{"id":"https://openalex.org/W2012115187","doi":"https://doi.org/10.1115/1.1881352","title":"Trivariate Simplex Splines for Inhomogeneous Solid Modeling in Engineering Design","display_name":"Trivariate Simplex Splines for Inhomogeneous Solid Modeling in Engineering Design","publication_year":2005,"publication_date":"2005-01-21","ids":{"openalex":"https://openalex.org/W2012115187","doi":"https://doi.org/10.1115/1.1881352","mag":"2012115187"},"language":"en","primary_location":{"id":"doi:10.1115/1.1881352","is_oa":false,"landing_page_url":"https://doi.org/10.1115/1.1881352","pdf_url":null,"source":{"id":"https://openalex.org/S173178594","display_name":"Journal of Computing and Information Science in Engineering","issn_l":"1530-9827","issn":["1530-9827","1944-7078"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316053","host_organization_name":"ASM International","host_organization_lineage":["https://openalex.org/P4310316053"],"host_organization_lineage_names":["ASM International"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computing and Information Science in Engineering","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/A5102022483","display_name":"Jing Hua","orcid":"https://orcid.org/0000-0002-3981-2933"},"institutions":[{"id":"https://openalex.org/I125866687","display_name":"Wayne State College","ror":"https://ror.org/02cntrd02","country_code":"US","type":"education","lineage":["https://openalex.org/I125866687"]},{"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":["Computer Science, Wayne State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science, Wayne State University","institution_ids":["https://openalex.org/I125866687","https://openalex.org/I185443292"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100389169","display_name":"Ying He","orcid":"https://orcid.org/0000-0002-6749-4485"},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ying He","raw_affiliation_strings":["Computer Science, Stony Brook University","Computer Science, Stony Brook University,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science, Stony Brook University","institution_ids":["https://openalex.org/I59553526"]},{"raw_affiliation_string":"Computer Science, Stony Brook University,","institution_ids":["https://openalex.org/I59553526"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091408797","display_name":"Hong Qin","orcid":"https://orcid.org/0000-0001-7699-1355"},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hong Qin","raw_affiliation_strings":["Computer Science, Stony Brook University","Computer Science, Stony Brook University,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science, Stony Brook University","institution_ids":["https://openalex.org/I59553526"]},{"raw_affiliation_string":"Computer Science, Stony Brook University,","institution_ids":["https://openalex.org/I59553526"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8781,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.86923217,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"5","issue":"2","first_page":"149","last_page":"157"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9988999962806702,"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/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/simplex","display_name":"Simplex","score":0.8467953205108643},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.7095997929573059},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.544575035572052},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.5389014482498169},{"id":"https://openalex.org/keywords/rendering","display_name":"Rendering (computer graphics)","score":0.522793710231781},{"id":"https://openalex.org/keywords/solid-modeling","display_name":"Solid modeling","score":0.4973156750202179},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4375765919685364},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.33821800351142883},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32873988151550293},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.30092209577560425},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.23283526301383972},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2056490182876587},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12250959873199463},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.10911825299263}],"concepts":[{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.8467953205108643},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.7095997929573059},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.544575035572052},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.5389014482498169},{"id":"https://openalex.org/C205711294","wikidata":"https://www.wikidata.org/wiki/Q176953","display_name":"Rendering (computer graphics)","level":2,"score":0.522793710231781},{"id":"https://openalex.org/C108882727","wikidata":"https://www.wikidata.org/wiki/Q2991685","display_name":"Solid