{"id":"https://openalex.org/W2106205770","doi":"https://doi.org/10.1109/smi.2008.4547959","title":"A least-norm approach to flattenable mesh surface processing","display_name":"A least-norm approach to flattenable mesh surface processing","publication_year":2008,"publication_date":"2008-06-01","ids":{"openalex":"https://openalex.org/W2106205770","doi":"https://doi.org/10.1109/smi.2008.4547959","mag":"2106205770"},"language":"en","primary_location":{"id":"doi:10.1109/smi.2008.4547959","is_oa":false,"landing_page_url":"https://doi.org/10.1109/smi.2008.4547959","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Conference on Shape Modeling and Applications","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/A5032878278","display_name":"Charlie C. L. Wang","orcid":"https://orcid.org/0000-0003-4406-8480"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Charlie C.L. Wang","raw_affiliation_strings":["Department of Mechanical and Automation Engineering, Chinese University of Hong Kong, Hong Kong, China","Dept. of Mech. & Autom. Eng., Chinese Univ. of Hong Kong, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Automation Engineering, Chinese University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I177725633"]},{"raw_affiliation_string":"Dept. of Mech. & Autom. Eng., Chinese Univ. of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5032878278"],"corresponding_institution_ids":["https://openalex.org/I177725633"],"apc_list":null,"apc_paid":null,"fwci":0.382,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.6744144,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"24","issue":null,"first_page":"131","last_page":"138"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9997000098228455,"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"}},"topics":[{"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9991999864578247,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9973000288009644,"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/developable-surface","display_name":"Developable surface","score":0.793154776096344},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.6504842042922974},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5735862851142883},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.5155041813850403},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5134590268135071},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4890213906764984},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.4713667631149292},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4491087794303894},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41012585163116455},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4020043909549713},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3618488907814026},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.33028537034988403},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3125500977039337},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1563071608543396},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.12727567553520203},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06950828433036804},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.058665961027145386}],"concepts":[{"id":"https://openalex.org/C181773393","wikidata":"https://www.wikidata.org/wiki/Q336298","display_name":"Developable surface","level":3,"score":0.793154776096344},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.6504842042922974},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5735862851142883},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.5155041813850403},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5134590268135071},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4890213906764984},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.4713667631149292},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4491087794303894},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41012585163116455},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4020043909549713},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3618488907814026},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.33028537034988403},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3125500977039337},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1563071608543396},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.12727567553520203},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06950828433036804},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.058665961027145386},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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":4,"locations":[{"id":"doi:10.1109/smi.2008.4547959","is_oa":false,"landing_page_url":"https://doi.org/10.1109/smi.2008.4547959","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Conference on Shape Modeling and Applications","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.565.9537","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.565.9537","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www2.mae.cuhk.edu.hk/~cwang/pubs/SMI08LeastNormFMesh.pdf","raw_type":"text"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/b1c4de8d-01e2-450b-9299-6428f57bfa7a","is_oa":false,"landing_page_url":"https://research.manchester.ac.uk/en/publications/b1c4de8d-01e2-450b-9299-6428f57bfa7a","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Wang, C