{"id":"https://openalex.org/W2786407113","doi":"https://doi.org/10.1109/ssci.2017.8285179","title":"Using a multiobjective genetic algorithm for curve approximation","display_name":"Using a multiobjective genetic algorithm for curve approximation","publication_year":2017,"publication_date":"2017-11-01","ids":{"openalex":"https://openalex.org/W2786407113","doi":"https://doi.org/10.1109/ssci.2017.8285179","mag":"2786407113"},"language":"en","primary_location":{"id":"doi:10.1109/ssci.2017.8285179","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ssci.2017.8285179","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE Symposium Series on Computational Intelligence (SSCI)","raw_type":"proceedings-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/A5006756766","display_name":"Tim Sabsch","orcid":null},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke University Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Tim Sabsch","raw_affiliation_strings":["Department of Computer Science, Otto-von-Guericke-University Magdeburg Universitaetsplatz 2, Magdeburg, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Otto-von-Guericke-University Magdeburg Universitaetsplatz 2, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009940169","display_name":"Christian Braune","orcid":null},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke University Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christian Braune","raw_affiliation_strings":["Department of Computer Science, Otto-von-Guericke-University Magdeburg Universitaetsplatz 2, Magdeburg, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Otto-von-Guericke-University Magdeburg Universitaetsplatz 2, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006873204","display_name":"Alexander Dockhorn","orcid":"https://orcid.org/0000-0001-8711-7428"},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke University Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Alexander Dockhorn","raw_affiliation_strings":["Department of Computer Science, Otto-von-Guericke-University Magdeburg Universitaetsplatz 2, Magdeburg, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Otto-von-Guericke-University Magdeburg Universitaetsplatz 2, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082293980","display_name":"Rudolf Kruse","orcid":"https://orcid.org/0000-0003-4981-2758"},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke University Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Rudolf Kruse","raw_affiliation_strings":["Department of Computer Science, Otto-von-Guericke-University Magdeburg Universitaetsplatz 2, Magdeburg, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Otto-von-Guericke-University Magdeburg Universitaetsplatz 2, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5006756766"],"corresponding_institution_ids":["https://openalex.org/I95793202"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.21153543,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"21","issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9987999796867371,"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":0.9987999796867371,"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/T11164","display_name":"Remote Sensing and LiDAR Applications","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11211","display_name":"3D Surveying and Cultural Heritage","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/1907","display_name":"Geology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/point-cloud","display_name":"Point cloud","score":0.7274028062820435},{"id":"https://openalex.org/keywords/curve-fitting","display_name":"Curve fitting","score":0.69249027967453},{"id":"https://openalex.org/keywords/parametric-equation","display_name":"Parametric equation","score":0.6796155571937561},{"id":"https://openalex.org/keywords/control-point","display_name":"Control point","score":0.5996277928352356},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5886256694793701},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5700476169586182},{"id":"https://openalex.org/keywords/genetic-algorithm","display_name":"Genetic algorithm","score":0.5629516839981079},{"id":"https://openalex.org/keywords/raster-data","display_name":"Raster data","score":0.5492579340934753},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5315577387809753},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5136789679527283},{"id":"https://openalex.org/keywords/raster-graphics","display_name":"Raster graphics","score":0.5010132789611816},{"id":"https://openalex.org/keywords/data-point","display_name":"Data point","score":0.45867475867271423},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.43360552191734314},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.4268420338630676},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3498227000236511},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3485258221626282},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.288038432598114},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.20730167627334595},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13466408848762512},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11267441511154175}],"concepts":[{"id":"https://openalex.org/C131979681","wikidata":"https://www.wikidata.org/wiki/Q1899648","display_name":"Point