{"id":"https://openalex.org/W2089637722","doi":"https://doi.org/10.1145/2461912.2461931","title":"Injective and bounded distortion mappings in 3D","display_name":"Injective and bounded distortion mappings in 3D","publication_year":2013,"publication_date":"2013-07-16","ids":{"openalex":"https://openalex.org/W2089637722","doi":"https://doi.org/10.1145/2461912.2461931","mag":"2089637722"},"language":"en","primary_location":{"id":"doi:10.1145/2461912.2461931","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2461912.2461931","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/A5012021206","display_name":"Noam Aigerman","orcid":"https://orcid.org/0000-0002-9116-4662"},"institutions":[{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Noam Aigerman","raw_affiliation_strings":["Weizmann Institute of Science"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Weizmann Institute of Science","institution_ids":["https://openalex.org/I53964585"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039995559","display_name":"Yaron Lipman","orcid":null},"institutions":[{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Yaron Lipman","raw_affiliation_strings":["Weizmann Institute of Science"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Weizmann Institute of Science","institution_ids":["https://openalex.org/I53964585"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I53964585"],"apc_list":null,"apc_paid":null,"fwci":10.5831,"has_fulltext":false,"cited_by_count":109,"citation_normalized_percentile":{"value":0.98918986,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":100},"biblio":{"volume":"32","issue":"4","first_page":"1","last_page":"14"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998000264167786,"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":0.9997000098228455,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/injective-function","display_name":"Injective function","score":0.7575957775115967},{"id":"https://openalex.org/keywords/distortion","display_name":"Distortion (music)","score":0.6933610439300537},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6712285280227661},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6548483371734619},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.49159249663352966},{"id":"https://openalex.org/keywords/tetrahedron","display_name":"Tetrahedron","score":0.45586302876472473},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.4407844841480255},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.42711085081100464},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3486943244934082},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2571635842323303},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.23729068040847778},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21892154216766357},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1663607954978943}],"concepts":[{"id":"https://openalex.org/C128107574","wikidata":"https://www.wikidata.org/wiki/Q182003","display_name":"Injective function","level":2,"score":0.7575957775115967},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.6933610439300537},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6712285280227661},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6548483371734619},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.49159249663352966},{"id":"https://openalex.org/C105239961","wikidata":"https://www.wikidata.org/wiki/Q160003","display_name":"Tetrahedron","level":2,"score":0.45586302876472473},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.4407844841480255},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.42711085081100464},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3486943244934082},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2571635842323303},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.23729068040847778},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21892154216766357},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1663607954978943},{"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/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/2461912.2461931","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2461912.2461931","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:CiteSeerX.psu:10.1.1.361.2757","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.361.2757","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.wisdom.weizmann.ac.il/~noamaig/papers/bd3d_lowres.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.361.5664","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.361.5664","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.wisdom.weizmann.ac.il/~noamaig/papers/bd3d.