{"id":"https://openalex.org/W7167283236","doi":"https://doi.org/10.1145/3811368","title":"Implicit Minimal Surfaces for Bijective Correspondences","display_name":"Implicit Minimal Surfaces for Bijective Correspondences","publication_year":2026,"publication_date":"2026-07-03","ids":{"openalex":"https://openalex.org/W7167283236","doi":"https://doi.org/10.1145/3811368"},"language":"en","primary_location":{"id":"doi:10.1145/3811368","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3811368","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":"hybrid","oa_url":"https://doi.org/10.1145/3811368","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041633721","display_name":"\u00c9tienne Corman","orcid":"https://orcid.org/0009-0002-9401-2362"},"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/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Etienne Corman","raw_affiliation_strings":["Universit\u00e9 de Lorraine, CNRS, Inria, LORIA, Nancy, France"],"raw_orcid":"https://orcid.org/0009-0002-9401-2362","affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Lorraine, CNRS, Inria, LORIA, Nancy, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210121838","https://openalex.org/I90183372"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044759674","display_name":"Yousuf Soliman","orcid":"https://orcid.org/0000-0003-4023-5026"},"institutions":[{"id":"https://openalex.org/I1303043848","display_name":"Health Effects Institute","ror":"https://ror.org/000a1tn51","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I1303043848"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yousuf Soliman","raw_affiliation_strings":["Side Effects Software Inc, Los Angeles, USA"],"raw_orcid":"https://orcid.org/0000-0003-4023-5026","affiliations":[{"raw_affiliation_string":"Side Effects Software Inc, Los Angeles, USA","institution_ids":["https://openalex.org/I1303043848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046723089","display_name":"Robin Magnet","orcid":"https://orcid.org/0000-0002-2192-411X"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Robin Magnet","raw_affiliation_strings":["Inria, Paris, France","Universit\u00e9 Paris Cit\u00e9, Paris, France"],"raw_orcid":"https://orcid.org/0000-0002-2192-411X","affiliations":[{"raw_affiliation_string":"Inria, Paris, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Universit\u00e9 Paris Cit\u00e9, Paris, France","institution_ids":["https://openalex.org/I204730241"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5135390940","display_name":"Mark Gillespie","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]},{"id":"https://openalex.org/I4210166221","display_name":"Myriad Genetics","ror":"https://ror.org/05rpz9q70","country_code":"US","type":"company","lineage":["https://openalex.org/I4210166221"]}],"countries":["FR","US"],"is_corresponding":false,"raw_author_name":"Mark Gillespie","raw_affiliation_strings":["Inria, Salt Lake City, USA","University of Utah, Salt Lake City, USA"],"raw_orcid":"https://orcid.org/0009-0000-5645-9636","affiliations":[{"raw_affiliation_string":"Inria, Salt Lake City, USA","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210166221"]},{"raw_affiliation_string":"University of Utah, Salt Lake City, USA","institution_ids":["https://openalex.org/I223532165"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":8,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.84804321,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"45","issue":"4","first_page":"1","last_page":"20"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.12099999934434891,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.12099999934434891,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.09529999643564224,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.05719999969005585,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.8916000127792358},{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.6553999781608582},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4796999990940094},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.477400004863739},{"id":"https://openalex.org/keywords/differential-geometry","display_name":"Differential geometry","score":0.435699999332428},{"id":"https://openalex.org/keywords/distortion","display_name":"Distortion (music)","score":0.42320001125335693},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.41449999809265137},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.3977999985218048},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.39250001311302185}],"concepts":[{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.8916000127792358},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.6553999781608582},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5246000289916992},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4796999990940094},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.477400004863739},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4740000069141388},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.435699999332428},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.42320001125335693},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.41449999809265137},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.3977999985218048},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.39250001311302185},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.3630000054836273},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3547999858856201},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.3443000018596649},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.34279999136924744},{"id":"https://openalex.org/C157157409","wikidata":"https://www.wikidata.org/wiki/Q909601","display_name":"Tangent space","level":2,"score":0.32899999618530273},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.32010000944137573},{"id":"https://openalex.org/C138673069","wikidata":"https://www.wikidata.org/wiki/Q322229","display_name":"Tracing","level":2,"score":0.31540000438690186},{"id":"https://openalex.org/C47890412","wikidata":"https://www.wikidata.org/wiki/Q1179296","display_name":"Tangent vector","level":3,"score":0.2971000075340271},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.29409998655319214},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.29019999504089355},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.2815000116825104},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.28040000796318054},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.2757999897003174},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.2741999924182892},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.2736999988555908},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2687000036239624},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.26100000739097595},{"id":"https://openalex.org/C2780129039","wikidata":"https://www.wikidata.org/wiki/Q1931107","display_name":"Section (typography)","level":2,"score":0.2526000142097473}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3811368","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3811368","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-05687209v1","is_oa":true,"landing_page_url":"https://hal.science/hal-05687209","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM Transactions on Graphics, 2026, 45 (4), pp.1-20. ⟨10.1145/3811368⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1145/3811368","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3811368","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":80,"referenced_works":["https://openalex.org/W32195621","https://openalex.org/W34769408","https://openalex.org/W1483014895","https://openalex.org/W1522382323","https://openalex.org/W1965805571","https://openalex.org/W1977257583","https://openalex.org/W1989545882","https://openalex.org/W2022536315","https://openalex.org/W2028258142","https://openalex.org/W2037692348","https://openalex.org/W2047161559","https://openalex.org/W2050357837","https://openalex.org/W2053107666","https://openalex.org/W2053623512","https://openalex.org/W2054607036","https://openalex.org/W2059908987","https://openalex.org/W2094366023","https://openalex.org/W2094732964","https://openalex.org/W2098443654","https://openalex.org/W2098466221","https://openalex.org/W2098738627","https://openalex.org/W2108082108","https://openalex.org/W2111956571","https://openalex.org/W2112997637","https://openalex.org/W2123487031","https://openalex.org/W2129876975","https://openalex.org/W2143030836","https://openalex.org/W2148462430","https://openalex.org/W2154257778","https://openalex.org/W2163787581","https://openalex.org/W2170167891","https://openalex.org/W2173758409","https://openalex.org/W2246998535","https://openalex.org/W2298062406","https://openalex.org/W2379733883","https://openalex.org/W2442338490","https://openalex.org/W2509989438","https://openalex.org/W2552221052","https://openalex.org/W2585039351","https://openalex.org/W2611743873","https://openalex.org/W2736471917","https://openalex.org/W2810781983","https://openalex.org/W2958669303","https://openalex.org/W2962888576","https://openalex.org/W2963889991","https://openalex.org/W2964096557","https://openalex.org/W2964213305","https://openalex.org/W2965634948","https://openalex.org/W2967487864","https://openalex.org/W2971107347","https://openalex.org/W2971721381","https://openalex.org/W2975149757","https://openalex.org/W2987431950","https://openalex.org/W3024463456","https://openalex.org/W3035226307","https://openalex.org/W3085971967","https://openalex.org/W3108801108","https://openalex.org/W3185200785","https://openalex.org/W3190424178","https://openalex.org/W3193639655","https://openalex.org/W3212211608","https://openalex.org/W4206309428","https://openalex.org/W4210698760","https://openalex.org/W4233870500","https://openalex.org/W4241422529","https://openalex.org/W4254597134","https://openalex.org/W4286611175","https://openalex.org/W4310251160","https://openalex.org/W4313045638","https://openalex.org/W4322495883","https://openalex.org/W4378087161","https://openalex.org/W4385766564","https://openalex.org/W4386502652","https://openalex.org/W4387449561","https://openalex.org/W4392239159","https://openalex.org/W4396813776","https://openalex.org/W4413789623","https://openalex.org/W4417124932","https://openalex.org/W6891802406","https://openalex.org/W6926341547"],"related_works":[],"abstract_inverted_index":{"We":[0,197],"introduce":[1],"an":[2],"implicit":[3,215],"representation":[4,216],"of":[5,20,51,109,140,156,172,182,193,202],"continuous,":[6],"bijective,":[7],"orientation-preserving":[8],"maps":[9,22],"between":[10,127],"genus":[11],"zero":[12,154],"surfaces":[13,128],"with":[14,229],"or":[15],"without":[16],"boundary.":[17],"The":[18,57,120],"distortion":[19,171],"these":[21],"can":[23,92,148,175],"easily":[24],"be":[25,149,176],"minimized":[26],"by":[27,97,178,205],"optimizing":[28],"the":[29,52,83,107,118,136,141,153,166,170,173,180,190,194,199],"Ginzburg-Landau":[30,191],"functional\u2014a":[31],"ubiquitous":[32],"model":[33],"in":[34],"physics":[35],"and":[36,63,78,91,113,144,211,220],"differential":[37],"geometry\u2014leading":[38],"to":[39,69,76,80,116,188,207,227],"a":[40,88,125,130,157,161],"simple":[41],"algorithm":[42,84],"for":[43],"computing":[44],"bijective":[45,89],"correspondences":[46,95],"using":[47],"only":[48],"standard":[49],"tools":[50],"tangent":[53],"vector":[54],"field":[55],"toolbox.":[56],"method":[58,204],"avoids":[59],"combinatorial":[60],"mesh":[61],"modifications":[62],"does":[64,85],"not":[65,86],"require":[66],"barrier":[67],"functions":[68],"enforce":[70,228],"bijectivity":[71],"making":[72],"it":[73],"more":[74],"robust":[75],"noise":[77],"simpler":[79],"implement.":[81],"Moreover,":[82],"assume":[87],"initialization":[90],"untangle":[93],"non-bijective":[94],"generated":[96],"computationally":[98],"cheaper":[99],"methods":[100],"such":[101],"as":[102,152],"functional":[103,192],"maps.":[104],"It":[105],"supports":[106,222],"use":[108],"both":[110],"landmark":[111,114],"points":[112],"curves":[115],"guide":[117],"correspondence.":[119],"key":[121],"idea":[122],"is":[123],"that":[124,213,224],"bijection":[126],"defines":[129],"two-dimensional":[131],"mapping":[132,146,184],"surface":[133,147],"sitting":[134],"inside":[135],"four-dimensional":[137],"product":[138,167],"space":[139],"two":[142],"inputs,":[143],"this":[145,183],"stored":[150],"implicitly":[151],"set":[155],"complex":[158,162,195],"section":[159],"\u2014essentially":[160],"function":[163],"defined":[164],"on":[165],"space.":[168],"Now":[169],"map":[174,231],"optimized":[177],"minimizing":[179,189],"area":[181],"surface,":[185],"which":[186],"amounts":[187],"section.":[196],"demonstrate":[198],"practical":[200],"benefits":[201],"our":[203,214],"comparing":[206],"state-of-the-art":[208],"correspondence":[209],"algorithms":[210],"show":[212],"offers":[217],"improved":[218],"stability":[219],"naturally":[221],"constraints":[223],"are":[225],"difficult":[226],"explicit":[230],"representations.":[232]},"counts_by_year":[],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2026-07-04T00:00:00"}