{"id":"https://openalex.org/W2219940092","doi":"https://doi.org/10.1109/tvcg.2015.2484343","title":"Feature Surfaces in Symmetric Tensor Fields Based on Eigenvalue Manifold","display_name":"Feature Surfaces in Symmetric Tensor Fields Based on Eigenvalue Manifold","publication_year":2015,"publication_date":"2015-10-01","ids":{"openalex":"https://openalex.org/W2219940092","doi":"https://doi.org/10.1109/tvcg.2015.2484343","mag":"2219940092","pmid":"https://pubmed.ncbi.nlm.nih.gov/26441450"},"language":"en","primary_location":{"id":"doi:10.1109/tvcg.2015.2484343","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvcg.2015.2484343","pdf_url":null,"source":{"id":"https://openalex.org/S84775595","display_name":"IEEE Transactions on Visualization and Computer Graphics","issn_l":"1077-2626","issn":["1077-2626","1941-0506","2160-9306"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Visualization and Computer Graphics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5029666042","display_name":"Jonathan Palacios","orcid":"https://orcid.org/0000-0003-1989-7834"},"institutions":[{"id":"https://openalex.org/I131249849","display_name":"Oregon State University","ror":"https://ror.org/00ysfqy60","country_code":"US","type":"education","lineage":["https://openalex.org/I131249849"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jonathan Palacios","raw_affiliation_strings":["School of Electrical Engineering and Computer Science, Oregon State University, 1148 Kelley Engineering Center, Corvallis, OR"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, Oregon State University, 1148 Kelley Engineering Center, Corvallis, OR","institution_ids":["https://openalex.org/I131249849"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012542802","display_name":"Harry Yeh","orcid":"https://orcid.org/0000-0002-2891-4555"},"institutions":[{"id":"https://openalex.org/I131249849","display_name":"Oregon State University","ror":"https://ror.org/00ysfqy60","country_code":"US","type":"education","lineage":["https://openalex.org/I131249849"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Harry Yeh","raw_affiliation_strings":["School of Civil and Construction Engineering, Oregon State University, 208 Owen Hall, Corvallis, OR"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Civil and Construction Engineering, Oregon State University, 208 Owen Hall, Corvallis, OR","institution_ids":["https://openalex.org/I131249849"]}]},{"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/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Wenping Wang","raw_affiliation_strings":["Department of Computer Science, The University of Hong Kong, Pokfulam Road, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, The University of Hong Kong, Pokfulam Road, Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100333760","display_name":"Yue Zhang","orcid":"https://orcid.org/0000-0002-8467-2781"},"institutions":[{"id":"https://openalex.org/I131249849","display_name":"Oregon State University","ror":"https://ror.org/00ysfqy60","country_code":"US","type":"education","lineage":["https://openalex.org/I131249849"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yue Zhang","raw_affiliation_strings":["School of Electrical Engineering and Computer Science, Oregon State University, 3117 Kelley Engineering Center, Corvallis, OR"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, Oregon State University, 3117 Kelley Engineering Center, Corvallis, OR","institution_ids":["https://openalex.org/I131249849"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031570473","display_name":"Robert S. Laramee","orcid":"https://orcid.org/0000-0002-3874-6145"},"institutions":[{"id":"https://openalex.org/I39586589","display_name":"Swansea University","ror":"https://ror.org/053fq8t95","country_code":"GB","type":"education","lineage":["https://openalex.org/I39586589"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Robert S. Laramee","raw_affiliation_strings":["Department of Computer Science, Swansea University, Wales, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Swansea University, Wales, UK","institution_ids":["https://openalex.org/I39586589"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056416234","display_name":"Ritesh Sharma","orcid":"https://orcid.org/0000-0003-1160-3918"},"institutions":[{"id":"https://openalex.org/I131249849","display_name":"Oregon State University","ror":"https://ror.org/00ysfqy60","country_code":"US","type":"education","lineage":["https://openalex.org/I131249849"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ritesh Sharma","raw_affiliation_strings":["School of Electrical Engineering and Computer Science, Oregon State University, 1148 Kelley Engineering Center, Corvallis, OR"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, Oregon State University, 1148 Kelley Engineering Center, Corvallis, OR","institution_ids":["https://openalex.org/I131249849"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086461942","display_name":"Thomas Schultz","orcid":"https://orcid.org/0000-0002-1200-7248"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas Schultz","raw_affiliation_strings":["Institute of Computer Science, University of Bonn, Friedrich-Ebert-Allee 144, Bonn, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, University of Bonn, Friedrich-Ebert-Allee 144, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026074051","display_name":"Eugene Zhang","orcid":"https://orcid.org/0000-0003-4752-3119"},"institutions":[{"id":"https://openalex.org/I131249849","display_name":"Oregon State University","ror":"https://ror.org/00ysfqy60","country_code":"US","type":"education","lineage":["https://openalex.org/I131249849"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eugene Zhang","raw_affiliation_strings":["School of Electrical Engineering and Computer Science, Oregon State University, 2111 Kelley Engineering Center, Corvallis, OR"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, Oregon State University, 2111 Kelley Engineering Center, Corvallis, OR","institution_ids":["https://openalex.org/I131249849"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":8,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.313,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.953428,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"22","issue":"3","first_page":"1248","last_page":"1260"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9994000196456909,"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":0.9994000196456909,"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":0.996399998664856,"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":0.9896000027656555,"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/tensor-field","display_name":"Tensor field","score":0.6801817417144775},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.657684862613678},{"id":"https://openalex.org/keywords/symmetric-tensor","display_name":"Symmetric tensor","score":0.6335528492927551},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.47936612367630005},{"id":"https://openalex.org/keywords/cartesian-tensor","display_name":"Cartesian tensor","score":0.47602468729019165},{"id":"https://openalex.org/keywords/tensor-contraction","display_name":"Tensor contraction","score":0.4752868413925171},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.44628873467445374},{"id":"https://openalex.org/keywords/tensor-calculus","display_name":"Tensor calculus","score":0.42391330003738403},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4002256989479065},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.34973984956741333},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34117406606674194},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.32788053154945374},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3048709034919739},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.19041377305984497},{"id":"https://openalex.org/keywords/tensor-density","display_name":"Tensor density","score":0.17616957426071167},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10916963219642639}],"concepts":[{"id":"https://openalex.org/C166077713","wikidata":"https://www.wikidata.org/wiki/Q1758924","display_name":"Tensor field","level":3,"score":0.6801817417144775},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.657684862613678},{"id":"https://openalex.org/C20178491","wikidata":"https://www.wikidata.org/wiki/Q2204117","display_name":"Symmetric tensor","level":3,"score":0.6335528492927551},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.47936612367630005},{"id":"https://openalex.org/C64835786","wikidata":"https://www.wikidata.org/wiki/Q17004583","display_name":"Cartesian tensor","level":5,"score":0.47602468729019165},{"id":"https://openalex.org/C124007464","wikidata":"https://www.wikidata.org/wiki/Q428091","display_name":"Tensor contraction","level":3,"score":0.4752868413925171},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.44628873467445374},{"id":"https://openalex.org/C90952326","wikidata":"https://www.wikidata.org/wiki/Q3650511","display_name":"Tensor calculus","level":4,"score":0.42391330003738403},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4002256989479065},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.34973984956741333},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34117406606674194},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.32788053154945374},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3048709034919739},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.19041377305984497},{"id":"https://openalex.org/C148125525","wikidata":"https://www.wikidata.org/wiki/Q904927","display_name":"Tensor density","level":4,"score":0.17616957426071167},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10916963219642639},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tvcg.2015.2484343","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvcg.2015.2484343","pdf_url":null,"source":{"id":"https://openalex.org/S84775595","display_name":"IEEE Transactions on Visualization and Computer Graphics","issn_l":"1077-2626","issn":["1077-2626","1941-0506","2160-9306"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Visualization and Computer Graphics","raw_type":"journal-article"},{"id":"pmid:26441450","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/26441450","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on visualization and computer