{"id":"https://openalex.org/W2231277664","doi":"https://doi.org/10.1137/15m1048562","title":"A Hyperelastic Two-Scale Optimization Model for Shape Matching","display_name":"A Hyperelastic Two-Scale Optimization Model for Shape Matching","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2231277664","doi":"https://doi.org/10.1137/15m1048562","mag":"2231277664"},"language":"en","primary_location":{"id":"doi:10.1137/15m1048562","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1048562","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1507.07760","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042324279","display_name":"Konrad Simon","orcid":"https://orcid.org/0000-0003-1525-3396"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"K. Simon","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028305791","display_name":"Sameer Sheorey","orcid":"https://orcid.org/0000-0002-4879-5020"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. Sheorey","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037733040","display_name":"David Jacobs","orcid":"https://orcid.org/0009-0008-8710-6065"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"D. W. Jacobs","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5101453970","display_name":"Ronen Basri","orcid":"https://orcid.org/0000-0001-8053-2151"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R. Basri","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00226693,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"39","issue":"1","first_page":"B165","last_page":"B189"},"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":0.9984999895095825,"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/T14339","display_name":"Image Processing and 3D Reconstruction","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/hyperelastic-material","display_name":"Hyperelastic material","score":0.8406109809875488},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.6516830921173096},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.624414324760437},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6168903112411499},{"id":"https://openalex.org/keywords/nonlinear-elasticity","display_name":"Nonlinear elasticity","score":0.5955832600593567},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.5578674077987671},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5103792548179626},{"id":"https://openalex.org/keywords/elasticity","display_name":"Elasticity (physics)","score":0.5022704601287842},{"id":"https://openalex.org/keywords/deformation","display_name":"Deformation (meteorology)","score":0.48747992515563965},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4576003849506378},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45203179121017456},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.4504762291908264},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43709948658943176},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4252285361289978},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4019473195075989},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2728651762008667},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25740689039230347},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12008777260780334}],"concepts":[{"id":"https://openalex.org/C147370603","wikidata":"https://www.wikidata.org/wiki/Q3801506","display_name":"Hyperelastic material","level":3,"score":0.8406109809875488},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.6516830921173096},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.624414324760437},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6168903112411499},{"id":"https://openalex.org/C2983365874","wikidata":"https://www.wikidata.org/wiki/Q193514","display_name":"Nonlinear elasticity","level":3,"score":0.5955832600593567},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.5578674077987671},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5103792548179626},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.5022704601287842},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.48747992515563965},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4576003849506378},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45203179121017456},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4504762291908264},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43709948658943176},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4252285361289978},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4019473195075989},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2728651762008667},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25740689039230347},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12008777260780334},{"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/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/15m1048562","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1048562","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1507.07760","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1507.07760","pdf_url":"https://arxiv.org/pdf/1507.07760","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2231277664","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1507.07760","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1507.07760","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1507.07760","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1507.07760","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1507.07760","pdf_url":"https://arxiv.org/pdf/1507.07760","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.49000000953674316,"id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G3012939100","display_name":null,"funder_award_id":"1265/14","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G5252335148","display_name":null,"funder_award_id":"764/10","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G7925287690","display_name":null,"funder_award_id":"2010331","funder_id":"https://openalex.org/F4320308960","funder_display_name":"United States - Israel Binational Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320308960","display_name":"United States - Israel Binational Science Foundation","ror":"https://ror.org/00j8z2m73"},{"id":"https://openalex.org/F4320320878","display_name":"Minerva Foundation","ror":"https://ror.org/02rxjts25"},{"id":"https://openalex.org/F4320320948","display_name":"Ministry of Science, Technology and Space","ror":"https://ror.org/02heb2n75"},{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2231277664.pdf","grobid_xml":"https://content.openalex.org/works/W2231277664.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W1508861003","https://openalex.org/W1975983633","https://openalex.org/W1983050445","https://openalex.org/W1988179100","https://openalex.org/W1989191365","https://openalex.org/W1997329699","https://openalex.org/W2045798786","https://openalex.org/W2047947369","https://openalex.org/W2049981393","https://openalex.org/W2063549868","https://openalex.org/W2068130602","https://openalex.org/W2080708825","https://openalex.org/W2085261163","https://openalex.org/W2088265483","https://openalex.org/W2091791686","https://openalex.org/W2098578926","https://openalex.org/W2099011563","https://openalex.org/W2123487031","https://openalex.org/W2124014126","https://openalex.org/W2134753888","https://openalex.org/W2141654056","https://openalex.org/W2149814923","https://openalex.org/W2151636374","https://openalex.org/W2158466399","https://openalex.org/W2171490473","https://openalex.org/W2173758409","https://openalex.org/W2410847144","https://openalex.org/W2472414548","https://openalex.org/W3004726950","https://openalex.org/W3006964082"],"related_works":["https://openalex.org/W1987258179","https://openalex.org/W3046809272","https://openalex.org/W2071424786","https://openalex.org/W2908554530","https://openalex.org/W2076674010","https://openalex.org/W1987841290","https://openalex.org/W2562238056","https://openalex.org/W3133850762","https://openalex.org/W2997558143","https://openalex.org/W1596475617","https://openalex.org/W2024058854","https://openalex.org/W2560664218","https://openalex.org/W2157252460","https://openalex.org/W2950106184","https://openalex.org/W3043510125","https://openalex.org/W1602216430","https://openalex.org/W2912224707","https://openalex.org/W2603665599","https://openalex.org/W2952867737","https://openalex.org/W2964857661"],"abstract_inverted_index":{"We":[0,70,111],"suggest":[1],"a":[2,67,72,82,99],"novel":[3],"shape":[4],"matching":[5,104],"algorithm":[6,117],"for":[7,62],"three-dimensional":[8],"surface":[9],"meshes":[10],"of":[11,24,66,84,115],"disk":[12],"or":[13],"sphere":[14],"topology.":[15],"The":[16,90],"method":[17],"is":[18,96,105],"based":[19],"on":[20,98,107],"the":[21,40,55,63,77,94,108,113],"physical":[22],"theory":[23],"nonlinear":[25,78],"elasticity":[26],"and":[27,33],"can":[28],"hence":[29],"handle":[30],"large":[31],"rotations":[32],"deformations.":[34],"Deformation":[35],"boundary":[36,57],"conditions":[37],"that":[38,54,59],"supplement":[39],"underlying":[41],"equations":[42],"are":[43,51,60,65],"usually":[44],"unknown.":[45],"Given":[46],"an":[47],"initial":[48],"guess,":[49],"these":[50],"optimized":[52],"such":[53],"mechanical":[56],"forces":[58],"responsible":[61],"deformation":[64,91],"simple":[68],"nature.":[69],"show":[71],"heuristic":[73],"way":[74],"to":[75],"approximate":[76],"optimization":[79],"problem":[80],"by":[81],"sequence":[83],"convex":[85],"problems":[86],"using":[87],"finite":[88],"elements.":[89],"cost,":[92],"i.e.,":[93],"forces,":[95],"measured":[97],"coarse":[100],"scale,":[101],"while":[102],"ICP-like":[103],"done":[106],"fine":[109],"scale.":[110],"demonstrate":[112],"plausibility":[114],"our":[116],"through":[118],"examples":[119],"taken":[120],"from":[121],"different":[122],"datasets.":[123]},"counts_by_year":[],"updated_date":"2026-07-01T08:55:40.977307","created_date":"2025-10-10T00:00:00"}
