{"id":"https://openalex.org/W2018393413","doi":"https://doi.org/10.1145/2816795.2818098","title":"Large-scale bounded distortion mappings","display_name":"Large-scale bounded distortion mappings","publication_year":2015,"publication_date":"2015-10-27","ids":{"openalex":"https://openalex.org/W2018393413","doi":"https://doi.org/10.1145/2816795.2818098","mag":"2018393413"},"language":"en","primary_location":{"id":"doi:10.1145/2816795.2818098","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2816795.2818098","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/A5074707764","display_name":"Shahar Z. Kovalsky","orcid":"https://orcid.org/0000-0001-8924-5538"},"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":"Shahar Z. Kovalsky","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":"middle","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":"middle","author":{"id":"https://openalex.org/A5101453970","display_name":"Ronen Basri","orcid":"https://orcid.org/0000-0001-8053-2151"},"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":"Ronen Basri","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":6.9549,"has_fulltext":false,"cited_by_count":70,"citation_normalized_percentile":{"value":0.97599112,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"34","issue":"6","first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","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/T11245","display_name":"Advanced Numerical Analysis Techniques","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":0.9995999932289124,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9994999766349792,"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/bounded-function","display_name":"Bounded function","score":0.8021774291992188},{"id":"https://openalex.org/keywords/geometry-processing","display_name":"Geometry processing","score":0.6849945783615112},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.6315299272537231},{"id":"https://openalex.org/keywords/distortion","display_name":"Distortion (music)","score":0.6024165749549866},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5649471879005432},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.5329927206039429},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5290787816047668},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.447110652923584},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4230254888534546},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4178195595741272},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3869297206401825},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.13052216172218323},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12966996431350708}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.8021774291992188},{"id":"https://openalex.org/C2779521785","wikidata":"https://www.wikidata.org/wiki/Q5535529","display_name":"Geometry processing","level":3,"score":0.6849945783615112},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.6315299272537231},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.6024165749549866},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5649471879005432},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5329927206039429},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5290787816047668},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.447110652923584},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4230254888534546},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4178195595741272},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3869297206401825},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.13052216172218323},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12966996431350708},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"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/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"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":3,"locations":[{"id":"doi:10.1145/2816795.2818098","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2816795.2818098","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:10.1.1.708.4655","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.708.4655","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/%7Enoamaig/html/projects/largescale/LargeScaleBD.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.709.2271","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.709.2271","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/%7Enoamaig/html/projects/largescale/LargeScaleBD_lowRes.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4693840676","display_name":null,"funder_award_id":"307754","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G49770660","display_name":null,"funder_award_id":"1284/12 and 1265/14","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/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"},{"id":"https://openalex.org/F4320335016","display_name":"Israeli Centers for Research Excellence","ror":"https://ror.org/03w2v9593"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1571597376","https://openalex.org/W1989191365","https://openalex.org/W2007725821","https://openalex.org/W2021879624","https://openalex.org/W2059017188","https://openalex.org/W2088265483","https://openalex.org/W2089637722","https://openalex.org/W2100549190","https://openalex.org/W2101657948","https://openalex.org/W2113085766","https://openalex.org/W2124014126","https://openalex.org/W2124877068","https://openalex.org/W2135170744","https://openalex.org/W2147254331","https://openalex.org/W2151636374","https://openalex.org/W2151712273","https://openalex.org/W2169055648","https://openalex.org/W2250107905","https://openalex.org/W2296319761","https://openalex.org/W3000211808","https://openalex.org/W4241614188","https://openalex.org/W4248081355","https://openalex.org/W4250589301","https://openalex.org/W6677161666"],"related_works":["https://openalex.org/W3037855741","https://openalex.org/W2226537123","https://openalex.org/W2098443654","https://openalex.org/W2066856754","https://openalex.org/W1596944841","https://openalex.org/W2486156819","https://openalex.org/W2182960111","https://openalex.org/W1848410221","https://openalex.org/W2120586762","https://openalex.org/W2151997105"],"abstract_inverted_index":{"We":[0,84],"propose":[1],"an":[2,18],"efficient":[3,64],"algorithm":[4],"for":[5],"computing":[6],"large-scale":[7,101],"bounded":[8,33],"distortion":[9],"maps":[10],"of":[11,53,67,88],"triangular":[12],"and":[13,31,40],"tetrahedral":[14],"meshes.":[15],"Specifically,":[16],"given":[17],"initial":[19],"map,":[20],"we":[21,43],"compute":[22],"a":[23,45],"similar":[24],"map":[25],"whose":[26],"differentials":[27],"are":[28,61],"orientation":[29],"preserving":[30],"have":[32],"condition":[34],"number.":[35],"Inspired":[36],"by":[37],"alternating":[38,68],"optimization":[39],"Gauss-Newton":[41,81],"approaches,":[42],"devise":[44],"first":[46],"order":[47],"method":[48],"which":[49],"combines":[50],"the":[51,56,71,86,89],"advantages":[52],"both.":[54],"On":[55,70],"one":[57],"hand,":[58,73],"its":[59],"iterations":[60],"as":[62,65],"computationally":[63],"those":[66],"optimization.":[69],"other":[72],"it":[74],"enjoys":[75],"preferable":[76],"convergence":[77],"properties,":[78],"associated":[79],"with":[80],"like":[82],"approaches.":[83],"demonstrate":[85],"utility":[87],"proposed":[90],"approach":[91],"in":[92],"efficiently":[93],"solving":[94],"geometry":[95],"processing":[96],"problems,":[97],"focusing":[98],"on":[99],"challenging":[100],"problems.":[102]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-17T09:13:05.818461","created_date":"2025-10-10T00:00:00"}
