{"id":"https://openalex.org/W2039816690","doi":"https://doi.org/10.1631/jzus.c1400122","title":"Scale-aware shape manipulation","display_name":"Scale-aware shape manipulation","publication_year":2014,"publication_date":"2014-09-01","ids":{"openalex":"https://openalex.org/W2039816690","doi":"https://doi.org/10.1631/jzus.c1400122","mag":"2039816690"},"language":"en","primary_location":{"id":"doi:10.1631/jzus.c1400122","is_oa":false,"landing_page_url":"https://doi.org/10.1631/jzus.c1400122","pdf_url":null,"source":{"id":"https://openalex.org/S199067057","display_name":"Journal of Zhejiang University SCIENCE C","issn_l":"1869-1951","issn":["1869-1951","1869-196X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311937","host_organization_name":"Zhejiang University Press","host_organization_lineage":["https://openalex.org/P4310311937"],"host_organization_lineage_names":["Zhejiang University Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Zhejiang University SCIENCE C","raw_type":"journal-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/A5100712001","display_name":"Zheng Liu","orcid":"https://orcid.org/0000-0003-3698-3646"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zheng Liu","raw_affiliation_strings":["School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, China","University of Science and Technology of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"University of Science and Technology of China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100342165","display_name":"Weiming Wang","orcid":"https://orcid.org/0000-0001-6289-0094"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei-ming Wang","raw_affiliation_strings":["School of Mathematical Sciences, Dalian University of Technology, Dalian, 116023, China","Dalian Univ of Tech"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Dalian University of Technology, Dalian, 116023, China","institution_ids":["https://openalex.org/I27357992"]},{"raw_affiliation_string":"Dalian Univ of Tech","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100645085","display_name":"Xiuping Liu","orcid":"https://orcid.org/0000-0003-1712-6083"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiu-ping Liu","raw_affiliation_strings":["School of Mathematical Sciences, Dalian University of Technology, Dalian, 116023, China","Dalian Univ of Tech"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Dalian University of Technology, Dalian, 116023, China","institution_ids":["https://openalex.org/I27357992"]},{"raw_affiliation_string":"Dalian Univ of Tech","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100635702","display_name":"Ligang Liu","orcid":"https://orcid.org/0000-0003-4352-1431"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li-gang Liu","raw_affiliation_strings":["School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, China","University of Science and Technology of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"University of Science and Technology of China","institution_ids":["https://openalex.org/I126520041"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.09730769,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":95},"biblio":{"volume":"15","issue":"9","first_page":"764","last_page":"775"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9994000196456909,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.995199978351593,"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/computer-science","display_name":"Computer science","score":0.6010368466377258},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5620720386505127},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5527509450912476},{"id":"https://openalex.org/keywords/triangle-mesh","display_name":"Triangle mesh","score":0.5281957387924194},{"id":"https://openalex.org/keywords/shearing","display_name":"Shearing (physics)","score":0.5193222761154175},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.506995439529419},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.5065418481826782},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.49313563108444214},{"id":"https://openalex.org/keywords/dihedral-angle","display_name":"Dihedral angle","score":0.4606926441192627},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.4544638991355896},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.44104331731796265},{"id":"https://openalex.org/keywords/translation","display_name":"Translation (biology)","score":0.43845081329345703},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3828926682472229},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3686174154281616},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.24441811442375183},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.17295894026756287},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.15311014652252197}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6010368466377258},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5620720386505127},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5527509450912476},{"id":"https://openalex.org/C194401833","wikidata":"https://www.wikidata.org/wiki/Q3456889","display_name":"Triangle mesh","level":3,"score":0.5281957387924194},{"id":"https://openalex.org/C152279782","wikidata":"https://www.wikidata.org/wiki/Q13583542","display_name":"Shearing (physics)","level":2,"score":0.5193222761154175},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.506995439529419},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.5065418481826782},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.49313563108444214},{"id":"https://openalex.org/C89025888","wikidata":"https://www.wikidata.org/wiki/Q911907","display_name":"Dihedral angle","level":4,"score":0.4606926441192627},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.4544638991355896},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.44104331731796265},{"id":"https://openalex.org/C149364088","wikidata":"https://www.wikidata.org/wiki/Q185917","display_name":"Translation (biology)","level":4,"score":0.43845081329345703},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3828926682472229},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3686174154281616},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.24441811442375183},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.17295894026756287},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.15311014652252197},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C105580179","wikidata":"https://www.wikidata.org/wiki/Q188928","display_name":"Messenger RNA","level":3,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C32909587","wikidata":"https://www.wikidata.org/wiki/Q11369","display_name":"Molecule","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C112887158","wikidata":"https://www.wikidata.org/wiki/Q169324","display_name":"Hydrogen bond","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1631/jzus.c1400122","is_oa":false,"landing_page_url":"https://doi.org/10.1631/jzus.c1400122","pdf_url":null,"source":{"id":"https://openalex.org/S199067057","display_name":"Journal of Zhejiang University SCIENCE C","issn_l":"1869-1951","issn":["1869-1951","1869-196X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311937","host_organization_name":"Zhejiang University Press","host_organization_lineage":["https://openalex.org/P4310311937"],"host_organization_lineage_names":["Zhejiang University Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Zhejiang University SCIENCE C","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.550000011920929}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1441049219","https://openalex.org/W1602041864","https://openalex.org/W1988289833","https://openalex.org/W2008535862","https://openalex.org/W2012995880","https://openalex.org/W2022408614","https://openalex.org/W2025012037","https://openalex.org/W2032435873","https://openalex.org/W2038110879","https://openalex.org/W2042408170","https://openalex.org/W2047594593","https://openalex.org/W2059017188","https://openalex.org/W2076942061","https://openalex.org/W2086499061","https://openalex.org/W2088265483","https://openalex.org/W2101748789","https://openalex.org/W2113002969","https://openalex.org/W2113275166","https://openalex.org/W2119057036","https://openalex.org/W2121819464","https://openalex.org/W2135320096","https://openalex.org/W2148290998","https://openalex.org/W2151636374","https://openalex.org/W2157079418","https://openalex.org/W2158376352","https://openalex.org/W2158778494","https://openalex.org/W2161677718","https://openalex.org/W2166575557","https://openalex.org/W2169055648","https://openalex.org/W2169776045","https://openalex.org/W2237825899","https://openalex.org/W2293537096","https://openalex.org/W2293994889","https://openalex.org/W3136059735","https://openalex.org/W3137158176","https://openalex.org/W6677093813","https://openalex.org/W6682441149"],"related_works":["https://openalex.org/W1870383329","https://openalex.org/W2369065593","https://openalex.org/W2075574617","https://openalex.org/W2128904762","https://openalex.org/W2384054664","https://openalex.org/W2123106774","https://openalex.org/W1573850310","https://openalex.org/W2120586762","https://openalex.org/W2182960111","https://openalex.org/W2486156819"],"abstract_inverted_index":{"A":[0],"novel":[1],"representation":[2,60],"of":[3,11,19,21,61,113],"a":[4,9,44,66],"triangular":[5],"mesh":[6,45,62,78],"surface":[7],"using":[8,63],"set":[10],"scale-invariant":[12,48,64],"measures":[13,17],"is":[14,71],"proposed.":[15],"The":[16,40,83,109],"consist":[18],"angles":[20,28],"the":[22,30,59,77,88,114],"triangles":[23],"(triangle":[24],"angles)":[25,33],"and":[26,37,55,107,111],"dihedral":[27],"along":[29],"edges":[31],"(edge":[32],"which":[34,73],"are":[35,117],"scale":[36],"rigidity":[38],"independent.":[39],"vertex":[41],"coordinates":[42],"for":[43],"give":[46],"its":[47],"measures,":[49,65],"unique":[50],"up":[51],"to":[52],"scale,":[53],"rotation,":[54,105],"translation.":[56],"Based":[57],"on":[58],"two-step":[67],"iterative":[68],"deformation":[69],"algorithm":[70,84,116],"proposed,":[72],"can":[74,85],"arbitrarily":[75],"edit":[76],"through":[79],"simple":[80],"handles":[81],"interaction.":[82],"explicitly":[86],"preserve":[87],"local":[89],"geometric":[90],"details":[91],"as":[92,94],"much":[93],"possible":[95],"in":[96],"different":[97],"scales":[98],"even":[99],"under":[100],"severe":[101],"editing":[102],"operations":[103],"including":[104],"scaling,":[106],"shearing.":[108],"efficiency":[110],"robustness":[112],"proposed":[115],"demonstrated":[118],"by":[119],"examples.":[120]},"counts_by_year":[{"year":2021,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
