{"id":"https://openalex.org/W2063205379","doi":"https://doi.org/10.1109/cvpr.2012.6247906","title":"On template-based reconstruction from a single view: Analytical solutions and proofs of well-posedness for developable, isometric and conformal surfaces","display_name":"On template-based reconstruction from a single view: Analytical solutions and proofs of well-posedness for developable, isometric and conformal surfaces","publication_year":2012,"publication_date":"2012-06-01","ids":{"openalex":"https://openalex.org/W2063205379","doi":"https://doi.org/10.1109/cvpr.2012.6247906","mag":"2063205379"},"language":"en","primary_location":{"id":"doi:10.1109/cvpr.2012.6247906","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2012.6247906","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Conference on Computer Vision and Pattern Recognition","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/A5027206821","display_name":"Adrien Bartoli","orcid":"https://orcid.org/0000-0003-3545-7329"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I198244214","display_name":"Universit\u00e9 Clermont Auvergne","ror":"https://ror.org/01a8ajp46","country_code":"FR","type":"education","lineage":["https://openalex.org/I198244214"]},{"id":"https://openalex.org/I44563897","display_name":"Universit\u00e9 d'Artois","ror":"https://ror.org/053x9s498","country_code":"FR","type":"education","lineage":["https://openalex.org/I44563897"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"A. Bartoli","raw_affiliation_strings":["ISIT-UMR6284 CNRS, Universit\u00e9 d'Artois, Clermont Ferrand, France","ISIT-UMR6284 CNRS, Universit\u00e9 d'Auvergne, Clermont-Ferrand, France#TAB#"],"affiliations":[{"raw_affiliation_string":"ISIT-UMR6284 CNRS, Universit\u00e9 d'Artois, Clermont Ferrand, France","institution_ids":["https://openalex.org/I44563897","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"ISIT-UMR6284 CNRS, Universit\u00e9 d'Auvergne, Clermont-Ferrand, France#TAB#","institution_ids":["https://openalex.org/I198244214","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060441363","display_name":"Yan G\u00e9rard","orcid":"https://orcid.org/0000-0002-2664-0650"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I198244214","display_name":"Universit\u00e9 Clermont Auvergne","ror":"https://ror.org/01a8ajp46","country_code":"FR","type":"education","lineage":["https://openalex.org/I198244214"]},{"id":"https://openalex.org/I44563897","display_name":"Universit\u00e9 d'Artois","ror":"https://ror.org/053x9s498","country_code":"FR","type":"education","lineage":["https://openalex.org/I44563897"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Y. Gerard","raw_affiliation_strings":["ISIT-UMR6284 CNRS, Universit\u00e9 d'Artois, Clermont Ferrand, France","ISIT-UMR6284 CNRS, Universit\u00e9 d'Auvergne, Clermont-Ferrand, France#TAB#"],"affiliations":[{"raw_affiliation_string":"ISIT-UMR6284 CNRS, Universit\u00e9 d'Artois, Clermont Ferrand, France","institution_ids":["https://openalex.org/I44563897","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"ISIT-UMR6284 CNRS, Universit\u00e9 d'Auvergne, Clermont-Ferrand, France#TAB#","institution_ids":["https://openalex.org/I198244214","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019634484","display_name":"Fran\u00e7ois Chadebecq","orcid":"https://orcid.org/0000-0002-1912-7568"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I198244214","display_name":"Universit\u00e9 Clermont Auvergne","ror":"https://ror.org/01a8ajp46","country_code":"FR","type":"education","lineage":["https://openalex.org/I198244214"]},{"id":"https://openalex.org/I44563897","display_name":"Universit\u00e9 d'Artois","ror":"https://ror.org/053x9s498","country_code":"FR","type":"education","lineage":["https://openalex.org/I44563897"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"F. Chadebecq","raw_affiliation_strings":["ISIT-UMR6284 CNRS, Universit\u00e9 d'Artois, Clermont Ferrand, France","ISIT-UMR6284 CNRS, Universit\u00e9 d'Auvergne, Clermont-Ferrand, France#TAB#"],"affiliations":[{"raw_affiliation_string":"ISIT-UMR6284 CNRS, Universit\u00e9 d'Artois, Clermont Ferrand, France","institution_ids":["https://openalex.org/I44563897","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"ISIT-UMR6284 CNRS, Universit\u00e9 d'Auvergne, Clermont-Ferrand, France#TAB#","institution_ids":["https://openalex.org/I198244214","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014952217","display_name":"Toby Collins","orcid":"https://orcid.org/0000-0002-9441-8306"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I198244214","display_name":"Universit\u00e9 Clermont