{"id":"https://openalex.org/W2739079168","doi":"https://doi.org/10.1145/3072959.3073696","title":"Consistent functional cross field design for mesh quadrangulation","display_name":"Consistent functional cross field design for mesh quadrangulation","publication_year":2017,"publication_date":"2017-07-20","ids":{"openalex":"https://openalex.org/W2739079168","doi":"https://doi.org/10.1145/3072959.3073696","mag":"2739079168"},"language":"en","primary_location":{"id":"doi:10.1145/3072959.3073696","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3072959.3073696","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-01741938","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010203098","display_name":"Omri Azencot","orcid":"https://orcid.org/0000-0001-9407-6601"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Omri Azencot","raw_affiliation_strings":["Technion - Israel Institute of Technology","Technion - Israel Institute of Technology [Haifa] (Technion City, Haifa 3200003 - Israel)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technion - Israel Institute of Technology","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Technion - Israel Institute of Technology [Haifa] (Technion City, Haifa 3200003 - Israel)","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041633721","display_name":"\u00c9tienne Corman","orcid":"https://orcid.org/0009-0002-9401-2362"},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Etienne Corman","raw_affiliation_strings":["\u00c9cole Polytechnique"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u00c9cole Polytechnique","institution_ids":["https://openalex.org/I142476485"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085454645","display_name":"Mirela Ben\u2010Chen","orcid":"https://orcid.org/0000-0002-1732-2327"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Mirela Ben-Chen","raw_affiliation_strings":["Technion - Israel Institute of Technology","Technion - Israel Institute of Technology [Haifa] (Technion City, Haifa 3200003 - Israel)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technion - Israel Institute of Technology","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Technion - Israel Institute of Technology [Haifa] (Technion City, Haifa 3200003 - Israel)","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072368950","display_name":"Maks Ovsjanikov","orcid":"https://orcid.org/0000-0002-5867-4046"},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Maks Ovsjanikov","raw_affiliation_strings":["\u00c9cole Polytechnique"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u00c9cole Polytechnique","institution_ids":["https://openalex.org/I142476485"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":11.5738,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.98326664,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"36","issue":"4","first_page":"1","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9993000030517578,"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":0.9890000224113464,"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":0.9887999892234802,"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/polygon-mesh","display_name":"Polygon mesh","score":0.7489884495735168},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6613645553588867},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5549187660217285},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5228146314620972},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5098404288291931},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4950186610221863},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.45251184701919556},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.4139872193336487},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4100243151187897},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17876777052879333},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14854803681373596},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10799869894981384}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.7489884495735168},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6613645553588867},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5549187660217285},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5228146314620972},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5098404288291931},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4950186610221863},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.45251184701919556},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.4139872193336487},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4100243151187897},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17876777052879333},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14854803681373596},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10799869894981384},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/3072959.3073696","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3072959.3073696","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01741938v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01741938","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM Transactions on Graphics, 2017, 36 (4), pp.92. ⟨10.1145/3072959.3073696⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:zenodo.org:3403178","is_oa":true,"landing_page_url":"https://zenodo.org/record/3403178","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01741938v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01741938","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM Transactions on Graphics, 2017, 36 (4), pp.92. ⟨10.1145/3072959.3073696⟩","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.5,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G8698274652","display_name":null,"funder_award_id":"699/12","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"},{"id":"https://openalex.org/F4320322892","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W368385912","https://openalex.org/W968365640","https://openalex.org/W1756419074","https://openalex.org/W1912568406","https://openalex.org/W1968403482","https://openalex.org/W1989191365","https://openalex.org/W1991468392","https://openalex.org/W2004842342","https://openalex.org/W2015774454","https://openalex.org/W2047161559","https://openalex.org/W2054607036","https://openalex.org/W2073107947","https://openalex.org/W2073431710","https://openalex.org/W2074144353","https://openalex.org/W2076225967","https://openalex.org/W2091749278","https://openalex.org/W2094732964","https://openalex.org/W2097797924","https://openalex.org/W2098202941","https://openalex.org/W2100829795","https://openalex.org/W2126394825","https://openalex.org/W2146308848","https://openalex.org/W2161987835","https://openalex.org/W2407391842","https://openalex.org/W2509989438","https://openalex.org/W2558697265","https://openalex.org/W2746836818","https://openalex.org/W2792644458","https://openalex.org/W2912521710","https://openalex.org/W3109203711","https://openalex.org/W4236667477","https://openalex.org/W4241614188","https://openalex.org/W4243697203","https://openalex.org/W4254820690"],"related_works":["https://openalex.org/W1557607869","https://openalex.org/W2366350639","https://openalex.org/W2087496541","https://openalex.org/W2028455732","https://openalex.org/W4313703117","https://openalex.org/W2085564391","https://openalex.org/W1984758362","https://openalex.org/W2042049060","https://openalex.org/W2992936613","https://openalex.org/W2108615321"],"abstract_inverted_index":{"We":[0,145,176],"propose":[1],"a":[2,11,111,156,161,169,172],"novel":[3,112],"technique":[4],"for":[5,26],"computing":[6],"consistent":[7,28],"cross":[8],"fields":[9,25],"on":[10,63,88,116,164],"pair":[12,173],"of":[13,33,54,67,80,91,102,120,134,174,182],"triangle":[14],"meshes":[15,43],"given":[16,82,162],"an":[17],"input":[18],"correspondence,":[19,83],"which":[20,114,139],"we":[21,125,152],"use":[22],"as":[23,84],"guiding":[24],"approximately":[27],"quadrangulations.":[29],"Unlike":[30],"the":[31,42,45,51,64,68,81,89,97,103,117,149,165],"majority":[32],"existing":[34,205],"methods":[35],"our":[36,71,183],"approach":[37],"does":[38,58],"not":[39,59],"assume":[40],"that":[41,147,158,190],"share":[44],"same":[46,52,150,166],"connectivity":[47],"or":[48,168],"even":[49],"have":[50],"number":[53],"vertices,":[55],"and":[56,94,99,124,179,188,197],"furthermore":[57],"place":[60],"any":[61],"restrictions":[62],"topology":[65],"(genus)":[66],"shapes.":[69,175],"Importantly,":[70],"method":[72,184],"is":[73,110],"robust":[74],"with":[75,185],"respect":[76,160],"to":[77,107,199],"small":[78],"perturbations":[79],"it":[85,191],"only":[86],"relies":[87,115],"transportation":[90],"real-valued":[92],"functions":[93],"thus":[95],"avoids":[96],"costly":[98],"error-prone":[100],"estimation":[101],"map":[104,170],"differential.":[105],"Key":[106],"this":[108],"robustness":[109],"formulation,":[113],"previously-proposed":[118],"notion":[119],"power":[121,141],"vectors":[122,142],",":[123],"show":[126,189],"how":[127],"consistency":[128],"can":[129,153],"be":[130],"enforced":[131],"without":[132],"pre-alignment":[133],"local":[135],"basis":[136],"frames,":[137],"in":[138],"these":[140],"are":[143],"computed.":[144],"demonstrate":[146],"using":[148],"formulation":[151],"both":[154,192],"compute":[155],"quadrangulation":[157],"would":[159],"symmetry":[163],"shape":[167],"across":[171],"provide":[177],"quantitative":[178],"qualitative":[180],"comparison":[181],"several":[186],"baselines":[187],"provides":[193],"more":[194,201],"accurate":[195],"results":[196],"allows":[198],"handle":[200],"general":[202],"cases":[203],"than":[204],"techniques.":[206]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}