{"id":"https://openalex.org/W3109881732","doi":"https://doi.org/10.1145/3414685.3417778","title":"Opening and closing surfaces","display_name":"Opening and closing surfaces","publication_year":2020,"publication_date":"2020-11-27","ids":{"openalex":"https://openalex.org/W3109881732","doi":"https://doi.org/10.1145/3414685.3417778","mag":"3109881732"},"language":"en","primary_location":{"id":"doi:10.1145/3414685.3417778","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3414685.3417778","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3414685.3417778","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":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3414685.3417778","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041088007","display_name":"Silvia Sell\u00e1n","orcid":"https://orcid.org/0000-0003-0003-6807"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]},{"id":"https://openalex.org/I165339363","display_name":"Universidad de Oviedo","ror":"https://ror.org/006gksa02","country_code":"ES","type":"education","lineage":["https://openalex.org/I165339363"]}],"countries":["CA","ES"],"is_corresponding":true,"raw_author_name":"Silvia Sell\u00e1n","raw_affiliation_strings":["University of Oviedo and University of Toronto"],"affiliations":[{"raw_affiliation_string":"University of Oviedo and University of Toronto","institution_ids":["https://openalex.org/I165339363","https://openalex.org/I185261750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009412514","display_name":"Jacob Kesten","orcid":null},"institutions":[{"id":"https://openalex.org/I9267121","display_name":"Fields Institute for Research in Mathematical Sciences","ror":"https://ror.org/03zzj3f20","country_code":"CA","type":"facility","lineage":["https://openalex.org/I185261750","https://openalex.org/I9267121"]},{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jacob Kesten","raw_affiliation_strings":["Fields Institute and University of Toronto"],"affiliations":[{"raw_affiliation_string":"Fields Institute and University of Toronto","institution_ids":["https://openalex.org/I9267121","https://openalex.org/I185261750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046306603","display_name":"Ang Yan Sheng","orcid":"https://orcid.org/0000-0001-5738-1535"},"institutions":[{"id":"https://openalex.org/I9267121","display_name":"Fields Institute for Research in Mathematical Sciences","ror":"https://ror.org/03zzj3f20","country_code":"CA","type":"facility","lineage":["https://openalex.org/I185261750","https://openalex.org/I9267121"]},{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Ang Yan Sheng","raw_affiliation_strings":["Fields Institute and University of Toronto"],"affiliations":[{"raw_affiliation_string":"Fields Institute and University of Toronto","institution_ids":["https://openalex.org/I9267121","https://openalex.org/I185261750"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060647975","display_name":"Alec Jacobson","orcid":"https://orcid.org/0000-0003-4603-7143"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Alec Jacobson","raw_affiliation_strings":["University of Toronto"],"affiliations":[{"raw_affiliation_string":"University of Toronto","institution_ids":["https://openalex.org/I185261750"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5041088007"],"corresponding_institution_ids":["https://openalex.org/I165339363","https://openalex.org/I185261750"],"apc_list":null,"apc_paid":null,"fwci":4.3716,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.94924935,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"39","issue":"6","first_page":"1","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9998999834060669,"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":0.9998000264167786,"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":0.9995999932289124,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/closing","display_name":"Closing (real estate)","score":0.8396271467208862},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7928468585014343},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.686839759349823},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.6356375813484192},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5840895175933838},{"id":"https://openalex.org/keywords/dilation","display_name":"Dilation (metric space)","score":0.5610044002532959},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49315351247787476},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.44145408272743225},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.43141084909439087},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4251418113708496},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.26063916087150574},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1858595907688141}],"concepts":[{"id":"https://openalex.org/C2778775528","wikidata":"https://www.wikidata.org/wiki/Q5135432","display_name":"Closing (real estate)","level":2,"score":0.8396271467208862},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7928468585014343},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.686839759349823},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.6356375813484192},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5840895175933838},{"id":"https://openalex.org/C2780757906","wikidata":"https://www.wikidata.org/wiki/Q5276676","display_name":"Dilation (metric space)","level":2,"score":0.5610044002532959},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49315351247787476},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.44145408272743225},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.43141084909439087},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4251418113708496},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.26063916087150574},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1858595907688141},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3414685.3417778","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3414685.3417778","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3414685.3417778","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":{"id":"doi:10.1145/3414685.3417778","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3414685.3417778","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3414685.3417778","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"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6310956422","display_name":null,"funder_award_id":"RGPIN2017-05235, RGPAS-2017-507938","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320307786","display_name":"Adobe Systems","ror":"https://ror.org/059tvcg64"},{"id":"https://openalex.org/F4320307897","display_name":"Autodesk","ror":"https://ror.org/00pkt4594"},{"id":"https://openalex.org/F4320320994","display_name":"Canada Research Chairs","ror":"https://ror.org/0517h6h17"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3109881732.pdf","grobid_xml":"https://content.openalex.org/works/W3109881732.grobid-xml"},"referenced_works_count":55,"referenced_works":["https://openalex.org/W1569094508","https://openalex.org/W1593811304","https://openalex.org/W1798731418","https://openalex.org/W1897663366","https://openalex.org/W1966083290","https://openalex.org/W1969706687","https://openalex.org/W1988200254","https://openalex.org/W1994808961","https://openalex.org/W2000214666","https://openalex.org/W2011049085","https://openalex.org/W2016265593","https://openalex.org/W2029315739","https://openalex.org/W2042460596","https://openalex.org/W2079017595","https://openalex.org/W2099332139","https://openalex.org/W2103049372","https://openalex.org/W2108880688","https://openalex.org/W2115853991","https://openalex.org/W2122676594","https://openalex.org/W2130470231","https://openalex.org/W2131303371","https://openalex.org/W2132044017","https://openalex.org/W2135381699","https://openalex.org/W2145932638","https://openalex.org/W2153399947","https://openalex.org/W2156492833","https://openalex.org/W2167420182","https://openalex.org/W2171542563","https://openalex.org/W2189134720","https://openalex.org/W2249223245","https://openalex.org/W2261730354","https://openalex.org/W2269590061","https://openalex.org/W2295686518","https://openalex.org/W2339234205","https://openalex.org/W2475322788","https://openalex.org/W2625658821","https://openalex.org/W2735138796","https://openalex.org/W2738691283","https://openalex.org/W2751747863","https://openalex.org/W2769701629","https://openalex.org/W2809705619","https://openalex.org/W2809774165","https://openalex.org/W2810303719","https://openalex.org/W2913706141","https://openalex.org/W2963197980","https://openalex.org/W2963969080","https://openalex.org/W3099803268","https://openalex.org/W3148091194","https://openalex.org/W3217759863","https://openalex.org/W4232062228","https://openalex.org/W4241602464","https://openalex.org/W4250378561","https://openalex.org/W4300866069","https://openalex.org/W6602599450","https://openalex.org/W6746608675"],"related_works":["https://openalex.org/W2517007886","https://openalex.org/W2383994331","https://openalex.org/W2116422677","https://openalex.org/W1522019333","https://openalex.org/W3121919567","https://openalex.org/W2076369646","https://openalex.org/W2364741597","https://openalex.org/W278047738","https://openalex.org/W2373884197","https://openalex.org/W1492103595"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2],"new":[3],"type":[4],"of":[5,35,58],"curvature":[6],"flow":[7,17,68],"for":[8],"curves":[9],"in":[10,14,49,73,85,96],"2D":[11],"and":[12,25,37,98],"surfaces":[13],"3D.":[15],"The":[16],"is":[18,106],"inspired":[19],"by":[20,33,88],"the":[21,51,59,70,89],"mathematical":[22],"morphology":[23],"opening":[24,90],"closing":[26,92],"operations.":[27,39],"These":[28],"operations":[29],"are":[30],"classically":[31],"defined":[32],"composition":[34],"dilation":[36],"erosion":[38],"In":[40,79],"practice,":[41],"existing":[42],"methods":[43],"implemented":[44],"this":[45],"way":[46],"will":[47,93],"result":[48],"re-discretizing":[50],"entire":[52],"shape,":[53],"even":[54],"if":[55],"some":[56],"parts":[57],"surface":[60,71],"do":[61,99],"not":[62,100],"change.":[63],"Instead,":[64],"our":[65,80,102],"surface-only":[66],"curvature-based":[67],"moves":[69],"selectively":[72],"areas":[74],"that":[75],"should":[76],"be":[77],"repositioned.":[78],"triangle":[81],"mesh":[82],"discretization,":[83],"vertices":[84],"regions":[86],"unaffected":[87],"or":[91],"remain":[94],"exactly":[95],"place":[97],"affect":[101],"method's":[103],"complexity,":[104],"which":[105],"output-sensitive.":[107]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}