{"id":"https://openalex.org/W3453908","doi":"https://doi.org/10.2312/egs.20011022","title":"Fractal approximation of surfaces based on projected IFS attractors","display_name":"Fractal approximation of surfaces based on projected IFS attractors","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W3453908","doi":"https://doi.org/10.2312/egs.20011022","mag":"3453908"},"language":"en","primary_location":{"id":"doi:10.2312/egs.20011022","is_oa":true,"landing_page_url":"https://doi.org/10.2312/egs.20011022","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.2312/egs.20011022","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075845136","display_name":"\u00c9ric Gu\u00e9rin","orcid":"https://orcid.org/0000-0002-2189-2728"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Guerin, Eric","raw_affiliation_strings":["Claude Bernard University, Lyon, France"],"affiliations":[{"raw_affiliation_string":"Claude Bernard University, Lyon, France","institution_ids":["https://openalex.org/I100532134"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014698127","display_name":"Eric Tosan","orcid":null},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Tosan, Eric","raw_affiliation_strings":["Claude Bernard University, Lyon, France"],"affiliations":[{"raw_affiliation_string":"Claude Bernard University, Lyon, France","institution_ids":["https://openalex.org/I100532134"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113504704","display_name":"Atilla Baskurt","orcid":null},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Baskurt, Atilla","raw_affiliation_strings":["Claude Bernard University, Lyon, France"],"affiliations":[{"raw_affiliation_string":"Claude Bernard University, Lyon, France","institution_ids":["https://openalex.org/I100532134"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5075845136"],"corresponding_institution_ids":["https://openalex.org/I100532134"],"apc_list":null,"apc_paid":null,"fwci":1.0209,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.7328116,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13049","display_name":"Surface Roughness and Optical Measurements","score":0.9061999917030334,"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/T13049","display_name":"Surface Roughness and Optical Measurements","score":0.9061999917030334,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.821068525314331},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.5668778419494629},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41804039478302},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37920528650283813},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22186344861984253}],"concepts":[{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.821068525314331},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.5668778419494629},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41804039478302},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37920528650283813},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22186344861984253}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2312/egs.20011022","is_oa":true,"landing_page_url":"https://doi.org/10.2312/egs.20011022","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"mag:3453908","is_oa":false,"landing_page_url":"https://diglib.eg.org:443/handle/10.2312/egs20011022","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Eurographics","raw_type":null}],"best_oa_location":{"id":"doi:10.2312/egs.20011022","is_oa":true,"landing_page_url":"https://doi.org/10.2312/egs.20011022","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1986273994","https://openalex.org/W3141298436","https://openalex.org/W2132624520","https://openalex.org/W1428387773","https://openalex.org/W15446707","https://openalex.org/W2000001134","https://openalex.org/W3027048425","https://openalex.org/W2339378878","https://openalex.org/W2150211001","https://openalex.org/W3022425723","https://openalex.org/W2097724773","https://openalex.org/W2062115627","https://openalex.org/W1551401427","https://openalex.org/W651742516","https://openalex.org/W119991302","https://openalex.org/W2323850814","https://openalex.org/W2945597479","https://openalex.org/W58254321","https://openalex.org/W228900971","https://openalex.org/W1594604454"],"abstract_inverted_index":{"A":[0,13],"method":[1],"for":[2,53,58],"approximating":[3],"smooth":[4],"or":[5],"rough":[6],"surfaces":[7],"defined":[8,66],"in":[9,113],"R3":[10],"is":[11,61,82,131],"introduced.":[12],"fractal":[14],"model":[15,19,37,48,60,80,109,130],"called":[16],"projected":[17,107],"IFS":[18,36,108],"allows":[20],"the":[21,24,34,59,98,103,106,117,121,125],"extension":[22],"of":[23,41,105],"iteration":[25],"space":[26,30],"to":[27,115],"a":[28,39,68,85,92],"barycentric":[29],"Rn2":[31],"by":[32],"enriching":[33],"classical":[35],"with":[38],"set":[40],"control":[42],"points":[43],"(m2":[44],"points).":[45],"This":[46],"flexible":[47],"has":[49],"good":[50],"fitting":[51,87,100],"properties":[52],"recovering":[54],"surfaces.":[55,78,145],"The":[56,79,128,146],"input":[57],"single":[62],"viewpoint":[63],"range":[64,140],"data":[65,141],"on":[67,138],"fixed":[69],"grid":[70],"and":[71,89,124,134,142,154],"also":[72],"2D":[73],"grey-level":[74],"images":[75],"considered":[76],"as":[77,84],"recovery":[81],"formulated":[83],"non-linear":[86],"problem":[88],"resolved":[90],"using":[91],"modified":[93],"LEVENBERG-MARQUARDT":[94],"minimization":[95],"method.":[96],"During":[97],"iterative":[99],"algorithm,":[101],"all":[102],"parameters":[104],"are":[110,149],"adjusted":[111],"simultaneously":[112],"order":[114],"minimize":[116],"overall":[118],"distance":[119],"between":[120],"models":[122],"surface":[123,150,156],"original":[126],"data.":[127],"final":[129],"very":[132],"compact":[133],"gives":[135],"satisfactory":[136],"results":[137],"synthetic":[139],"real":[143],"geological":[144],"main":[147],"applications":[148],"modeling,":[151],"shape":[152],"description":[153],"geometric":[155],"compression.":[157]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}