{"id":"https://openalex.org/W2079587251","doi":"https://doi.org/10.1016/0262-8856(91)90023-i","title":"Projectively invariant representations using implicit algebraic curves","display_name":"Projectively invariant representations using implicit algebraic curves","publication_year":1991,"publication_date":"1991-04-01","ids":{"openalex":"https://openalex.org/W2079587251","doi":"https://doi.org/10.1016/0262-8856(91)90023-i","mag":"2079587251"},"language":"en","primary_location":{"id":"doi:10.1016/0262-8856(91)90023-i","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0262-8856(91)90023-i","pdf_url":null,"source":{"id":"https://openalex.org/S177430994","display_name":"Image and Vision Computing","issn_l":"0262-8856","issn":["0262-8856","1872-8138"],"is_oa":false,"is_in_doaj":false,"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":"Image and Vision 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/A5010851725","display_name":"David Forsyth","orcid":"https://orcid.org/0000-0002-2278-0752"},"institutions":[{"id":"https://openalex.org/I4210146410","display_name":"Science Oxford","ror":"https://ror.org/04j8yhy50","country_code":"GB","type":"nonprofit","lineage":["https://openalex.org/I4210146410"]},{"id":"https://openalex.org/I2802123492","display_name":"Oxford Research Group","ror":"https://ror.org/00z4w4f29","country_code":"GB","type":"nonprofit","lineage":["https://openalex.org/I2802123492"]},{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"David Forsyth","raw_affiliation_strings":["Robotics Research Group, Department of Engineering Science, Oxford University, UK","Robotics Research Group Department of Engineering Science, Oxford University, UK"],"affiliations":[{"raw_affiliation_string":"Robotics Research Group, Department of Engineering Science, Oxford University, UK","institution_ids":["https://openalex.org/I2802123492","https://openalex.org/I40120149","https://openalex.org/I4210146410"]},{"raw_affiliation_string":"Robotics Research Group Department of Engineering Science, Oxford University, UK","institution_ids":["https://openalex.org/I40120149","https://openalex.org/I4210146410"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005220729","display_name":"Joseph L. Mundy","orcid":"https://orcid.org/0000-0002-6534-2736"},"institutions":[{"id":"https://openalex.org/I4210146410","display_name":"Science Oxford","ror":"https://ror.org/04j8yhy50","country_code":"GB","type":"nonprofit","lineage":["https://openalex.org/I4210146410"]},{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]},{"id":"https://openalex.org/I2802123492","display_name":"Oxford Research Group","ror":"https://ror.org/00z4w4f29","country_code":"GB","type":"nonprofit","lineage":["https://openalex.org/I2802123492"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Joseph L Mundy","raw_affiliation_strings":["Robotics Research Group, Department of Engineering Science, Oxford University, UK","Robotics Research Group Department of Engineering Science, Oxford University, UK"],"affiliations":[{"raw_affiliation_string":"Robotics Research Group, Department of Engineering Science, Oxford University, UK","institution_ids":["https://openalex.org/I2802123492","https://openalex.org/I40120149","https://openalex.org/I4210146410"]},{"raw_affiliation_string":"Robotics Research Group Department of Engineering Science, Oxford University, UK","institution_ids":["https://openalex.org/I40120149","https://openalex.org/I4210146410"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057678172","display_name":"Andrew Zisserman","orcid":"https://orcid.org/0000-0002-8945-8573"},"institutions":[{"id":"https://openalex.org/I4210146410","display_name":"Science Oxford","ror":"https://ror.org/04j8yhy50","country_code":"GB","type":"nonprofit","lineage":["https://openalex.org/I4210146410"]},{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]},{"id":"https://openalex.org/I2802123492","display_name":"Oxford Research Group","ror":"https://ror.org/00z4w4f29","country_code":"GB","type":"nonprofit","lineage":["https://openalex.org/I2802123492"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Andrew Zisserman","raw_affiliation_strings":["Robotics Research Group, Department of Engineering Science, Oxford University, UK","Robotics Research Group Department of Engineering Science, Oxford University, UK"],"affiliations":[{"raw_affiliation_string":"Robotics Research Group, Department of Engineering Science, Oxford University, UK","institution_ids":["https://openalex.org/I2802123492","https://openalex.org/I40120149","https://openalex.org/I4210146410"]},{"raw_affiliation_string":"Robotics Research Group Department of Engineering Science, Oxford University, UK","institution_ids":["https://openalex.org/I40120149","https://openalex.org/I4210146410"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101661745","display_name":"Christopher M. Brown","orcid":"https://orcid.org/0000-0001-6850-9055"},"institutions":[{"id":"https://openalex.org/I4210146410","display_name":"Science Oxford","ror":"https://ror.org/04j8yhy50","country_code":"GB","type":"nonprofit","lineage":["https://openalex.org/I4210146410"]},{"id":"https://openalex.org/I2802123492","display_name":"Oxford Research Group","ror":"https://ror.org/00z4w4f29","country_code":"GB","type":"nonprofit","lineage":["https://openalex.org/I2802123492"]},{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Christopher M Brown","raw_affiliation_strings":["Robotics Research Group, Department of Engineering Science, Oxford University, UK","Robotics Research