{"id":"https://openalex.org/W1987995072","doi":"https://doi.org/10.1007/s00200-011-0149-1","title":"Envelope computation in the plane by approximate implicitization","display_name":"Envelope computation in the plane by approximate implicitization","publication_year":2011,"publication_date":"2011-07-29","ids":{"openalex":"https://openalex.org/W1987995072","doi":"https://doi.org/10.1007/s00200-011-0149-1","mag":"1987995072"},"language":"en","primary_location":{"id":"doi:10.1007/s00200-011-0149-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-011-0149-1","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":"https://openalex.org/A5055593271","display_name":"Tino Schulz","orcid":null},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Tino Schulz","raw_affiliation_strings":["Institute of Applied Geometry, Johannes Kepler University of Linz, Linz, Austria","Johannes Kepler University of Linz, Institute of Applied Geometry, Linz, Austria#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Applied Geometry, Johannes Kepler University of Linz, Linz, Austria","institution_ids":["https://openalex.org/I121883995"]},{"raw_affiliation_string":"Johannes Kepler University of Linz, Institute of Applied Geometry, Linz, Austria#TAB#","institution_ids":["https://openalex.org/I121883995"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045854462","display_name":"Bert J\u00fcttler","orcid":"https://orcid.org/0000-0002-5518-7795"},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Bert J\u00fcttler","raw_affiliation_strings":["Institute of Applied Geometry, Johannes Kepler University of Linz, Linz, Austria","Johannes Kepler University of Linz, Institute of Applied Geometry, Linz, Austria#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Applied Geometry, Johannes Kepler University of Linz, Linz, Austria","institution_ids":["https://openalex.org/I121883995"]},{"raw_affiliation_string":"Johannes Kepler University of Linz, Institute of Applied Geometry, Linz, Austria#TAB#","institution_ids":["https://openalex.org/I121883995"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5055593271"],"corresponding_institution_ids":["https://openalex.org/I121883995"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.1141,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.85974641,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"22","issue":"4","first_page":"265","last_page":"288"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":1.0,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9868000149726868,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.978600025177002,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/envelope","display_name":"Envelope (radar)","score":0.8300104141235352},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.7211929559707642},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6757904887199402},{"id":"https://openalex.org/keywords/parameter-space","display_name":"Parameter space","score":0.5786842107772827},{"id":"https://openalex.org/keywords/algebraic-curve","display_name":"Algebraic curve","score":0.5722230672836304},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5699650645256042},{"id":"https://openalex.org/keywords/plane-curve","display_name":"Plane curve","score":0.5637481212615967},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.5281213521957397},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5006411075592041},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4996316432952881},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.4737449586391449},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.43853557109832764},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.42440199851989746},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4146539270877838},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3804379105567932},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3587733209133148},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.31019240617752075},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.233162522315979},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20354700088500977},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1795596480369568}],"concepts":[{"id":"https://openalex.org/C65155139","wikidata":"https://www.wikidata.org/wiki/Q5380912","display_name":"Envelope (radar)","level":3,"score":0.8300104141235352},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7211929559707642},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6757904887199402},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.5786842107772827},{"id":"https://openalex.org/C207043602","wikidata":"https://www.wikidata.org/wiki/Q266237","display_name":"Algebraic curve","level":2,"score":0.5722230672836304},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5699650645256042},{"id":"https://openalex.org/C43809302","wikidata":"https://www.wikidata.org/wiki/Q1060874","display_name":"Plane curve","level":2,"score":0.5637481212615967},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.5281213521957397},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5006411075592041},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4996316432952881},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.4737449586391449},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.43853557109832764},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.42440199851989746},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4146539270877838},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3804379105567932},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3587733209133148},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.31019240617752075},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.233162522315979},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20354700088500977},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1795596480369568},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00200-011-0149-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-011-0149-1","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W14739149","https://openalex.org/W59592430","https://openalex.org/W147817870","https://openalex.org/W231067074","https://openalex.org/W365028950","https://openalex.org/W1485469265","https://openalex.org/W1490867194","https://openalex.org/W1532721371","https://openalex.org/W1600752240","https://openalex.org/W1978015690","https://openalex.org/W1988087266","https://openalex.org/W1993827762","https://openalex.org/W2002831093","https://openalex.org/W2002983110","https://openalex.org/W2007283669","https://openalex.org/W2015260762","https://openalex.org/W2048472066","https://openalex.org/W2070076125","https://openalex.org/W2079619896","https://openalex.org/W2088782186","https://openalex.org/W2091084189","https://openalex.org/W2093715791","https://openalex.org/W2096010762","https://openalex.org/W2144985754","https://openalex.org/W2486876072","https://openalex.org/W2493823730","https://openalex.org/W2798909945","https://openalex.org/W2912685169","https://openalex.org/W3144205924","https://openalex.org/W4206311976","https://openalex.org/W4245211388","https://openalex.org/W4247833119","https://openalex.org/W4248826752"],"related_works":["https://openalex.org/W2030471012","https://openalex.org/W2051712499","https://openalex.org/W2550122689","https://openalex.org/W1498993739","https://openalex.org/W1647114756","https://openalex.org/W4245708675","https://openalex.org/W285356538","https://openalex.org/W1967787874","https://openalex.org/W2031947084","https://openalex.org/W2313634971"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