modeling","level":2,"score":0.4973156750202179},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4375765919685364},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.33821800351142883},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32873988151550293},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.30092209577560425},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.23283526301383972},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2056490182876587},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12250959873199463},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.10911825299263}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1115/1.1881352","is_oa":false,"landing_page_url":"https://doi.org/10.1115/1.1881352","pdf_url":null,"source":{"id":"https://openalex.org/S173178594","display_name":"Journal of Computing and Information Science in Engineering","issn_l":"1530-9827","issn":["1530-9827","1944-7078"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316053","host_organization_name":"ASM International","host_organization_lineage":["https://openalex.org/P4310316053"],"host_organization_lineage_names":["ASM International"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computing and Information Science in Engineering","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.110.4000","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.110.4000","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.sunysb.edu/~qin/research/jinghua-simplex-jcise2005.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.79.5988","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.79.5988","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.sunysb.edu/~vislab/papers/jh_jcise05_simplex.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5299999713897705,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1571026218","https://openalex.org/W1591196465","https://openalex.org/W1751078205","https://openalex.org/W1977237800","https://openalex.org/W1977272035","https://openalex.org/W1986604141","https://openalex.org/W1994030546","https://openalex.org/W2025030349","https://openalex.org/W2062648695","https://openalex.org/W2067607283","https://openalex.org/W2069231485","https://openalex.org/W2071808495","https://openalex.org/W2082749574","https://openalex.org/W2083801987","https://openalex.org/W2109462258","https://openalex.org/W2118600512","https://openalex.org/W2118994444","https://openalex.org/W2119196828","https://openalex.org/W2122677795","https://openalex.org/W2142095968","https://openalex.org/W2911967907","https://openalex.org/W4233776588","https://openalex.org/W4243945279","https://openalex.org/W6634005105","https://openalex.org/W6637606087","https://openalex.org/W6647170428","https://openalex.org/W6652884399","https://openalex.org/W6656672584","https://openalex.org/W6668099063","https://openalex.org/W6677536386","https://openalex.org/W6680951748","https://openalex.org/W6815562527","https://openalex.org/W6926035688"],"related_works":["https://openalex.org/W2063021680","https://openalex.org/W2357922472","https://openalex.org/W2384278689","https://openalex.org/W2386777115","https://openalex.org/W2563365141","https://openalex.org/W2888513445","https://openalex.org/W2376265369","https://openalex.org/W2383374609","https://openalex.org/W2385381085","https://openalex.org/W1980646428"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,38,44,79,86,107],"new":[4,137],"inhomogeneous":[5,101],"solid":[6,56],"modeling":[7],"paradigm":[8,14,129],"for":[9,112],"engineering":[10,133],"design.":[11],"The":[12],"proposed":[13,128],"can":[15,58,84],"represent,":[16],"model,":[17],"and":[18,30,62,116,138],"render":[19],"multidimensional":[20],"physical":[21],"attributes":[22,53],"across":[23],"any":[24],"volumetric":[25,97],"objects":[26],"of":[27,47,72,99,118],"complicated":[28],"geometry":[29,57],"topology.":[31],"A":[32],"modeled":[33,61],"object":[34],"is":[35],"formulated":[36],"with":[37,55,136],"trivariate":[39,73,89],"simplex":[40,74,90,120],"spline":[41,91,121],"defined":[42],"over":[43],"tetrahedral":[45],"decomposition":[46],"its":[48],"three-dimensional":[49],"domain.":[50],"Heterogeneous":[51],"material":[52],"associated":[54,70],"be":[59],"easily":[60],"edited":[63],"by":[64],"manipulating":[65],"the":[66,119,127,131],"control":[67],"vectors":[68],"and\u2215or":[69],"knots":[71],"splines.":[75],"We":[76],"also":[77],"develop":[78],"feature-sensitive":[80],"fitting":[81],"algorithm":[82,111],"that":[83,126],"reconstruct":[85],"compact,":[87],"continuous":[88],"from":[92],"measured,":[93],"structured,":[94],"or":[95],"unstructured":[96],"grids":[98],"real-world":[100],"objects.":[102],"In":[103],"addition,":[104],"we":[105],"propose":[106],"fast":[108],"direct":[109],"rendering":[110],"interactive":[113],"data":[114],"analysis":[115],"visualization":[117],"volumes.":[122],"Our":[123],"experiments":[124],"demonstrate":[125],"augments":[130],"current":[132],"design":[134],"techniques":[135],"unique":[139],"advantages.":[140]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
