{"id":"https://openalex.org/W2099692393","doi":"https://doi.org/10.1145/1278780.1278792","title":"Nearly rigid deformation by linear optimization","display_name":"Nearly rigid deformation by linear optimization","publication_year":2007,"publication_date":"2007-08-05","ids":{"openalex":"https://openalex.org/W2099692393","doi":"https://doi.org/10.1145/1278780.1278792","mag":"2099692393"},"language":"en","primary_location":{"id":"doi:10.1145/1278780.1278792","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1278780.1278792","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM SIGGRAPH 2007 sketches","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/A5102988093","display_name":"Sohyeon Jeong","orcid":"https://orcid.org/0000-0002-9330-9810"},"institutions":[{"id":"https://openalex.org/I197347611","display_name":"Korea University","ror":"https://ror.org/047dqcg40","country_code":"KR","type":"education","lineage":["https://openalex.org/I197347611"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"SoHyeon Jeong","raw_affiliation_strings":["Korea Univ",", Korea University"],"affiliations":[{"raw_affiliation_string":"Korea Univ","institution_ids":["https://openalex.org/I197347611"]},{"raw_affiliation_string":", Korea University","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102988093"],"corresponding_institution_ids":["https://openalex.org/I197347611"],"apc_list":null,"apc_paid":null,"fwci":0.4177,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.67430017,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"10","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9998000264167786,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9998000264167786,"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/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/T10638","display_name":"Optical measurement and interference techniques","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/rigidity","display_name":"Rigidity (electromagnetism)","score":0.6072410941123962},{"id":"https://openalex.org/keywords/deformation","display_name":"Deformation (meteorology)","score":0.5675309896469116},{"id":"https://openalex.org/keywords/rigid-transformation","display_name":"Rigid transformation","score":0.566022515296936},{"id":"https://openalex.org/keywords/moving-least-squares","display_name":"Moving least squares","score":0.5070648193359375},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.48578837513923645},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.484551340341568},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47392329573631287},{"id":"https://openalex.org/keywords/free-form-deformation","display_name":"Free-form deformation","score":0.4286983907222748},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.41378363966941833},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40563198924064636},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3760078251361847},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3689461946487427},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3108612895011902},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.1415063440799713},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10386040806770325},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10044941306114197}],"concepts":[{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.6072410941123962},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.5675309896469116},{"id":"https://openalex.org/C126795593","wikidata":"https://www.wikidata.org/wiki/Q7333813","display_name":"Rigid transformation","level":2,"score":0.566022515296936},{"id":"https://openalex.org/C2780580100","wikidata":"https://www.wikidata.org/wiki/Q6927143","display_name":"Moving least squares","level":2,"score":0.5070648193359375},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.48578837513923645},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.484551340341568},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47392329573631287},{"id":"https://openalex.org/C2780391921","wikidata":"https://www.wikidata.org/wiki/Q1454193","display_name":"Free-form deformation","level":3,"score":0.4286983907222748},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.41378363966941833},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40563198924064636},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3760078251361847},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3689461946487427},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3108612895011902},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.1415063440799713},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10386040806770325},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10044941306114197},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1278780.1278792","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1278780.1278792","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM SIGGRAPH 2007 sketches","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.6499999761581421,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W2015475217"],"related_works":["https://openalex.org/W2123722473","https://openalex.org/W2071986826","https://openalex.org/W2146890149","https://openalex.org/W2145599002","https://openalex.org/W2139386886","https://openalex.org/W1982719187","https://openalex.org/W2092911104","https://openalex.org/W2382950156","https://openalex.org/W2088476884","https://openalex.org/W2099692393"],"abstract_inverted_index":{"Fast":[0],"near-rigid":[1],"3D":[2],"deformation":[3,58],"of":[4,14,32,42,55,63,85],"a":[5,11,18,24],"shape":[6,45],"is":[7],"achieved":[8],"by":[9,17,74,82],"approximating":[10],"rigid":[12],"transformation":[13],"each":[15],"point":[16],"moving":[19],"least-squares":[20],"(MLS)":[21],"optimization":[22],"with":[23],"linear":[25],"closed-form":[26],"solution.":[27],"We":[28],"can":[29,70],"deform":[30],"tens":[31],"thousands":[33],"points":[34,77],"in":[35],"real":[36],"time":[37],"while":[38],"preserving":[39],"the":[40,43,53,72,83],"rigidity":[41],"original":[44],"as":[46,48,61],"far":[47],"possible.":[49],"This":[50],"technique":[51],"inherits":[52],"properties":[54],"earlier":[56],"MLS-based":[57],"techniques,":[59],"such":[60],"independence":[62],"geometric":[64],"representation":[65],"and":[66,81],"smoothness.":[67],"The":[68],"user":[69],"control":[71,76],"deformations":[73],"using":[75],"or":[78],"line":[79],"segments":[80],"adjustment":[84],"weight":[86],"functions.":[87]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}