{"id":"https://openalex.org/W6944906099","doi":"https://doi.org/10.2312/sgp/sgp07/203-212","title":"Constraint-based Fairing of Surface Meshes","display_name":"Constraint-based Fairing of Surface Meshes","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W6944906099","doi":"https://doi.org/10.2312/sgp/sgp07/203-212"},"language":"en","primary_location":{"id":"doi:10.2312/sgp/sgp07/203-212","is_oa":true,"landing_page_url":"https://doi.org/10.2312/sgp/sgp07/203-212","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":null,"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":null},"type":"other","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.2312/sgp/sgp07/203-212","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Hildebrandt, Klaus","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hildebrandt, Klaus","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Polthier, Konrad","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Polthier, Konrad","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":null,"topics":[],"keywords":[{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.7156000137329102},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.6588000059127808},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.5608000159263611},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5112000107765198},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.5058000087738037},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.47620001435279846},{"id":"https://openalex.org/keywords/scanner","display_name":"Scanner","score":0.45840001106262207},{"id":"https://openalex.org/keywords/laser-scanning","display_name":"Laser scanning","score":0.45320001244544983}],"concepts":[{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.7156000137329102},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.6588000059127808},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.5608000159263611},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5142999887466431},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5112000107765198},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.5058000087738037},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49399998784065247},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.47620001435279846},{"id":"https://openalex.org/C2779751349","wikidata":"https://www.wikidata.org/wiki/Q1474480","display_name":"Scanner","level":2,"score":0.45840001106262207},{"id":"https://openalex.org/C141349535","wikidata":"https://www.wikidata.org/wiki/Q1361664","display_name":"Laser scanning","level":3,"score":0.45320001244544983},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37540000677108765},{"id":"https://openalex.org/C153008295","wikidata":"https://www.wikidata.org/wiki/Q6535093","display_name":"Level set (data structures)","level":2,"score":0.35830000042915344},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3515999913215637},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.3467000126838684},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.3458999991416931},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.31150001287460327},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.30140000581741333},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.29339998960494995},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.2653000056743622},{"id":"https://openalex.org/C29265498","wikidata":"https://www.wikidata.org/wiki/Q7047719","display_name":"Noise measurement","level":3,"score":0.2581000030040741},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.25690001249313354},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.251800000667572}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2312/sgp/sgp07/203-212","is_oa":true,"landing_page_url":"https://doi.org/10.2312/sgp/sgp07/203-212","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":null,"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":null}],"best_oa_location":{"id":"doi:10.2312/sgp/sgp07/203-212","is_oa":true,"landing_page_url":"https://doi.org/10.2312/sgp/sgp07/203-212","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":null,"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":null},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,25,46,70],"constraint-based":[3],"method":[4],"for":[5],"the":[6,19,29,35,39,42,56,59,80,84],"fairing":[7],"of":[8,14,41,45,58,83],"surface":[9,22],"meshes.":[10],"The":[11,61,86],"main":[12],"feature":[13],"our":[15],"approach":[16,62],"is":[17,63,73,88],"that":[18,78],"resulting":[20],"smoothed":[21],"remains":[23],"within":[24],"prescribed":[26],"distance":[27,37],"to":[28,51,76],"input":[30],"mesh.":[31],"For":[32],"example,":[33],"specifying":[34],"maximum":[36],"in":[38],"order":[40],"measuring":[43],"precision":[44],"laser":[47],"scanner":[48],"allows":[49],"noise":[50],"be":[52],"removed":[53],"while":[54],"preserving":[55],"accuracy":[57],"scan.":[60],"modeled":[64],"as":[65],"an":[66,92],"optimization":[67],"problem":[68,87],"where":[69],"fairness":[71],"measure":[72],"minimized":[74],"subject":[75],"constraints":[77],"control":[79],"spatial":[81],"deviation":[82],"surface.":[85],"efficiently":[89],"solved":[90],"by":[91],"active":[93],"set":[94],"Newton":[95],"method.":[96]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2025-10-10T00:00:00"}