{"id":"https://openalex.org/W4311034152","doi":"https://doi.org/10.1145/3550469.3555419","title":"Isometric Energies for Recovering Injectivity in Constrained Mapping","display_name":"Isometric Energies for Recovering Injectivity in Constrained Mapping","publication_year":2022,"publication_date":"2022-11-29","ids":{"openalex":"https://openalex.org/W4311034152","doi":"https://doi.org/10.1145/3550469.3555419"},"language":"en","primary_location":{"id":"doi:10.1145/3550469.3555419","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3550469.3555419","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIGGRAPH Asia 2022 Conference Papers","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1145/3550469.3555419","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048512014","display_name":"Xingyi Du","orcid":"https://orcid.org/0000-0001-6036-6782"},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Xingyi Du","raw_affiliation_strings":["Washington University in St. Louis, United States"],"raw_orcid":"https://orcid.org/0000-0001-6036-6782","affiliations":[{"raw_affiliation_string":"Washington University in St. Louis, United States","institution_ids":["https://openalex.org/I204465549"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056691897","display_name":"Danny M. Kaufman","orcid":"https://orcid.org/0009-0000-2864-2089"},"institutions":[{"id":"https://openalex.org/I1306409833","display_name":"Adobe Systems (United States)","ror":"https://ror.org/059tvcg64","country_code":"US","type":"company","lineage":["https://openalex.org/I1306409833"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Danny M. Kaufman","raw_affiliation_strings":["Adobe Research, United States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Adobe Research, United States of America","institution_ids":["https://openalex.org/I1306409833"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101197785","display_name":"Qingnan Zhou","orcid":"https://orcid.org/0009-0003-1721-2026"},"institutions":[{"id":"https://openalex.org/I1306409833","display_name":"Adobe Systems (United States)","ror":"https://ror.org/059tvcg64","country_code":"US","type":"company","lineage":["https://openalex.org/I1306409833"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Qingnan Zhou","raw_affiliation_strings":["Adobe Research, United States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Adobe Research, United States of America","institution_ids":["https://openalex.org/I1306409833"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074707764","display_name":"Shahar Z. Kovalsky","orcid":"https://orcid.org/0000-0001-8924-5538"},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shahar Kovalsky","raw_affiliation_strings":["University of North Carolina at Chapel Hill (UNC), United States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of North Carolina at Chapel Hill (UNC), United States of America","institution_ids":["https://openalex.org/I114027177"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101327393","display_name":"Yajie Yan","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yajie Yan","raw_affiliation_strings":["Independent researcher, United States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Independent researcher, United States of America","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012021206","display_name":"Noam Aigerman","orcid":"https://orcid.org/0000-0002-9116-4662"},"institutions":[{"id":"https://openalex.org/I1306409833","display_name":"Adobe Systems (United States)","ror":"https://ror.org/059tvcg64","country_code":"US","type":"company","lineage":["https://openalex.org/I1306409833"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Noam Aigerman","raw_affiliation_strings":["Adobe Research, United States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Adobe Research, United States of America","institution_ids":["https://openalex.org/I1306409833"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101952408","display_name":"Tao Ju","orcid":"https://orcid.org/0000-0002-1848-1012"},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tao Ju","raw_affiliation_strings":["Washington University in St. Louis, United States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Washington University in St. Louis, United States of America","institution_ids":["https://openalex.org/I204465549"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5048512014"],"corresponding_institution_ids":["https://openalex.org/I204465549"],"apc_list":null,"apc_paid":null,"fwci":0.9963,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.71069717,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9994999766349792,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9988999962806702,"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/injective-function","display_name":"Injective function","score":0.9468141794204712},{"id":"https://openalex.org/keywords/isometry","display_name":"Isometry (Riemannian geometry)","score":0.7515678405761719},{"id":"https://openalex.org/keywords/isometric-exercise","display_name":"Isometric exercise","score":0.6987399458885193},{"id":"https://openalex.org/keywords/distortion","display_name":"Distortion (music)","score":0.6491810083389282},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5646602511405945},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.525881290435791},{"id":"https://openalex.org/keywords/graphics","display_name":"Graphics","score":0.45664259791374207},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43640977144241333},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43241095542907715},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics","score":0.4152947962284088},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24960261583328247},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2236473262310028},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.18699753284454346}],"concepts":[{"id":"https://openalex.org/C128107574","wikidata":"https://www.wikidata.org/wiki/Q182003","display_name":"Injective