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W65479554","https://openalex.org/W93643975","https://openalex.org/W175331295","https://openalex.org/W1490688156","https://openalex.org/W1517705043","https://openalex.org/W1519070146","https://openalex.org/W1578474919","https://openalex.org/W1590776313","https://openalex.org/W1626653188","https://openalex.org/W1968609617","https://openalex.org/W1980757084","https://openalex.org/W1985127753","https://openalex.org/W1985787666","https://openalex.org/W2001737944","https://openalex.org/W2008535862","https://openalex.org/W2046579463","https://openalex.org/W2046729013","https://openalex.org/W2050190638","https://openalex.org/W2053245826","https://openalex.org/W2058639681","https://openalex.org/W2064198982","https://openalex.org/W2075010828","https://openalex.org/W2079209697","https://openalex.org/W2088265483","https://openalex.org/W2096619076","https://openalex.org/W2098449997","https://openalex.org/W2109340300","https://openalex.org/W2113085766","https://openalex.org/W2118970948","https://openalex.org/W2129761755","https://openalex.org/W2130814852","https://openalex.org/W2131369589","https://openalex.org/W2141717881","https://openalex.org/W2147827640","https://openalex.org/W2150679149","https://openalex.org/W2151636374","https://openalex.org/W2160692760","https://openalex.org/W2166575557","https://openalex.org/W2169055648","https://openalex.org/W2188761561","https://openalex.org/W2233545183","https://openalex.org/W2250107905","https://openalex.org/W2293537096","https://openalex.org/W2487042503","https://openalex.org/W2997385702","https://openalex.org/W3000211808","https://openalex.org/W3136375062","https://openalex.org/W3137158176","https://openalex.org/W4241614188","https://openalex.org/W4247391896","https://openalex.org/W4250454039"],"related_works":["https://openalex.org/W4288805235","https://openalex.org/W2952259524","https://openalex.org/W1508013399","https://openalex.org/W2995857455","https://openalex.org/W2027277382","https://openalex.org/W4287020903","https://openalex.org/W2998840281","https://openalex.org/W2364052274","https://openalex.org/W4232350466","https://openalex.org/W2112997637"],"abstract_inverted_index":{"We":[0],"introduce":[1],"an":[2,108],"efficient":[3],"algorithm":[4,22,72,87,117,167],"for":[5,169],"producing":[6,170],"provably":[7],"injective":[8,46,75],"mappings":[9],"of":[10,45,80,85,100,131,143,178],"tetrahedral":[11,81,179,183],"meshes":[12],"with":[13,153],"strict":[14],"bounds":[15],"on":[16,42],"their":[17],"tetrahedra":[18,187],"aspect-ratio":[19],"distortion.":[20,161],"The":[21,83,116],"takes":[23],"as":[24,64,158],"input":[25],"a":[26,53,93,129],"simplicial":[27,49,78,141],"map":[28,55],"(e.g.,":[29],"produced":[30,189],"by":[31,190],"some":[32],"common":[33],"deformation":[34],"or":[35,76],"volumetric":[36],"parameterization":[37],"technique)":[38],"and":[39,47,60,172,176,181],"projects":[40],"it":[41,136,150],"the":[43,70,86,98,102,166,186],"space":[44],"bounded-distortion":[48,77,105,173],"maps.":[50],"Namely,":[51],"finds":[52],"similar":[54],"that":[56],"is":[57,69,118,137],"both":[58],"bijective":[59,171],"bounded-distortion.":[61],"As":[62],"far":[63],"we":[65,164],"are":[66],"aware,":[67],"this":[68],"first":[71],"to":[73,92,97,107,120,133,140],"produce":[74],"maps":[79,142],"meshes.":[82],"construction":[84],"was":[88],"made":[89],"possible":[90],"due":[91],"novel":[94],"closed-form":[95],"solution":[96],"problem":[99],"finding":[101],"closest":[103],"orientation-preserving":[104],"matrix":[106,110],"arbitrary":[109],"in":[111],"three":[112],"(and":[113],"higher)":[114],"dimensions.":[115,148],"shown":[119],"have":[121],"quadratic":[122],"convergence,":[123],"usually":[124],"not":[125],"requiring":[126],"more":[127],"than":[128],"handful":[130],"iterations":[132],"converge.":[134],"Furthermore,":[135],"readily":[138],"generalized":[139],"any":[144],"dimension,":[145],"including":[146],"mixed":[147],"Finally,":[149],"can":[151],"deal":[152],"different":[154],"distortion":[155],"spaces,":[156],"such":[157],"bounded":[159],"isometric":[160],"During":[162],"experiments":[163],"found":[165],"useful":[168],"volume":[174],"parameterizations":[175],"deformations":[177],"meshes,":[180,184],"improving":[182],"increasing":[185],"quality":[188],"state-of-the-art":[191],"techniques.":[192]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":12},{"year":2021,"cited_by_count":14},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":16},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":2}],"updated_date":"2026-07-17T09:13:05.818461","created_date":"2025-10-10T00:00:00"}
