{"id":"https://openalex.org/W3185376541","doi":"https://doi.org/10.1145/3450626.3459843","title":"Modeling and fabrication with specified discrete equivalence classes","display_name":"Modeling and fabrication with specified discrete equivalence classes","publication_year":2021,"publication_date":"2021-07-19","ids":{"openalex":"https://openalex.org/W3185376541","doi":"https://doi.org/10.1145/3450626.3459843","mag":"3185376541"},"language":"en","primary_location":{"id":"doi:10.1145/3450626.3459843","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3450626.3459843","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/A5091612414","display_name":"Zhongyuan Liu","orcid":"https://orcid.org/0000-0003-4439-8770"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhong-Yuan Liu","raw_affiliation_strings":["University of Science and Technology of China, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Science and Technology of China, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100393434","display_name":"Zhan Zhang","orcid":"https://orcid.org/0009-0006-2611-4809"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhan Zhang","raw_affiliation_strings":["University of Science and Technology of China, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Science and Technology of China, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100740778","display_name":"Di Zhang","orcid":"https://orcid.org/0000-0003-0176-3424"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Di Zhang","raw_affiliation_strings":["University of Science and Technology of China, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Science and Technology of China, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013723764","display_name":"Chunyang Ye","orcid":"https://orcid.org/0000-0002-2177-8255"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chunyang Ye","raw_affiliation_strings":["University of Science and Technology of China, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Science and Technology of China, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100635702","display_name":"Ligang Liu","orcid":"https://orcid.org/0000-0003-4352-1431"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ligang Liu","raw_affiliation_strings":["University of Science and Technology of China, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Science and Technology of China, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000841004","display_name":"Xiao\u2010Ming Fu","orcid":"https://orcid.org/0000-0001-8479-0107"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-Ming Fu","raw_affiliation_strings":["University of Science and Technology of China, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Science and Technology of China, China","institution_ids":["https://openalex.org/I126520041"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I126520041"],"apc_list":null,"apc_paid":null,"fwci":2.0711,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.85710591,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"40","issue":"4","first_page":"1","last_page":"12"},"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":0.9993000030517578,"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":0.9991999864578247,"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/fabrication","display_name":"Fabrication","score":0.6743403673171997},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.593317985534668},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5873004198074341},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.533247709274292},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5267564654350281},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.46120068430900574},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.4113740921020508},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.37495720386505127},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3363468050956726},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32034459710121155},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1542266607284546},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1403665840625763},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12330275774002075},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10458657145500183}],"concepts":[{"id":"https://openalex.org/C136525101","wikidata":"https://www.wikidata.org/wiki/Q5428139","display_name":"Fabrication","level":3,"score":0.6743403673171997},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.593317985534668},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5873004198074341},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.533247709274292},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5267564654350281},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.46120068430900574},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.4113740921020508},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.37495720386505127},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3363468050956726},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32034459710121155},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1542266607284546},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1403665840625763},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12330275774002075},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10458657145500183},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"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/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"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/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3450626.3459843","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3450626.3459843","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":[],"awards":[{"id":"https://openalex.org/G1294350775","display_name":null,"funder_award_id":"61802359, 62025207","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W120859022","https://openalex.org/W1798731418","https://openalex.org/W1973730326","https://openalex.org/W1988874269","https://openalex.org/W1997159267","https://openalex.org/W2015136530","https://openalex.org/W2024403957","https://openalex.org/W2062342217","https://openalex.org/W2072358707","https://openalex.org/W2073106787","https://openalex.org/W2121934905","https://openalex.org/W2130346750","https://openalex.org/W2171074980","https://openalex.org/W2554087130","https://openalex.org/W2803458427","https://openalex.org/W2903151799","https://openalex.org/W2917557921","https://openalex.org/W2947580529","https://openalex.org/W2963434411","https://openalex.org/W3043113236","https://openalex.org/W3048434253","https://openalex.org/W3082310923","https://openalex.org/W3085971967"],"related_works":["https://openalex.org/W794158601","https://openalex.org/W2018206907","https://openalex.org/W2079728534","https://openalex.org/W2099288746","https://openalex.org/W1034061887","https://openalex.org/W3104034845","https://openalex.org/W2061184854","https://openalex.org/W4248699163","https://openalex.org/W2027762620","https://openalex.org/W1969792448"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,11,28,33,36,53,76,92,174],"novel":[3],"method":[4,95,184],"to":[5,98,108,126,158],"model":[6],"and":[7,35,42,102,132,135,169,180],"fabricate":[8],"shapes":[9,134],"using":[10,166],"small":[12],"set":[13],"of":[14,19,23,56,62,65,73,104,119,138,182],"specified":[15],"discrete":[16],"equivalence":[17],"classes":[18],"triangles.":[20,121,199],"The":[21,178],"core":[22],"our":[24,183],"modeling":[25,151],"technique":[26],"is":[27,96,156],"fabrication-error-driven":[29],"remeshing":[30,94],"algorithm.":[31],"Given":[32],"triangle":[34],"template":[37,198],"triangle,":[38],"which":[39],"are":[40,124,185],"coplanar":[41],"have":[43],"one-to-one":[44],"corresponding":[45,71],"vertices,":[46],"we":[47,84,172],"define":[48],"their":[49],"similarity":[50,82,117,129],"error":[51,112,118,145],"from":[52],"manufacturing":[54,176,193],"point":[55],"view":[57],"as":[58,114],"follows:":[59],"the":[60,63,66,70,81,100,105,110,115,128,136,139,143,150,153],"minimizer":[61],"maximum":[64,116],"three":[67],"distances":[68],"between":[69,130],"pair":[72],"vertices":[74],"concerning":[75],"rigid":[77],"transformation.":[78],"To":[79,160],"compute":[80],"error,":[83],"convert":[85],"it":[86],"into":[87],"an":[88],"easy-to-compute":[89],"form.":[90],"Then,":[91],"greedy":[93],"developed":[97],"optimize":[99],"topology":[101],"geometry":[103],"input":[106,131],"mesh":[107],"minimize":[109],"fabrication":[111,144,154,165],"defined":[113],"all":[120],"Besides,":[122],"constraints":[123],"enforced":[125],"ensure":[127],"output":[133],"smoothness":[137],"resulting":[140],"shapes.":[141],"Since":[142],"has":[146],"been":[147],"considered":[148],"during":[149],"process,":[152],"process":[155],"easy":[157],"proceed.":[159],"assist":[161],"users":[162],"in":[163],"performing":[164],"common":[167],"materials":[168],"tools":[170],"manually,":[171],"present":[173],"straightforward":[175],"solution.":[177],"feasibility":[179],"practicability":[181],"demonstrated":[186],"over":[187],"various":[188],"examples,":[189],"including":[190],"seven":[191],"physical":[192],"models":[194],"with":[195],"only":[196],"nine":[197]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