C L 2008, A least-norm approach to flattenable mesh surface processing. in IEEE International Conference on Shape Modeling and Applications 2008, Proceedings, SMI., 4547959, IEEE International Conference on Shape Modeling and Applications 2008, Proceedings, SMI, pp. 131-138, IEEE International Conference on Shape Modeling and Applications 2008, SMI, Stony Brook, NY, United States, 4/06/08. https://doi.org/10.1109/SMI.2008.4547959","raw_type":"contributionToPeriodical"},{"id":"pmh:oai:pure.atira.dk:publications/b1c4de8d-01e2-450b-9299-6428f57bfa7a","is_oa":false,"landing_page_url":"http://www.scopus.com/inward/record.url?scp=50949083965&partnerID=8YFLogxK","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Wang, C C L 2008, A least-norm approach to flattenable mesh surface processing. in IEEE International Conference on Shape Modeling and Applications 2008, Proceedings, SMI., 4547959, IEEE International Conference on Shape Modeling and Applications 2008, Proceedings, SMI, pp. 131-138, IEEE International Conference on Shape Modeling and Applications 2008, SMI, Stony Brook, NY, United States, 4/06/08. https://doi.org/10.1109/SMI.2008.4547959","raw_type":"contributionToPeriodical"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320326427","display_name":"Innovation and Technology Fund","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W194536078","https://openalex.org/W1530069394","https://openalex.org/W1565212980","https://openalex.org/W1587364410","https://openalex.org/W1626653188","https://openalex.org/W1975740173","https://openalex.org/W1976584051","https://openalex.org/W1977195950","https://openalex.org/W1978395924","https://openalex.org/W1986733995","https://openalex.org/W1994916162","https://openalex.org/W2018107269","https://openalex.org/W2018484913","https://openalex.org/W2020260507","https://openalex.org/W2041586413","https://openalex.org/W2046252220","https://openalex.org/W2055410695","https://openalex.org/W2071705882","https://openalex.org/W2072313396","https://openalex.org/W2086211692","https://openalex.org/W2086330025","https://openalex.org/W2087924918","https://openalex.org/W2088096262","https://openalex.org/W2096094923","https://openalex.org/W2097362502","https://openalex.org/W2101868198","https://openalex.org/W2114832824","https://openalex.org/W2116820576","https://openalex.org/W2121669559","https://openalex.org/W2122610696","https://openalex.org/W2123211589","https://openalex.org/W2129544656","https://openalex.org/W2154059699","https://openalex.org/W2158778494","https://openalex.org/W2164297311","https://openalex.org/W2165321571","https://openalex.org/W2166594490","https://openalex.org/W2250107905","https://openalex.org/W4233265937","https://openalex.org/W4242546774","https://openalex.org/W4248624027","https://openalex.org/W6631794145","https://openalex.org/W6635244736","https://openalex.org/W6636538218"],"related_works":["https://openalex.org/W2364136600","https://openalex.org/W1968390457","https://openalex.org/W4310489778","https://openalex.org/W2944280630","https://openalex.org/W2160759417","https://openalex.org/W2351301909","https://openalex.org/W2050460146","https://openalex.org/W4362558900","https://openalex.org/W1991580304","https://openalex.org/W2561261340"],"abstract_inverted_index":{"Following":[0],"the":[1,9,21,43,91,99,109,114,121,133],"definition":[2],"of":[3,16,24,95,101,123],"developable":[4,25,44],"surface":[5,26,49,76],"in":[6,93],"differential":[7],"geometry,":[8],"flattenable":[10,47,69,103,124,138],"mesh":[11,48,70,75,104,125,139],"surface,":[12,19],"a":[13,37,46,68,72,81,102],"special":[14],"type":[15],"piecewise-":[17],"linear":[18,144],"inherits":[20],"good":[22],"property":[23],"about":[27],"having":[28],"an":[29],"isometric":[30],"map":[31],"from":[32,42,71,141],"its":[33],"3D":[34],"shape":[35,100,118],"to":[36,53,120],"corresponding":[38],"planar":[39],"region.":[40],"Different":[41],"surfaces,":[45],"is":[50],"more":[51],"flexible":[52],"model":[54],"objects":[55],"with":[56,65],"complex":[57],"shapes":[58],"(e.g.,":[59],"cramped":[60],"paper":[61],"or":[62],"warped":[63],"leather":[64],"wrinkles).":[66],"Modelling":[67],"given":[73],"input":[74,142],"can":[77,105,136],"be":[78,106],"completed":[79],"under":[80],"constrained":[82],"nonlinear":[83],"optimization":[84],"framework.":[85],"In":[86],"this":[87],"paper,":[88],"we":[89],"reformulate":[90],"problem":[92],"terms":[94],"estimation":[96],"error.":[97],"Therefore,":[98],"computed":[107],"by":[108],"least-norm":[110],"solutions":[111],"faster.":[112],"Moreover,":[113],"method":[115,135],"for":[116],"adding":[117],"constraints":[119],"modelling":[122],"surfaces":[126,140,145],"has":[127],"been":[128],"exploited.":[129],"We":[130],"show":[131],"that":[132],"proposed":[134],"compute":[137],"piecewise":[143],"successfully":[146],"and":[147],"efficiently.":[148]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}