Auvergne","ror":"https://ror.org/01a8ajp46","country_code":"FR","type":"education","lineage":["https://openalex.org/I198244214"]},{"id":"https://openalex.org/I44563897","display_name":"Universit\u00e9 d'Artois","ror":"https://ror.org/053x9s498","country_code":"FR","type":"education","lineage":["https://openalex.org/I44563897"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"T. Collins","raw_affiliation_strings":["ISIT-UMR6284 CNRS, Universit\u00e9 d'Artois, Clermont Ferrand, France","ISIT-UMR6284 CNRS, Universit\u00e9 d'Auvergne, Clermont-Ferrand, France#TAB#"],"affiliations":[{"raw_affiliation_string":"ISIT-UMR6284 CNRS, Universit\u00e9 d'Artois, Clermont Ferrand, France","institution_ids":["https://openalex.org/I44563897","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"ISIT-UMR6284 CNRS, Universit\u00e9 d'Auvergne, Clermont-Ferrand, France#TAB#","institution_ids":["https://openalex.org/I198244214","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5027206821"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I44563897"],"apc_list":null,"apc_paid":null,"fwci":10.4794,"has_fulltext":false,"cited_by_count":61,"citation_normalized_percentile":{"value":0.98807047,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"2026","last_page":"2033"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9995999932289124,"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":0.9995999932289124,"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/T11211","display_name":"3D Surveying and Cultural Heritage","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1907","display_name":"Geology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/conformal-map","display_name":"Conformal map","score":0.843186616897583},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.6373738050460815},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6161935925483704},{"id":"https://openalex.org/keywords/developable-surface","display_name":"Developable surface","score":0.6104226112365723},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.6071023344993591},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.5113481879234314},{"id":"https://openalex.org/keywords/isometry","display_name":"Isometry (Riemannian geometry)","score":0.4831109046936035},{"id":"https://openalex.org/keywords/surface-reconstruction","display_name":"Surface reconstruction","score":0.47227534651756287},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4283669590950012},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4268548786640167},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.419477254152298},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4111427664756775},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3230840563774109},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3124781847000122},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.27446436882019043}],"concepts":[{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.843186616897583},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.6373738050460815},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6161935925483704},{"id":"https://openalex.org/C181773393","wikidata":"https://www.wikidata.org/wiki/Q336298","display_name":"Developable surface","level":3,"score":0.6104226112365723},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6071023344993591},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.5113481879234314},{"id":"https://openalex.org/C82457910","wikidata":"https://www.wikidata.org/wiki/Q740207","display_name":"Isometry (Riemannian geometry)","level":2,"score":0.4831109046936035},{"id":"https://openalex.org/C20885615","wikidata":"https://www.wikidata.org/wiki/Q825595","display_name":"Surface reconstruction","level":3,"score":0.47227534651756287},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4283669590950012},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4268548786640167},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.419477254152298},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4111427664756775},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3230840563774109},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3124781847000122},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.27446436882019043}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cvpr.2012.6247906","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2012.6247906","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Conference on Computer Vision and Pattern Recognition","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-02092764v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02092764","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2012 