{"id":"https://openalex.org/W2100917162","doi":"https://doi.org/10.1109/smi.2003.1199607","title":"Freeform shape representations for efficient geometry processing","display_name":"Freeform shape representations for efficient geometry processing","publication_year":2003,"publication_date":"2003-12-22","ids":{"openalex":"https://openalex.org/W2100917162","doi":"https://doi.org/10.1109/smi.2003.1199607","mag":"2100917162"},"language":"en","primary_location":{"id":"doi:10.1109/smi.2003.1199607","is_oa":false,"landing_page_url":"https://doi.org/10.1109/smi.2003.1199607","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 Shape Modeling International.","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/A5036300670","display_name":"Leif Kobbelt","orcid":"https://orcid.org/0000-0002-7880-9470"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"L. Kobbelt","raw_affiliation_strings":["RWTH, Computer Graphics Group, Aachen, Germany","Computer Graphics Group RWTH Aachen, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"RWTH, Computer Graphics Group, Aachen, Germany","institution_ids":[]},{"raw_affiliation_string":"Computer Graphics Group RWTH Aachen, Germany#TAB#","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033450578","display_name":"Mario Botsch","orcid":"https://orcid.org/0000-0001-9954-120X"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"M. Botsch","raw_affiliation_strings":["RWTH, Computer Graphics Group, Aachen, Germany","Computer Graphics Group RWTH Aachen, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"RWTH, Computer Graphics Group, Aachen, Germany","institution_ids":[]},{"raw_affiliation_string":"Computer Graphics Group RWTH Aachen, Germany#TAB#","institution_ids":["https://openalex.org/I887968799"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5036300670"],"corresponding_institution_ids":["https://openalex.org/I887968799"],"apc_list":null,"apc_paid":null,"fwci":2.3985,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.8913369,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"111","last_page":"115"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9997000098228455,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9997000098228455,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9980999827384949,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.6753747463226318},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.6635478138923645},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.6161207556724548},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.6071287393569946},{"id":"https://openalex.org/keywords/parametric-surface","display_name":"Parametric surface","score":0.5641784071922302},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5509332418441772},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.5457926392555237},{"id":"https://openalex.org/keywords/geometry-processing","display_name":"Geometry processing","score":0.540324866771698},{"id":"https://openalex.org/keywords/computational-geometry","display_name":"Computational geometry","score":0.48236650228500366},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.476980060338974},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4334898293018341},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.41206037998199463},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41021350026130676},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.39059069752693176},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37626296281814575},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.14274239540100098},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1362023949623108},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09246751666069031}],"concepts":[{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.6753747463226318},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.6635478138923645},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6161207556724548},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6071287393569946},{"id":"https://openalex.org/C2187777","wikidata":"https://www.wikidata.org/wiki/Q1071743","display_name":"Parametric surface","level":3,"score":0.5641784071922302},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5509332418441772},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.5457926392555237},{"id":"https://openalex.org/C2779521785","wikidata":"https://www.wikidata.org/wiki/Q5535529","display_name":"Geometry processing","level":3,"score":0.540324866771698},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.48236650228500366},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.476980060338974},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4334898293018341},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.41206037998199463},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41021350026130676},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.39059069752693176},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37626296281814575},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.14274239540100098},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1362023949623108},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09246751666069031},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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:10.1109/smi.2003.1199607","is_oa":false,"landing_page_url":"https://doi.org/10.1109/smi.2003.1199607","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 