{"id":"https://openalex.org/W3154675906","doi":"https://doi.org/10.1145/3516522","title":"Synthesis of Frame Field-Aligned Multi-Laminar Structures","display_name":"Synthesis of Frame Field-Aligned Multi-Laminar Structures","publication_year":2022,"publication_date":"2022-02-24","ids":{"openalex":"https://openalex.org/W3154675906","doi":"https://doi.org/10.1145/3516522","mag":"3154675906"},"language":"en","primary_location":{"id":"doi:10.1145/3516522","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3516522","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":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2104.05550","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088737415","display_name":"Florian Cyril Stutz","orcid":"https://orcid.org/0000-0001-6312-7410"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Florian Cyril Stutz","raw_affiliation_strings":["Technical University of Denmark, Lyngby, Denmark","Technical University of Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technical University of Denmark, Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]},{"raw_affiliation_string":"Technical University of Denmark","institution_ids":["https://openalex.org/I96673099"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085964172","display_name":"Tim Felle Olsen","orcid":"https://orcid.org/0000-0002-4531-7226"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Tim Felle Olsen","raw_affiliation_strings":["Technical University of Denmark, Lyngby, Denmark","Technical University of Denmark"],"raw_orcid":"https://orcid.org/0000-0002-4531-7226","affiliations":[{"raw_affiliation_string":"Technical University of Denmark, Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]},{"raw_affiliation_string":"Technical University of Denmark","institution_ids":["https://openalex.org/I96673099"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062204918","display_name":"Jeroen P. Groen","orcid":"https://orcid.org/0000-0003-3565-9385"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Jeroen Peter Groen","raw_affiliation_strings":["Technical University of Denmark, Lyngby, Denmark","Technical University of Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technical University of Denmark, Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]},{"raw_affiliation_string":"Technical University of Denmark","institution_ids":["https://openalex.org/I96673099"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Tuan Nguyen Trung","orcid":null},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Tuan Nguyen Trung","raw_affiliation_strings":["Technical University of Denmark, Lyngby, Denmark","Technical University of Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technical University of Denmark, Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]},{"raw_affiliation_string":"Technical University of Denmark","institution_ids":["https://openalex.org/I96673099"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017489087","display_name":"Niels Aage","orcid":"https://orcid.org/0000-0002-3042-0036"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Niels Aage","raw_affiliation_strings":["Technical University of Denmark, Lyngby, Denmark","Technical University of Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technical University of Denmark, Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]},{"raw_affiliation_string":"Technical University of Denmark","institution_ids":["https://openalex.org/I96673099"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037177539","display_name":"Ole Sigmund","orcid":"https://orcid.org/0000-0003-0344-7249"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]},{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK","US"],"is_corresponding":false,"raw_author_name":"Ole Sigmund","raw_affiliation_strings":["Technical University of Denmark, Lyngby, Denmark","Massachusetts Institute Of Technology#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technical University of Denmark, Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]},{"raw_affiliation_string":"Massachusetts Institute Of Technology#TAB#","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036542947","display_name":"Justin Solomon","orcid":"https://orcid.org/0000-0002-7701-7586"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]},{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK","US"],"is_corresponding":false,"raw_author_name":"Justin Solomon","raw_affiliation_strings":["Massachusetts Institute of Technology, Cambridge, MA, United States of America","Technical University of Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology, Cambridge, MA, United States of America","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Technical University of Denmark","institution_ids":["https://openalex.org/I96673099"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032257710","display_name":"Jakob Andreas B\u00e6rentzen","orcid":"https://orcid.org/0000-0003-2583-0660"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Jakob Andreas B\u00e6rentzen","raw_affiliation_strings":["Technical University of