{"id":"https://openalex.org/W3024463456","doi":"https://doi.org/10.1145/3386569.3392399","title":"Inter-surface maps via constant-curvature metrics","display_name":"Inter-surface maps via constant-curvature metrics","publication_year":2020,"publication_date":"2020-08-12","ids":{"openalex":"https://openalex.org/W3024463456","doi":"https://doi.org/10.1145/3386569.3392399","mag":"3024463456"},"language":"en","primary_location":{"id":"doi:10.1145/3386569.3392399","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3386569.3392399","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022086995","display_name":"Patrick Schmidt","orcid":"https://orcid.org/0000-0002-8917-3674"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Patrick Schmidt","raw_affiliation_strings":["RWTH Aachen University"],"affiliations":[{"raw_affiliation_string":"RWTH Aachen University","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074090356","display_name":"Marcel Campen","orcid":"https://orcid.org/0000-0003-2340-3462"},"institutions":[{"id":"https://openalex.org/I170658231","display_name":"Osnabr\u00fcck University","ror":"https://ror.org/04qmmjx98","country_code":"DE","type":"education","lineage":["https://openalex.org/I170658231"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Marcel Campen","raw_affiliation_strings":["Osnabr\u00fcck University"],"affiliations":[{"raw_affiliation_string":"Osnabr\u00fcck University","institution_ids":["https://openalex.org/I170658231"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002352662","display_name":"Janis Born","orcid":"https://orcid.org/0000-0003-3707-4102"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Janis Born","raw_affiliation_strings":["RWTH Aachen University"],"affiliations":[{"raw_affiliation_string":"RWTH Aachen University","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036300670","display_name":"Leif Kobbelt","orcid":"https://orcid.org/0000-0002-7880-9470"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Leif Kobbelt","raw_affiliation_strings":["RWTH Aachen University"],"affiliations":[{"raw_affiliation_string":"RWTH Aachen University","institution_ids":["https://openalex.org/I887968799"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5022086995"],"corresponding_institution_ids":["https://openalex.org/I887968799"],"apc_list":null,"apc_paid":null,"fwci":4.9297,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.96665297,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"39","issue":"4","first_page":null,"last_page":null},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9986000061035156,"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":0.993399977684021,"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/geodesic","display_name":"Geodesic","score":0.6926423907279968},{"id":"https://openalex.org/keywords/gaussian-curvature","display_name":"Gaussian curvature","score":0.6886225938796997},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6456794738769531},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.6330496668815613},{"id":"https://openalex.org/keywords/constant-curvature","display_name":"Constant curvature","score":0.6184688210487366},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.5422111749649048},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5160593390464783},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4623737335205078},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4592862129211426},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.45235756039619446},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.4468470811843872},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25269925594329834},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23434725403785706},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.19806522130966187},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1895914077758789},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.08938109874725342}],"concepts":[{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.6926423907279968},{"id":"https://openalex.org/C16140857","wikidata":"https://www.wikidata.org/wiki/Q945953","display_name":"Gaussian curvature","level":3,"score":0.6886225938796997},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6456794738769531},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.6330496668815613},{"id":"https://openalex.org/C2779668893","wikidata":"https://www.wikidata.org/wiki/Q2250422","display_name":"Constant