{"id":"https://openalex.org/W4412673711","doi":"https://doi.org/10.1145/3731181","title":"Designing 3D Anisotropic Frame Fields with Odeco Tensors","display_name":"Designing 3D Anisotropic Frame Fields with Odeco Tensors","publication_year":2025,"publication_date":"2025-07-27","ids":{"openalex":"https://openalex.org/W4412673711","doi":"https://doi.org/10.1145/3731181"},"language":"en","primary_location":{"id":"doi:10.1145/3731181","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3731181","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":"hybrid","oa_url":"https://doi.org/10.1145/3731181","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000705218","display_name":"Haikuan Zhu","orcid":"https://orcid.org/0000-0001-5740-0599"},"institutions":[{"id":"https://openalex.org/I185443292","display_name":"Wayne State University","ror":"https://ror.org/01070mq45","country_code":"US","type":"education","lineage":["https://openalex.org/I185443292"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Haikuan Zhu","raw_affiliation_strings":["Wayne State University, Detroit, USA"],"raw_orcid":"https://orcid.org/0000-0001-5740-0599","affiliations":[{"raw_affiliation_string":"Wayne State University, Detroit, USA","institution_ids":["https://openalex.org/I185443292"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101657865","display_name":"Hongbo Li","orcid":"https://orcid.org/0009-0005-9072-1489"},"institutions":[{"id":"https://openalex.org/I185443292","display_name":"Wayne State University","ror":"https://ror.org/01070mq45","country_code":"US","type":"education","lineage":["https://openalex.org/I185443292"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hongbo Li","raw_affiliation_strings":["Wayne State University, Detroit, USA"],"raw_orcid":"https://orcid.org/0009-0005-9072-1489","affiliations":[{"raw_affiliation_string":"Wayne State University, Detroit, USA","institution_ids":["https://openalex.org/I185443292"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046199795","display_name":"Hsueh\u2010Ti Derek Liu","orcid":"https://orcid.org/0009-0001-1753-4485"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Hsueh-Ti Derek Liu","raw_affiliation_strings":["Roblox, Vancouver, Canada","University of British Columbia, Vancouver, Canada"],"raw_orcid":"https://orcid.org/0009-0001-1753-4485","affiliations":[{"raw_affiliation_string":"Roblox, Vancouver, Canada","institution_ids":[]},{"raw_affiliation_string":"University of British Columbia, Vancouver, Canada","institution_ids":["https://openalex.org/I141945490"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100668416","display_name":"Wenping Wang","orcid":"https://orcid.org/0000-0002-2284-3952"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wenping Wang","raw_affiliation_strings":["Texas A&M University, College Station, USA"],"raw_orcid":"https://orcid.org/0000-0002-2284-3952","affiliations":[{"raw_affiliation_string":"Texas A&M University, College Station, USA","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102022483","display_name":"Jing Hua","orcid":"https://orcid.org/0000-0002-3981-2933"},"institutions":[{"id":"https://openalex.org/I185443292","display_name":"Wayne State University","ror":"https://ror.org/01070mq45","country_code":"US","type":"education","lineage":["https://openalex.org/I185443292"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jing Hua","raw_affiliation_strings":["Wayne State University, Detroit, USA"],"raw_orcid":"https://orcid.org/0000-0002-3981-2933","affiliations":[{"raw_affiliation_string":"Wayne State University, Detroit, USA","institution_ids":["https://openalex.org/I185443292"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082598478","display_name":"Zichun Zhong","orcid":"https://orcid.org/0000-0001-6489-6502"},"institutions":[{"id":"https://openalex.org/I185443292","display_name":"Wayne State University","ror":"https://ror.org/01070mq45","country_code":"US","type":"education","lineage":["https://openalex.org/I185443292"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zichun Zhong","raw_affiliation_strings":["Wayne State University, Detroit, USA"],"raw_orcid":"https://orcid.org/0000-0001-6489-6502","affiliations":[{"raw_affiliation_string":"Wayne State University, Detroit, USA","institution_ids":["https://openalex.org/I185443292"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6683,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.70114055,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"44","issue":"4","first_page":"1","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11870","display_name":"Structural Analysis and Optimization","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/T11870","display_name":"Structural Analysis and Optimization","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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":0.9912999868392944,"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/anisotropy","display_name":"Anisotropy","score":0.5814948081970215},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.5653664469718933},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5059706568717957},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.43468648195266724},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.41152191162109375},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3913044035434723},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3443911075592041},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3367629051208496},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3025343418121338},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2612434923648834},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.14195692539215