function","level":2,"score":0.9468141794204712},{"id":"https://openalex.org/C82457910","wikidata":"https://www.wikidata.org/wiki/Q740207","display_name":"Isometry (Riemannian geometry)","level":2,"score":0.7515678405761719},{"id":"https://openalex.org/C103486182","wikidata":"https://www.wikidata.org/wiki/Q1216236","display_name":"Isometric exercise","level":2,"score":0.6987399458885193},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.6491810083389282},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5646602511405945},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.525881290435791},{"id":"https://openalex.org/C21442007","wikidata":"https://www.wikidata.org/wiki/Q1027879","display_name":"Graphics","level":2,"score":0.45664259791374207},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43640977144241333},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43241095542907715},{"id":"https://openalex.org/C77660652","wikidata":"https://www.wikidata.org/wiki/Q150971","display_name":"Computer graphics","level":2,"score":0.4152947962284088},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24960261583328247},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2236473262310028},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.18699753284454346},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C1862650","wikidata":"https://www.wikidata.org/wiki/Q186005","display_name":"Physical therapy","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3550469.3555419","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3550469.3555419","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIGGRAPH Asia 2022 Conference Papers","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/3550469.3555419","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3550469.3555419","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIGGRAPH Asia 2022 Conference Papers","raw_type":"proceedings-article"},"sustainable_development_goals":[{"score":0.4699999988079071,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W120859022","https://openalex.org/W1968661164","https://openalex.org/W1970014692","https://openalex.org/W1998373192","https://openalex.org/W2018393413","https://openalex.org/W2058639681","https://openalex.org/W2068834636","https://openalex.org/W2076159000","https://openalex.org/W2082388593","https://openalex.org/W2089637722","https://openalex.org/W2094366023","https://openalex.org/W2094514801","https://openalex.org/W2098443654","https://openalex.org/W2121934905","https://openalex.org/W2124014126","https://openalex.org/W2152267336","https://openalex.org/W2162073340","https://openalex.org/W2465272462","https://openalex.org/W2556730860","https://openalex.org/W2736386853","https://openalex.org/W2739448995","https://openalex.org/W2770161079","https://openalex.org/W2809769628","https://openalex.org/W2811074360","https://openalex.org/W2915668163","https://openalex.org/W2962889517","https://openalex.org/W2963222332","https://openalex.org/W2964698154","https://openalex.org/W2968225343","https://openalex.org/W3048558702","https://openalex.org/W3082310923","https://openalex.org/W3181896412","https://openalex.org/W3186151312","https://openalex.org/W4200248510","https://openalex.org/W4246041266"],"related_works":["https://openalex.org/W2340005245","https://openalex.org/W1547508840","https://openalex.org/W2052773812","https://openalex.org/W2428872210","https://openalex.org/W2181360123","https://openalex.org/W3029411384","https://openalex.org/W2136279810","https://openalex.org/W2264056257","https://openalex.org/W2576018346","https://openalex.org/W4311034152"],"abstract_inverted_index":{"Computing":[0],"injective":[1,28,94],"maps":[2,14,52],"with":[3,65],"low":[4],"distortions":[5],"is":[6,31,88],"a":[7,113,126],"long-standing":[8],"problem":[9],"in":[10,20,46,112,118],"computer":[11],"graphics.":[12],"Such":[13],"are":[15],"particularly":[16],"challenging":[17],"to":[18,42,62,91],"obtain":[19],"the":[21,107,122],"presence":[22],"of":[23,74,116],"positional":[24,55],"constraints,":[25],"because":[26],"an":[27,93],"initial":[29,51],"map":[30],"often":[32],"not":[33,89],"available.":[34],"Recently,":[35],"several":[36],"energies":[37,60,76,124],"were":[38],"proposed":[39,108],"and":[40,102],"shown":[41],"be":[43],"highly":[44],"successful":[45],"optimizing":[47],"injectivity":[48,120],"from":[49],"non-injective":[50],"while":[53,82],"satisfying":[54],"constraints.":[56],"However,":[57],"minimizing":[58,106],"these":[59,75],"tends":[61],"produce":[63],"elements":[64],"significant":[66],"isometric":[67,109,129],"distortions.":[68],"This":[69],"paper":[70],"presents":[71],"simple":[72],"variants":[73,110],"that":[77],"retain":[78],"their":[79],"desirable":[80],"traits":[81],"promoting":[83],"isometry.":[84],"While":[85],"our":[86],"method":[87],"guaranteed":[90],"provide":[92],"map,":[95],"we":[96],"observe":[97],"that,":[98],"on":[99],"large-scale":[100],"2D":[101],"3D":[103],"data":[104],"sets,":[105],"results":[111],"similar":[114],"level":[115],"success":[117],"recovering":[119],"as":[121],"original":[123],"but":[125],"significantly":[127],"lower":[128],"distortion.":[130]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}