Group Department of Engineering Science, Oxford University, UK"],"affiliations":[{"raw_affiliation_string":"Robotics Research Group, Department of Engineering Science, Oxford University, UK","institution_ids":["https://openalex.org/I2802123492","https://openalex.org/I40120149","https://openalex.org/I4210146410"]},{"raw_affiliation_string":"Robotics Research Group Department of Engineering Science, Oxford University, UK","institution_ids":["https://openalex.org/I40120149","https://openalex.org/I4210146410"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5010851725"],"corresponding_institution_ids":["https://openalex.org/I2802123492","https://openalex.org/I40120149","https://openalex.org/I4210146410"],"apc_list":{"value":2270,"currency":"USD","value_usd":2270},"apc_paid":null,"fwci":4.5766,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.9481364,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"9","issue":"2","first_page":"130","last_page":"136"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9993000030517578,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9993000030517578,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9944999814033508,"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/T12549","display_name":"Image and Object Detection Techniques","score":0.9911999702453613,"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/conic-section","display_name":"Conic section","score":0.7937045097351074},{"id":"https://openalex.org/keywords/algebraic-curve","display_name":"Algebraic curve","score":0.7026352286338806},{"id":"https://openalex.org/keywords/plane-curve","display_name":"Plane curve","score":0.702239990234375},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6974988579750061},{"id":"https://openalex.org/keywords/pencil","display_name":"Pencil (optics)","score":0.6263777017593384},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.6227936744689941},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5588809847831726},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5482485890388489},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.44460245966911316},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4254525303840637},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36724722385406494},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34678494930267334},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30430448055267334},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.27121174335479736},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21743538975715637}],"concepts":[{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.7937045097351074},{"id":"https://openalex.org/C207043602","wikidata":"https://www.wikidata.org/wiki/Q266237","display_name":"Algebraic curve","level":2,"score":0.7026352286338806},{"id":"https://openalex.org/C43809302","wikidata":"https://www.wikidata.org/wiki/Q1060874","display_name":"Plane curve","level":2,"score":0.702239990234375},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6974988579750061},{"id":"https://openalex.org/C134949993","wikidata":"https://www.wikidata.org/wiki/Q2068617","display_name":"Pencil (optics)","level":2,"score":0.6263777017593384},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6227936744689941},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5588809847831726},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5482485890388489},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.44460245966911316},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4254525303840637},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36724722385406494},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34678494930267334},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30430448055267334},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.27121174335479736},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21743538975715637},{"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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0262-8856(91)90023-i","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0262-8856(91)90023-i","pdf_url":null,"source":{"id":"https://openalex.org/S177430994","display_name":"Image and Vision Computing","issn_l":"0262-8856","issn":["0262-8856","1872-8138"],"is_oa":false,"is_in_doaj":false,"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":"Image and Vision Computing","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":18,"referenced_works":["https://openalex.org/W1728724812","https://openalex.org/W1756736144","https://openalex.org/W1969096799","https://openalex.org/W1981609785","https://openalex.org/W2045181334","https://openalex.org/W2067719779","https://openalex.org/W2068204893","https://openalex.org/W2107048539","https://openalex.org/W2119947613","https://openalex.org/W2129690011","https://openalex.org/W2141253842","https://openalex.org/W2177648596","https://openalex.org/W3000400585","https://openalex.org/W6637412085","https://openalex.org/W6637872014","https://openalex.org/W6675967781","https://openalex.org/W6677097147","https://openalex.org/W6680809962"],"related_works":["https://openalex.org/W178142500","https://openalex.org/W2470944412","https://openalex.org/W1643948452","https://openalex.org/W2057340168","https://openalex.org/W304809333","https://openalex.org/W4367860405","https://openalex.org/W2373292822","https://openalex.org/W2494232088","https://openalex.org/W1222687310","https://openalex.org/W2183463566"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}