":"Academic Press","host_organization_lineage":["https://openalex.org/P4310319955","https://openalex.org/P4310320990"],"host_organization_lineage_names":["Academic Press","Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Vision, Graphics, and Image Processing","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/A5078458798","display_name":"Michael H. Brill","orcid":"https://orcid.org/0000-0002-9812-0363"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Michael H Brill","raw_affiliation_strings":["JAYCOR 205 South Whiting Street, Alexandria, Virginia 22304, USA"],"affiliations":[{"raw_affiliation_string":"JAYCOR 205 South Whiting Street, Alexandria, Virginia 22304, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108444275","display_name":"Eamon B. Barrett","orcid":null},"institutions":[{"id":"https://openalex.org/I4210143979","display_name":"Systems Technology (United States)","ror":"https://ror.org/04cv8g472","country_code":"US","type":"company","lineage":["https://openalex.org/I4210143979"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eamon B Barrett","raw_affiliation_strings":["Smart Systems Technology, P.O. Box 9164, Alexandria, Virginia 22304, USA"],"affiliations":[{"raw_affiliation_string":"Smart Systems Technology, P.O. Box 9164, Alexandria, Virginia 22304, USA","institution_ids":["https://openalex.org/I4210143979"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5078458798"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.09978918,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"23","issue":"1","first_page":"92","last_page":"98"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10638","display_name":"Optical measurement and interference techniques","score":0.9861000180244446,"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/T10638","display_name":"Optical measurement and interference techniques","score":0.9861000180244446,"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/T11666","display_name":"Color Science and Applications","score":0.9733999967575073,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12983","display_name":"Satellite Image Processing and Photogrammetry","score":0.95660001039505,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cross-ratio","display_name":"Cross-ratio","score":0.8453464508056641},{"id":"https://openalex.org/keywords/projective-space","display_name":"Projective space","score":0.7389830350875854},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5827825665473938},{"id":"https://openalex.org/keywords/projective-test","display_name":"Projective test","score":0.5717037916183472},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5703586935997009},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.568405032157898},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5509093999862671},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5294149518013},{"id":"https://openalex.org/keywords/quaternionic-projective-space","display_name":"Quaternionic projective space","score":0.502180814743042},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.43220216035842896},{"id":"https://openalex.org/keywords/complex-projective-space","display_name":"Complex projective space","score":0.430675745010376},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39350906014442444},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16616684198379517},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.1109357476234436}],"concepts":[{"id":"https://openalex.org/C101586328","wikidata":"https://www.wikidata.org/wiki/Q899539","display_name":"Cross-ratio","level":2,"score":0.8453464508056641},{"id":"https://openalex.org/C75280867","wikidata":"https://www.wikidata.org/wiki/Q877775","display_name":"Projective space","level":3,"score":0.7389830350875854},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5827825665473938},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.5717037916183472},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5703586935997009},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.568405032157898},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5509093999862671},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5294149518013},{"id":"https://openalex.org/C84407019","wikidata":"https://www.wikidata.org/wiki/Q2724480","display_name":"Quaternionic projective space","level":5,"score":0.502180814743042},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.43220216035842896},{"id":"https://openalex.org/C132702353","wikidata":"https://www.wikidata.org/wiki/Q2538404","display_name":"Complex projective space","level":4,"score":0.430675745010376},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39350906014442444},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16616684198379517},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.1109357476234436},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0734-189x(83)90055-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0734-189x(83)90055-5","pdf_url":null,"source":{"id":"https://openalex.org/S4210212310","display_name":"Computer Vision Graphics and Image Processing","issn_l":"0734-189X","issn":["0734-189X","1557-895X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319955","host_organization_name":"Academic Press","host_organization_lineage":["https://openalex.org/P4310319955","https://openalex.org/P4310320990"],"host_organization_lineage_names":["Academic Press","Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Vision, Graphics, and Image Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5199999809265137}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1964261235","https://openalex.org/W2064791171","https://openalex.org/W2088849220","https://openalex.org/W2800394774","https://openalex.org/W3017143921"],"related_works":["https://openalex.org/W4233509437","https://openalex.org/W3104164025","https://openalex.org/W1977021162","https://openalex.org/W2964141497","https://openalex.org/W776110092","https://openalex.org/W764519735","https://openalex.org/W2015277901","https://openalex.org/W2294242384","https://openalex.org/W1577341106","https://openalex.org/W2001898760"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":13},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