Denmark, Lyngby, Denmark"],"raw_orcid":"https://orcid.org/0000-0003-2583-0660","affiliations":[{"raw_affiliation_string":"Technical University of Denmark, Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.701,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.56872719,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"41","issue":"5","first_page":"1","last_page":"20"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9843999743461609,"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":0.9843999743461609,"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/T11211","display_name":"3D Surveying and Cultural Heritage","score":0.9703999757766724,"subfield":{"id":"https://openalex.org/subfields/1907","display_name":"Geology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9649999737739563,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/laminar-flow","display_name":"Laminar flow","score":0.5690576434135437},{"id":"https://openalex.org/keywords/homogenization","display_name":"Homogenization (climate)","score":0.5404760241508484},{"id":"https://openalex.org/keywords/parametrization","display_name":"Parametrization (atmospheric modeling)","score":0.5097286105155945},{"id":"https://openalex.org/keywords/tracing","display_name":"Tracing","score":0.4798142910003662},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47615739703178406},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.45641782879829407},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4414834678173065},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.42010068893432617},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38195839524269104},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17858806252479553},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.13746309280395508},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.08863365650177002}],"concepts":[{"id":"https://openalex.org/C76563973","wikidata":"https://www.wikidata.org/wiki/Q189452","display_name":"Laminar flow","level":2,"score":0.5690576434135437},{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.5404760241508484},{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.5097286105155945},{"id":"https://openalex.org/C138673069","wikidata":"https://www.wikidata.org/wiki/Q322229","display_name":"Tracing","level":2,"score":0.4798142910003662},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47615739703178406},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.45641782879829407},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4414834678173065},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.42010068893432617},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38195839524269104},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17858806252479553},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.13746309280395508},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.08863365650177002},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","level":2,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1145/3516522","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3516522","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:arXiv.org:2104.05550","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2104.05550","pdf_url":"https://arxiv.org/pdf/2104.05550","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:3154675906","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2104.05550","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:dspace.mit.edu:1721.1/146139","is_oa":true,"landing_page_url":"https://hdl.handle.net/1721.1/146139","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM","raw_type":"Article"},{"id":"pmh:oai:pure.atira.dk:publications/e66a3583-7a83-4e3e-bab6-f41ab54ce77a","is_oa":true,"landing_page_url":"https://orbit.dtu.dk/en/publications/e66a3583-7a83-4e3e-bab6-f41ab54ce77a","pdf_url":null,"source":{"id":"https://openalex.org/S4306400705","display_name":"Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I96673099","host_organization_name":"Technical University of Denmark","host_organization_lineage":["https://openalex.org/I96673099"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Stutz , F C , Olsen , T F , Groen , J P , Trung , T N , Aage , N , Sigmund , O , Solomon , J &amp; B\u00e6rentzen , J A 2022 , ' Synthesis of Frame Field-Aligned Multi-Laminar Structures ' , A C M Transactions on Graphics , vol. 41 , no. 5 , 170 . https://doi.org/10.1145/3516522","raw_type":"article"},{"id":"doi:10.48550/arxiv.2104.05550","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2104.05550","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2104.05550","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2104.05550","pdf_url":"https://arxiv.org/pdf/2104.05550","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.6299999952316284}],"awards":[{"id":"https://openalex.org/G3612638329","display_name":null,"funder_award_id":"IIS-1838071 and CHS-1955697","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G420720937","display_name":null,"funder_award_id":"FA9550-19-1-031","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G7190369635","display_name":"CHS: Medium: Collaborative Research: Discovery and Exploration of