cloud","level":2,"score":0.7274028062820435},{"id":"https://openalex.org/C184389593","wikidata":"https://www.wikidata.org/wiki/Q603159","display_name":"Curve fitting","level":2,"score":0.69249027967453},{"id":"https://openalex.org/C99636146","wikidata":"https://www.wikidata.org/wiki/Q35889","display_name":"Parametric equation","level":2,"score":0.6796155571937561},{"id":"https://openalex.org/C2777774050","wikidata":"https://www.wikidata.org/wiki/Q16945110","display_name":"Control point","level":2,"score":0.5996277928352356},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5886256694793701},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5700476169586182},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.5629516839981079},{"id":"https://openalex.org/C2692088","wikidata":"https://www.wikidata.org/wiki/Q182270","display_name":"Raster data","level":3,"score":0.5492579340934753},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5315577387809753},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5136789679527283},{"id":"https://openalex.org/C181844469","wikidata":"https://www.wikidata.org/wiki/Q182270","display_name":"Raster graphics","level":2,"score":0.5010132789611816},{"id":"https://openalex.org/C21080849","wikidata":"https://www.wikidata.org/wiki/Q13611879","display_name":"Data point","level":2,"score":0.45867475867271423},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.43360552191734314},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.4268420338630676},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3498227000236511},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3485258221626282},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.288038432598114},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.20730167627334595},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13466408848762512},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11267441511154175},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ssci.2017.8285179","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ssci.2017.8285179","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE Symposium Series on Computational Intelligence (SSCI)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W69491799","https://openalex.org/W814925967","https://openalex.org/W1564638059","https://openalex.org/W1974102081","https://openalex.org/W2012876210","https://openalex.org/W2022485595","https://openalex.org/W2032576256","https://openalex.org/W2042757782","https://openalex.org/W2046681812","https://openalex.org/W2050684905","https://openalex.org/W2073282051","https://openalex.org/W2079934996","https://openalex.org/W2086406949","https://openalex.org/W2093815013","https://openalex.org/W2126105956","https://openalex.org/W2129121943","https://openalex.org/W2135407189","https://openalex.org/W2146697392","https://openalex.org/W2588841993","https://openalex.org/W3021861071","https://openalex.org/W4243751566","https://openalex.org/W6679055552"],"related_works":["https://openalex.org/W2162968378","https://openalex.org/W2156220498","https://openalex.org/W1538097750","https://openalex.org/W2128165404","https://openalex.org/W4220831934","https://openalex.org/W185252163","https://openalex.org/W2408052914","https://openalex.org/W2786407113","https://openalex.org/W3141250720","https://openalex.org/W2007895026"],"abstract_inverted_index":{"Fitting":[0],"a":[1,10,108,157],"parametric":[2],"curve":[3,75,109,153],"to":[4,20,31,53,62,71,97],"unordered":[5],"point":[6,28,99],"cloud":[7,100],"data":[8,18,135],"is":[9,77],"frequently":[11],"encountered":[12],"problem":[13],"in":[14,79,162],"areas,":[15],"where":[16],"raster":[17],"has":[19,90],"be":[21,32],"vectorized,":[22],"or":[23,49],"advanced":[24],"geometric":[25,40],"descriptors":[26],"of":[27,68,74,104,107,132,140,146,152],"clouds":[29],"are":[30,50],"found.":[33],"Existing":[34],"approaches":[35],"often":[36],"struggle":[37],"with":[38],"certain":[39],"properties,":[41],"such":[42],"as":[43,110],"varying":[44],"density,":[45],"self-intersections,":[46],"sharp":[47],"corners,":[48],"only":[51],"designed":[52],"handle":[54],"low-dimensional":[55],"and":[56,101,126,155],"discrete":[57],"data.":[58],"With":[59],"the":[60,66,72,84,95,98,102,117,122,127,133,141,144,150],"purpose":[61],"overcome":[63],"these":[64],"difficulties,":[65],"applicability":[67],"evolutionary":[69,123],"algorithms":[70,148],"topic":[73,151],"approximation":[76],"studied":[78],"this":[80,163],"work.":[81],"Based":[82],"on":[83],"popular":[85],"algorithm":[86],"NSGA-II,":[87],"an":[88],"implementation":[89],"been":[91],"developed":[92],"that":[93,116],"uses":[94],"distance":[96],"number":[103],"control":[105,121],"points":[106],"objective":[111,119],"functions.":[112],"The":[113,138],"evaluation":[114],"reveals":[115],"proposed":[118],"functions":[120],"process":[124],"well,":[125],"final":[128],"curves":[129],"fit":[130],"most":[131],"evaluated":[134],"sets":[136],"correctly.":[137],"results":[139],"study":[142],"indicate":[143],"usefulness":[145],"genetic":[147],"for":[149,159],"fitting":[154],"form":[156],"basis":[158],"future":[160],"research":[161],"area.":[164]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}