IEEE Conference on Computer Vision and Pattern Recognition, 2012, Providence, United States. pp.2026--2033, &#x27E8;10.1109/CVPR.2012.6247906&#x27E9;","raw_type":"Conference papers"},{"id":"pmh:oai:eprints.ucl.ac.uk.OAI2:10032864","is_oa":false,"landing_page_url":"http://discovery.ucl.ac.uk/10032864/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400024","display_name":"UCL Discovery (University College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45129253","host_organization_name":"University College London","host_organization_lineage":["https://openalex.org/I45129253"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"     In:   (Proceedings) IEEE Conference on Computer Vision and Pattern Recognition (CVPR). (pp. pp. 2026-2033).  IEEE (2012)     ","raw_type":"Proceedings paper"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.6200000047683716}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1483764956","https://openalex.org/W1537530125","https://openalex.org/W1562971193","https://openalex.org/W1574099708","https://openalex.org/W1922214832","https://openalex.org/W1972872581","https://openalex.org/W1998989074","https://openalex.org/W2046252220","https://openalex.org/W2049531721","https://openalex.org/W2051995247","https://openalex.org/W2079797071","https://openalex.org/W2082989281","https://openalex.org/W2091375548","https://openalex.org/W2104051215","https://openalex.org/W2114152070","https://openalex.org/W2121717851","https://openalex.org/W2123094226","https://openalex.org/W2143546616","https://openalex.org/W2150545569","https://openalex.org/W2159366128","https://openalex.org/W2171657286","https://openalex.org/W2400438347","https://openalex.org/W4243744369","https://openalex.org/W6628856660","https://openalex.org/W6632024379","https://openalex.org/W6634365550","https://openalex.org/W6713217528"],"related_works":["https://openalex.org/W2288630368","https://openalex.org/W2384950834","https://openalex.org/W2462365668","https://openalex.org/W2944480306","https://openalex.org/W2570822793","https://openalex.org/W4239126759","https://openalex.org/W2808944898","https://openalex.org/W3163328381","https://openalex.org/W2322239771","https://openalex.org/W4284883686"],"abstract_inverted_index":{"Recovering":[0],"a":[1,7,12,49,88,93,168,173],"deformable":[2],"surface's":[3,58],"3D":[4,13],"shape":[5],"from":[6],"single":[8],"view":[9],"registered":[10],"to":[11,17,26,30,36,118,131,141,167],"template":[14],"requires":[15],"one":[16],"provide":[18],"additional":[19],"constraints.":[20,136],"A":[21],"recent":[22],"approach":[23],"has":[24,78,108],"been":[25,80],"constrain":[27],"the":[28,53,57,63,70,83,114,128,134,143,177,180,207],"surface":[29],"deform":[31],"quasi-isometrically.":[32],"This":[33,107],"is":[34,60,67],"applicable":[35],"surfaces":[37,102,154,162,183],"of":[38,52,95,122,145,148,206,212],"materials":[39],"such":[40,75],"as":[41,69,92,200,202],"paper":[42],"and":[43,100,159,172,191],"cloth.":[44],"Current":[45],"`closed-form'":[46],"solutions":[47],"solve":[48,105,119,132],"convex":[50,76],"approximation":[51,77],"original":[54],"problem":[55,90],"whereby":[56],"depth":[59,72],"maximized":[61],"under":[62],"isometry":[64],"constraints":[65],"(this":[66],"known":[68],"maximum":[71],"heuristic).":[73],"No":[74],"yet":[79],"proposed":[81],"for":[82,97,133],"conformal":[84,101,161],"case.":[85],"We":[86],"give":[87],"unified":[89],"formulation":[91],"system":[94],"PDEs":[96],"developable,":[98],"isometric":[99,153],"that":[103,152,160,195],"we":[104,150],"analytically.":[106,186],"important":[109],"consequences.":[110],"First,":[111],"it":[112,126,138],"gives":[113,127],"first":[115,129],"analytical":[116],"algorithms":[117,130],"this":[120,146],"type":[121,147],"reconstruction":[123,213],"problems.":[124],"Second,":[125],"exact":[135],"Third,":[137],"allows":[139],"us":[140],"study":[142],"well-posedness":[144],"reconstruction:":[149],"establish":[151],"can":[155,163],"be":[156,164],"reconstructed":[157,165],"unambiguously":[158],"up":[166],"few":[169],"discrete":[170],"ambiguities":[171],"global":[174],"scale.":[175],"In":[176],"latter":[178],"case,":[179],"candidate":[181],"solution":[182],"are":[184],"obtained":[185],"Experimental":[187],"results":[188],"on":[189],"simulated":[190],"real":[192],"data":[193],"show":[194],"our":[196],"methods":[197],"generally":[198],"perform":[199],"well":[201],"or":[203],"outperform":[204],"state":[205],"art":[208],"approaches":[209],"in":[210],"terms":[211],"accuracy.":[214]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":12},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