Design Trade-Offs","funder_award_id":"1955697","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8479273144","display_name":null,"funder_award_id":"IIS-1838071","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G995230906","display_name":"BIGDATA:F: Statistical and Computational Optimal Transport for Geometric Data Analysis","funder_award_id":"1838071","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320310490","display_name":"Villum Fonden","ror":"https://ror.org/007ww2d15"},{"id":"https://openalex.org/F4320324442","display_name":"Skolkovo Institute of Science and Technology","ror":"https://ror.org/03f9nc143"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W1981948516","https://openalex.org/W1986234613","https://openalex.org/W1987703532","https://openalex.org/W2004679400","https://openalex.org/W2025390098","https://openalex.org/W2029242918","https://openalex.org/W2037240691","https://openalex.org/W2051913051","https://openalex.org/W2061987443","https://openalex.org/W2069697210","https://openalex.org/W2069882750","https://openalex.org/W2077619569","https://openalex.org/W2082772288","https://openalex.org/W2088681712","https://openalex.org/W2092801729","https://openalex.org/W2113642685","https://openalex.org/W2117141060","https://openalex.org/W2129412583","https://openalex.org/W2171163714","https://openalex.org/W2220999736","https://openalex.org/W2299787380","https://openalex.org/W2465272462","https://openalex.org/W2466891422","https://openalex.org/W2611741623","https://openalex.org/W2739288568","https://openalex.org/W2761536263","https://openalex.org/W2790070592","https://openalex.org/W2793241137","https://openalex.org/W2902393810","https://openalex.org/W2947807161","https://openalex.org/W2967022070","https://openalex.org/W2991825246","https://openalex.org/W3012258678","https://openalex.org/W3031335110","https://openalex.org/W3035190114","https://openalex.org/W3048476668","https://openalex.org/W3048555161","https://openalex.org/W3061341926","https://openalex.org/W4249480917","https://openalex.org/W6654336028","https://openalex.org/W6729704852","https://openalex.org/W6738376119","https://openalex.org/W6752768766","https://openalex.org/W6912149705"],"related_works":["https://openalex.org/W2131042673","https://openalex.org/W2962906584","https://openalex.org/W2897143446","https://openalex.org/W2835221521","https://openalex.org/W2039522712","https://openalex.org/W2181137366","https://openalex.org/W173417340","https://openalex.org/W2784292339","https://openalex.org/W2024034496","https://openalex.org/W3014039970","https://openalex.org/W2408034995","https://openalex.org/W52682251","https://openalex.org/W400268474","https://openalex.org/W2005127936","https://openalex.org/W2074441105","https://openalex.org/W2312214452","https://openalex.org/W3142614687","https://openalex.org/W1525628378","https://openalex.org/W2926135611","https://openalex.org/W68467417"],"abstract_inverted_index":{"In":[0],"the":[1,6,17,30,33,62,66,73,100,109,143,178,190],"field":[2],"of":[3,32,65,99,122,142],"topology":[4,194],"optimization,":[5],"homogenization":[7,191],"approach":[8,192],"has":[9],"been":[10],"revived":[11],"as":[12],"an":[13,45,114],"important":[14],"alternative":[15],"to":[16,117,146,176,193],"established,":[18],"density-based":[19],"methods.":[20],"Homogenization":[21],"can":[22],"represent":[23],"microstructures":[24],"at":[25],"length":[26],"scales":[27],"decoupled":[28],"from":[29,87,159],"resolution":[31],"computational":[34],"grid.":[35],"The":[36],"optimal":[37],"microstructure":[38],"for":[39,83,155,170],"a":[40,81,97,119,133,140,153,160,167],"single":[41],"load":[42],"case":[43],"is":[44],"orthogonal":[46,56],"rank-3":[47,57,92],"laminate.":[48],"Initially,":[49],"we":[50,68,79,102,135,151],"investigate":[51],"where":[52],"singularities":[53],"occur":[54],"in":[55],"laminates":[58],"and":[59,112,173],"show":[60],"that":[61,90,106],"laminar":[63],"parts":[64],"structures":[67,86,158],"seek":[69],"are":[70],"unaffected":[71],"by":[72,189],"singularities.":[74],"Based":[75],"on":[76,132,184],"this":[77,148],"observation,":[78],"propose":[80],"method":[82,128,154,165,183],"generating":[84],"multi-laminar":[85,157],"frame":[88,110,144,186],"fields":[89,111,145,187],"describe":[91],"laminates.":[93],"Rather":[94],"than":[95],"establishing":[96],"parametrization":[98],"domain,":[101],"compute":[103],"stream":[104,124,161],"surfaces":[105],"align":[107],"with":[108],"solve":[113],"optimization":[115],"problem":[116],"find":[118],"well-spaced":[120],"collection":[121],"such":[123],"surfaces.":[125],"Since":[126],"our":[127,182],"does":[129],"not":[130,138],"rely":[131],"parametrization,":[134],"also":[136],"do":[137],"need":[139],"combing":[141],"generate":[147],"collection.":[149,163],"Finally,":[150],"provide":[152],"synthesizing":[156],"surface":[162,172],"This":[164],"produces":[166],"volumetric":[168],"solid":[169],"each":[171],"combines":[174],"these":[175],"form":[177],"output.":[179],"We":[180],"demonstrate":[181],"several":[185],"produced":[188],"optimization.":[195]},"counts_by_year":[{"year":2024,"cited_by_count":5}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}