graphics","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.720.3239","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.720.3239","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cs.swan.ac.uk/%7Ecsbob/research/tensorTopology/3D/zhang15feature.pdf","raw_type":"text"},{"id":"pmh:oai:hub.hku.hk:10722/250603","is_oa":false,"landing_page_url":"http://hdl.handle.net/10722/250603","pdf_url":null,"source":{"id":"https://openalex.org/S4377196271","display_name":"The HKU Scholars Hub (University of Hong Kong)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I889458895","host_organization_name":"University of Hong Kong","host_organization_lineage":["https://openalex.org/I889458895"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.44999998807907104,"id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G5868900156","display_name":null,"funder_award_id":"IIS-0917308","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/F4320311026","display_name":"Shandong University","ror":"https://ror.org/0207yh398"},{"id":"https://openalex.org/F4320311401","display_name":"Oregon State University","ror":"https://ror.org/00ysfqy60"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W36272593","https://openalex.org/W567046826","https://openalex.org/W1598798740","https://openalex.org/W1965575981","https://openalex.org/W1968786458","https://openalex.org/W2003067321","https://openalex.org/W2003370853","https://openalex.org/W2050439505","https://openalex.org/W2073470731","https://openalex.org/W2087392335","https://openalex.org/W2095105262","https://openalex.org/W2097279347","https://openalex.org/W2104441030","https://openalex.org/W2104612961","https://openalex.org/W2115590040","https://openalex.org/W2123415944","https://openalex.org/W2123421747","https://openalex.org/W2125105302","https://openalex.org/W2126899470","https://openalex.org/W2136690777","https://openalex.org/W2137161964","https://openalex.org/W2137310361","https://openalex.org/W2140931997","https://openalex.org/W2149359100","https://openalex.org/W2152298929","https://openalex.org/W2153623993","https://openalex.org/W2158810451","https://openalex.org/W2159936057","https://openalex.org/W2163713870","https://openalex.org/W2171511904","https://openalex.org/W2184736891","https://openalex.org/W2324095287","https://openalex.org/W3141390699","https://openalex.org/W4234206015","https://openalex.org/W4235767492","https://openalex.org/W6635704306","https://openalex.org/W6680761567","https://openalex.org/W6682787178","https://openalex.org/W6686096877","https://openalex.org/W6832326957"],"related_works":["https://openalex.org/W1965338607","https://openalex.org/W2981910625","https://openalex.org/W4317655647","https://openalex.org/W580828544","https://openalex.org/W2607194831","https://openalex.org/W2010106354","https://openalex.org/W2140318063","https://openalex.org/W2066112700","https://openalex.org/W2005375943","https://openalex.org/W2265976129"],"abstract_inverted_index":{"Three-dimensional":[0],"symmetric":[1,23],"tensor":[2,24,51,109,124,126,129],"fields":[3,25],"have":[4,133],"a":[5,38,98,106,180,195],"wide":[6],"range":[7],"of":[8,21,40,58,81,86,100,123,158,183,225],"applications":[9,138],"in":[10,17,139],"solid":[11,142,237],"and":[12,47,69,72,84,93,119,128,141,146,160,175,238],"fluid":[13,140,239],"mechanics.":[14,143],"Recent":[15],"advances":[16],"the":[18,56,64,73,77,101,121,150,156,199,207,215,223],"(topological)":[19],"analysis":[20,111,233],"3D":[22],"focus":[26],"on":[27,55],"degenerate":[28,113,227],"tensors":[29,68,80],"which":[30,104,131,163,185],"form":[31,97],"curves.":[32,228],"In":[33,211],"this":[34],"paper,":[35],"we":[36,132,178,213,230],"introduce":[37],"number":[39],"feature":[41],"surfaces,":[42,49,92,177],"such":[43],"as":[44,204,206,241,243],"neutral":[45,91,145,173],"surfaces":[46,62,75,95,148,174],"traceless":[48,74,94,147,176],"into":[50],"field":[52,110,245],"analysis,":[53],"based":[54],"notion":[57],"eigenvalue":[59,102],"manifold.":[60],"Neutral":[61],"are":[63,76],"boundary":[65,78],"between":[66,79],"linear":[67],"planar":[70],"tensors,":[71],"positive":[82],"traces":[83],"those":[85],"negative":[87],"traces.":[88],"Degenerate":[89],"curves,":[90],"together":[96],"partition":[99],"manifold,":[103],"provides":[105],"more":[107],"complete":[108],"than":[112],"curves":[114],"alone.":[115],"We":[116],"also":[117],"extract":[118,172],"visualize":[120],"isosurfaces":[122],"modes,":[125],"isotropy,":[127],"magnitude,":[130],"found":[134],"useful":[135],"for":[136],"domain":[137],"Extracting":[144],"using":[149],"Marching":[151],"Tetrahedra":[152],"method":[153],"can":[154,164],"cause":[155],"loss":[157],"geometric":[159],"topological":[161],"details,":[162],"lead":[165],"to":[166,188,221,234],"false":[167],"physical":[168],"interpretation.":[169],"To":[170],"robustly":[171],"develop":[179],"polynomial":[181],"description":[182],"them":[184],"enables":[186],"us":[187],"borrow":[189],"techniques":[190],"from":[191,236],"algebraic":[192,208],"surface":[193,216],"extraction,":[194],"topic":[196],"well-researched":[197],"by":[198],"computer-aided":[200],"design":[201],"(CAD)":[202],"community":[203],"well":[205,242],"geometry":[209],"community.":[210],"addition,":[212],"adapt":[214],"extraction":[217],"technique,":[218],"called":[219],"A-patches,":[220],"improve":[222],"speed":[224],"finding":[226],"Finally,":[229],"apply":[231],"our":[232],"data":[235],"mechanics":[240],"scalar":[244],"analysis.":[246]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}