{"id":"https://openalex.org/W1978926498","doi":"https://doi.org/10.1007/s002000200095","title":"Recognition of Polynomial Plane Curves Under Affine Transformations","display_name":"Recognition of Polynomial Plane Curves Under Affine Transformations","publication_year":2002,"publication_date":"2002-06-01","ids":{"openalex":"https://openalex.org/W1978926498","doi":"https://doi.org/10.1007/s002000200095","mag":"1978926498"},"language":"en","primary_location":{"id":"doi:10.1007/s002000200095","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002000200095","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"Applicable Algebra in Engineering, Communication and 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":null,"display_name":"Jorge Mozo-Fern\ufffdndez","orcid":null},"institutions":[{"id":"https://openalex.org/I108103353","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18","country_code":"ES","type":"education","lineage":["https://openalex.org/I108103353"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Jorge Mozo-Fern\ufffdndez","raw_affiliation_strings":["Department of Applied Mathematics (ETS. Arquitectura), University of Valladolid, Avda. Salamanca SN, 47014 Valladolid, Castilla, Spain (e-mail: jmozo@maf.uva.es, cmunuera@modulor.arq.uva.es), ES"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics (ETS. Arquitectura), University of Valladolid, Avda. Salamanca SN, 47014 Valladolid, Castilla, Spain (e-mail: jmozo@maf.uva.es, cmunuera@modulor.arq.uva.es), ES","institution_ids":["https://openalex.org/I108103353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067234767","display_name":"Carlos Munuera","orcid":"https://orcid.org/0000-0001-8386-3060"},"institutions":[{"id":"https://openalex.org/I108103353","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18","country_code":"ES","type":"education","lineage":["https://openalex.org/I108103353"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Carlos Munuera","raw_affiliation_strings":["Department of Applied Mathematics (ETS. Arquitectura), University of Valladolid, Avda. Salamanca SN, 47014 Valladolid, Castilla, Spain (e-mail: jmozo@maf.uva.es, cmunuera@modulor.arq.uva.es), , , , , , ES","Department of Applied Mathematics (ETS. Arquitectura), University of Valladolid, Avda. Salamanca SN, 47014 Valladolid, Castilla, Spain (e-mail: jmozo@maf.uva.es, cmunuera@modulor.arq.uva.es), ES"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics (ETS. Arquitectura), University of Valladolid, Avda. Salamanca SN, 47014 Valladolid, Castilla, Spain (e-mail: jmozo@maf.uva.es, cmunuera@modulor.arq.uva.es), , , , , , ES","institution_ids":["https://openalex.org/I108103353"]},{"raw_affiliation_string":"Department of Applied Mathematics (ETS. Arquitectura), University of Valladolid, Avda. Salamanca SN, 47014 Valladolid, Castilla, Spain (e-mail: jmozo@maf.uva.es, cmunuera@modulor.arq.uva.es), ES","institution_ids":["https://openalex.org/I108103353"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I108103353"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.10196197,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"13","issue":"2","first_page":"121","last_page":"136"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12549","display_name":"Image and Object Detection Techniques","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/T12549","display_name":"Image and Object Detection Techniques","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":0.9984999895095825,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9807999730110168,"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/affine-transformation","display_name":"Affine transformation","score":0.8502194881439209},{"id":"https://openalex.org/keywords/affine-plane","display_name":"Affine plane (incidence geometry)","score":0.8108748197555542},{"id":"https://openalex.org/keywords/plane-curve","display_name":"Plane curve","score":0.7355107069015503},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7246503829956055},{"id":"https://openalex.org/keywords/affine-hull","display_name":"Affine hull","score":0.5919782519340515},{"id":"https://openalex.org/keywords/algebraic-curve","display_name":"Algebraic curve","score":0.5792700052261353},{"id":"https://openalex.org/keywords/affine-combination","display_name":"Affine combination","score":0.5415554046630859},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5232052803039551},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5186528563499451},{"id":"https://openalex.org/keywords/affine-geometry","display_name":"Affine geometry","score":0.5004596710205078},{"id":"https://openalex.org/keywords/affine-shape-adaptation","display_name":"Affine shape adaptation","score":0.47194379568099976},{"id":"https://openalex.org/keywords/affine-geometry-of-curves","display_name":"Affine geometry of curves","score":0.46738874912261963},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.46651163697242737},{"id":"https://openalex.org/keywords/affine-space","display_name":"Affine space","score":0.46297094225883484},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3302096128463745},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3104022145271301},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26302483677864075}],"concepts":[{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.8502194881439209},{"id":"https://openalex.org/C154610627","wikidata":"https://www.wikidata.org/wiki/Q382491","display_name":"Affine plane (incidence geometry)","level":3,"score":0.8108748197555542},{"id":"https://openalex.org/C43809302","wikidata":"https://www.wikidata.org/wiki/Q1060874","display_name":"Plane curve","level":2,"score":0.7355107069015503},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7246503829956055},{"id":"https://openalex.org/C112128483","wikidata":"https://www.wikidata.org/wiki/Q382504","display_name":"Affine hull","level":4,"score":0.5919782519340515},{"id":"https://openalex.org/C207043602","wikidata":"https://www.wikidata.org/wiki/Q266237","display_name":"Algebraic curve","level":2,"score":0.5792700052261353},{"id":"https://openalex.org/C207221997","wikidata":"https://www.wikidata.org/wiki/Q938614","display_name":"Affine combination","level":3,"score":0.5415554046630859},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5232052803039551},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5186528563499451},{"id":"https://openalex.org/C23684344","wikidata":"https://www.wikidata.org/wiki/Q382520","display_name":"Affine geometry","level":4,"score":0.5004596710205078},{"id":"https://openalex.org/C18516315","wikidata":"https://www.wikidata.org/wiki/Q4688950","display_name":"Affine shape adaptation","level":4,"score":0.47194379568099976},{"id":"https://openalex.org/C202411454","wikidata":"https://www.wikidata.org/wiki/Q4688941","display_name":"Affine geometry of curves","level":4,"score":0.46738874912261963},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.46651163697242737},{"id":"https://openalex.org/C173110770","wikidata":"https://www.wikidata.org/wiki/Q382698","display_name":"Affine space","level":3,"score":0.46297094225883484},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3302096128463745},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3104022145271301},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26302483677864075}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s002000200095","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002000200095","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"Applicable Algebra in Engineering, Communication and 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":8,"referenced_works":["https://openalex.org/W1485995001","https://openalex.org/W2035740370","https://openalex.org/W2060027799","https://openalex.org/W2093518175","https://openalex.org/W2154610756","https://openalex.org/W2155208749","https://openalex.org/W2188750592","https://openalex.org/W2798442789"],"related_works":["https://openalex.org/W2673935","https://openalex.org/W2306105624","https://openalex.org/W3022853753","https://openalex.org/W3128259744","https://openalex.org/W2798263748","https://openalex.org/W2964008969","https://openalex.org/W2993652666","https://openalex.org/W1972920498","https://openalex.org/W2498386001","https://openalex.org/W4213445462"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