curvature","level":3,"score":0.6184688210487366},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.5422111749649048},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5160593390464783},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4623737335205078},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4592862129211426},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.45235756039619446},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.4468470811843872},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25269925594329834},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23434725403785706},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.19806522130966187},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1895914077758789},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.08938109874725342},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3386569.3392399","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3386569.3392399","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.5,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G2581642338","display_name":null,"funder_award_id":"IRTG-2379, Gottfried Wilhelm Leibniz Programme","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W1511400044","https://openalex.org/W1581995154","https://openalex.org/W1756419074","https://openalex.org/W1965805571","https://openalex.org/W1969002377","https://openalex.org/W1977257583","https://openalex.org/W1989995855","https://openalex.org/W2021479652","https://openalex.org/W2032733861","https://openalex.org/W2047161559","https://openalex.org/W2076159000","https://openalex.org/W2087366393","https://openalex.org/W2094366023","https://openalex.org/W2094732964","https://openalex.org/W2096057082","https://openalex.org/W2105106232","https://openalex.org/W2108082108","https://openalex.org/W2112997637","https://openalex.org/W2143030836","https://openalex.org/W2154257778","https://openalex.org/W2474764209","https://openalex.org/W2496722619","https://openalex.org/W2552221052","https://openalex.org/W2611743873","https://openalex.org/W2732960865","https://openalex.org/W2736386853","https://openalex.org/W2736471917","https://openalex.org/W2809944305","https://openalex.org/W2811074360","https://openalex.org/W2912521710","https://openalex.org/W2964029293","https://openalex.org/W2964096557","https://openalex.org/W2965634948","https://openalex.org/W2971107347","https://openalex.org/W2971721381","https://openalex.org/W3004196235","https://openalex.org/W3103304244","https://openalex.org/W3148414604","https://openalex.org/W4210811533","https://openalex.org/W4239987439","https://openalex.org/W4241422529","https://openalex.org/W4254597134","https://openalex.org/W4299672679"],"related_works":["https://openalex.org/W1973997949","https://openalex.org/W2210064267","https://openalex.org/W4234806727","https://openalex.org/W2595699648","https://openalex.org/W4313484206","https://openalex.org/W2398810520","https://openalex.org/W4252094044","https://openalex.org/W2485615673","https://openalex.org/W2048714264","https://openalex.org/W3127486582"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,40,141],"novel":[3],"approach":[4],"to":[5,17,33,52,166],"represent":[6],"maps":[7,23],"between":[8],"two":[9],"discrete":[10,156],"surfaces":[11,96],"of":[12,43,49,59,80,97,123,160,171,176],"the":[13,47,57,89,101,111,116,124,150,155,169],"same":[14],"genus":[15],"and":[16,30,174],"minimize":[18],"intrinsic":[19],"mapping":[20],"distortion.":[21],"Our":[22,84,132],"are":[24,31,68],"well-defined":[25],"at":[26],"every":[27],"surface":[28],"point":[29],"guaranteed":[32],"be":[34,53],"continuous":[35],"bijections":[36],"(surface":[37],"homeomorphisms).":[38],"As":[39],"key":[41],"feature":[42],"our":[44,162],"approach,":[45],"only":[46,149],"images":[48,58,152,170,175],"vertices":[50,173],"need":[51,102],"represented":[54],"explicitly,":[55],"since":[56],"all":[60,137,177],"other":[61,178],"points":[62],"(on":[63],"edges":[64],"or":[65,106,130],"in":[66,78,136,140],"faces)":[67],"properly":[69],"defined":[70],"implicitly.":[71],"This":[72],"definition":[73],"is":[74,86],"via":[75],"unique":[76],"geodesics":[77],"metrics":[79,93,120],"constant":[81],"Gaussian":[82],"curvature.":[83],"method":[85],"built":[87],"upon":[88],"fact":[90],"that":[91],"such":[92],"exist":[94],"on":[95,115],"arbitrary":[98],"topology,":[99],"without":[100],"for":[103],"any":[104],"cuts":[105],"cones":[107],"(as":[108],"asserted":[109],"by":[110,146],"uniformization":[112],"theorem).":[113],"Depending":[114],"surfaces'":[117],"genus,":[118],"these":[119,172],"exhibit":[121],"one":[122],"three":[125,138],"classical":[126],"geometries:":[127],"Euclidean,":[128],"spherical":[129],"hyperbolic.":[131],"formulation":[133,163],"handles":[134],"constructions":[135],"geometries":[139],"unified":[142],"way.":[143],"In":[144],"addition,":[145],"considering":[147],"not":[148],"vertex":[151],"but":[153],"also":[154],"metric":[157],"as":[158],"degrees":[159],"freedom,":[161],"enables":[164],"us":[165],"simultaneously":[167],"optimize":[168],"points.":[179]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}