Shape Modeling International.","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":47,"referenced_works":["https://openalex.org/W1548879090","https://openalex.org/W1549658690","https://openalex.org/W1588445649","https://openalex.org/W1972732662","https://openalex.org/W1976584051","https://openalex.org/W1984522470","https://openalex.org/W1998594918","https://openalex.org/W1999244633","https://openalex.org/W2000214666","https://openalex.org/W2003000984","https://openalex.org/W2005314985","https://openalex.org/W2054935921","https://openalex.org/W2060003021","https://openalex.org/W2070118722","https://openalex.org/W2079017595","https://openalex.org/W2093834886","https://openalex.org/W2100196192","https://openalex.org/W2100914193","https://openalex.org/W2124557154","https://openalex.org/W2126151059","https://openalex.org/W2134756023","https://openalex.org/W2142926463","https://openalex.org/W2144083240","https://openalex.org/W2146573010","https://openalex.org/W2167862746","https://openalex.org/W2229412420","https://openalex.org/W2232710831","https://openalex.org/W2235901111","https://openalex.org/W2237767100","https://openalex.org/W2245672305","https://openalex.org/W2249223245","https://openalex.org/W2249773824","https://openalex.org/W2250107905","https://openalex.org/W2295216480","https://openalex.org/W2341600683","https://openalex.org/W2922417532","https://openalex.org/W2998023265","https://openalex.org/W3140955151","https://openalex.org/W4205649593","https://openalex.org/W4212781311","https://openalex.org/W4233857083","https://openalex.org/W4285719527","https://openalex.org/W6632955649","https://openalex.org/W6635070389","https://openalex.org/W6665447694","https://openalex.org/W6678785523","https://openalex.org/W6681380224"],"related_works":["https://openalex.org/W1507001138","https://openalex.org/W2081230146","https://openalex.org/W3037855741","https://openalex.org/W1165082989","https://openalex.org/W2610957929","https://openalex.org/W2226537123","https://openalex.org/W3038190491","https://openalex.org/W4205733778","https://openalex.org/W2098443654","https://openalex.org/W2066856754"],"abstract_inverted_index":{"The":[0],"most":[1],"important":[2],"concepts":[3],"for":[4,179,197,205],"the":[5,30,46,49,68,72,83,86,91,94,110,132,180],"handling":[6],"and":[7,19,27,152,166,175,200,202],"storage":[8],"of":[9,33,53,96,162,182],"freeform":[10],"shapes":[11],"in":[12,106],"geometry":[13,184],"processing":[14,185],"applications":[15,163,188],"are":[16,164],"parametric":[17,55,151],"representation":[18,56,120],"volumetric":[20,34,108,119,153],"representations.":[21],"Both":[22],"have":[23,67],"their":[24],"specific":[25],"advantages":[26],"drawbacks.":[28],"While":[29],"algebraic":[31],"complexity":[32],"representations":[35,154],"S":[36,63,74],"=":[37,41],"{(x,y,z)":[38],"|":[39],"f(x,y,z)":[40],"0}":[42],"is":[43,88,139],"independent":[44],"from":[45],"shape":[47],"complexity,":[48],"domain":[50,84],"/spl":[51,59,61],"Omega/":[52,60],"a":[54,97,107,144,170],"f":[57],":":[58],"rarr/":[62],"usually":[64],"has":[65],"to":[66,81,127,141,149,155,173],"same":[69],"structure":[70],"as":[71],"surface":[73,87,100,111,137,190],"itself":[75],"(which":[76],"sometimes":[77],"makes":[78],"it":[79,146],"necessary":[80],"update":[82],"when":[85],"modified.":[89],"On":[90],"other":[92],"hand,":[93],"topology":[95,112,203],"parametrically":[98],"defined":[99],"can":[101,113],"be":[102],"controlled":[103],"explicitly":[104],"while":[105],"representation,":[109],"change":[114],"accidentally":[115],"during":[116],"deformation.":[117],"A":[118,160],"reduces":[121],"distance":[122],"queries":[123],"or":[124],"inside/outside":[125],"tests":[126],"mere":[128],"function":[129],"evaluations":[130],"but":[131],"geodesic":[133],"neighborhood":[134],"relation":[135],"between":[136],"points":[138],"difficult":[140],"resolve.":[142],"As":[143],"consequence,":[145],"seems":[147],"promising":[148],"combine":[150],"effectively":[156],"exploit":[157],"both":[158],"advantages.":[159],"number":[161],"presented":[165],"discussed":[167],"where":[168],"such":[169],"combination":[171],"leads":[172],"efficient":[174],"numerically":[176],"stable":[177],"algorithms":[178],"solution":[181],"various":[183],"tasks.":[186],"These":[187],"include:":[189],"remeshing,":[191],"mesh":[192,198],"fairing,":[193],"global":[194],"error":[195],"control":[196,204],"decimation":[199],"smoothing,":[201],"level-set":[206],"surfaces.":[207]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}