088}],"concepts":[{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.5814948081970215},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.5653664469718933},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5059706568717957},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.43468648195266724},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.41152191162109375},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3913044035434723},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3443911075592041},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3367629051208496},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3025343418121338},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2612434923648834},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.14195692539215088},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3731181","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3731181","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/3731181","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3731181","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/G4516891795","display_name":"Elements: MVP: Open-Source AI-Powered MicroVessel Processor for Next-Generation Vascular Imaging Data","funder_award_id":"2311245","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4681122321","display_name":"OAC Core: Small: Shape-Image-Text: A Data-Driven Joint Embedding Framework for Representing and Analyzing Large-Scale Brain Microvascular Data","funder_award_id":"1910469","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6739755395","display_name":"CAREER: A Parallel and Efficient Computational Framework for Unified Volumetric Meshing in Large-Scale 3D/4D Anisotropy","funder_award_id":"1845962","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W1971958581","https://openalex.org/W1973730326","https://openalex.org/W1977101402","https://openalex.org/W1986429224","https://openalex.org/W2024243735","https://openalex.org/W2026043300","https://openalex.org/W2030322781","https://openalex.org/W2031783335","https://openalex.org/W2039932436","https://openalex.org/W2051203581","https://openalex.org/W2051434435","https://openalex.org/W2054607036","https://openalex.org/W2086210210","https://openalex.org/W2091749278","https://openalex.org/W2109991971","https://openalex.org/W2137310361","https://openalex.org/W2143496291","https://openalex.org/W2171511904","https://openalex.org/W2342708195","https://openalex.org/W2407093484","https://openalex.org/W2475322788","https://openalex.org/W2549535666","https://openalex.org/W2558611828","https://openalex.org/W2738718776","https://openalex.org/W2739288568","https://openalex.org/W2746836818","https://openalex.org/W2769701629","https://openalex.org/W2807180962","https://openalex.org/W2810142088","https://openalex.org/W2810146865","https://openalex.org/W2912060941","https://openalex.org/W2941214678","https://openalex.org/W2949256730","https://openalex.org/W2956434516","https://openalex.org/W2956819335","https://openalex.org/W2962780963","https://openalex.org/W2963872471","https://openalex.org/W2967022070","https://openalex.org/W2991825246","https://openalex.org/W2999602145","https://openalex.org/W3004386410","https://openalex.org/W3013047099","https://openalex.org/W3015365395","https://openalex.org/W3021519727","https://openalex.org/W3138395732","https://openalex.org/W3139081031","https://openalex.org/W3140358950","https://openalex.org/W4200255628","https://openalex.org/W4206665192","https://openalex.org/W4214522959","https://openalex.org/W4241602464","https://openalex.org/W4386557212","https://openalex.org/W4391421461","https://openalex.org/W4392406374","https://openalex.org/W4400019172","https://openalex.org/W4401331539","https://openalex.org/W4404965932"],"related_works":["https://openalex.org/W1971715485","https://openalex.org/W27212783","https://openalex.org/W2112067436","https://openalex.org/W2076389328","https://openalex.org/W4206639753","https://openalex.org/W4292694493","https://openalex.org/W2135897680","https://openalex.org/W2046911772","https://openalex.org/W2026948077","https://openalex.org/W3186835510"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"a":[3,7,12,18,53],"method":[4,51],"to":[5,69,84,124],"synthesize":[6],"3D":[8],"tensor":[9,32,67,78,103,122],"field":[10],"within":[11],"constrained":[13],"geometric":[14],"domain":[15,41,114],"represented":[16],"as":[17,128],"tetrahedral":[19],"mesh.":[20],"Whereas":[21],"previous":[22],"techniques":[23,86],"optimize":[24,70],"for":[25,76,89,112],"isotropic":[26,90],"fields,":[27],"we":[28,92],"focus":[29],"on":[30,59],"anisotropic":[31,121,129],"fields":[33,104,123],"that":[34],"are":[35],"smooth":[36,101],"and":[37,74,108,133],"aligned":[38],"with":[39,105,115],"the":[40,62,71,80,94,113],"boundary":[42],"or":[43],"user":[44],"guidance.":[45],"The":[46],"key":[47],"ingredient":[48],"of":[49,61,96],"our":[50,97],"is":[52],"novel":[54],"computational":[55],"design":[56],"framework,":[57],"built":[58],"top":[60],"symmetric":[63],"orthogonally":[64],"decomposable":[65],"(odeco)":[66],"representation,":[68],"stretching":[72],"ratios":[73],"orientations":[75],"each":[77],"in":[79,99],"domain.":[81],"In":[82],"contrast":[83],"past":[85],"designed":[87],"only":[88],"tensors,":[91],"demonstrate":[93],"efficacy":[95],"approach":[98],"generating":[100],"volumetric":[102],"high":[106],"anisotropy":[107],"shape":[109],"conformity,":[110],"especially":[111],"complex":[116],"shapes.":[117],"We":[118],"apply":[119],"these":[120],"various":[125],"applications,":[126],"such":[127],"meshing,":[130],"structural":[131],"mechanics,":[132],"fabrication.":[134]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}