{"id":"https://openalex.org/W2007488329","doi":"https://doi.org/10.1111/j.1467-8659.2009.01462.x","title":"Smooth Stream Surfaces of Fourth Order Precision","display_name":"Smooth Stream Surfaces of Fourth Order Precision","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2007488329","doi":"https://doi.org/10.1111/j.1467-8659.2009.01462.x","mag":"2007488329"},"language":"en","primary_location":{"id":"doi:10.1111/j.1467-8659.2009.01462.x","doi":"https://doi.org/10.1111/j.1467-8659.2009.01462.x","is_oa":false,"landing_page_url":"https://doi.org/10.1111/j.1467-8659.2009.01462.x","pdf_url":null,"source":{"id":"https://openalex.org/S67831204","display_name":"Computer Graphics Forum","issn_l":"0167-7055","issn":["0167-7055","1467-8659"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["ccf-b","cwts-core","dongbi-b","jufo-1","ki-jl-1","norway-2","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Graphics Forum","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5056806073","display_name":"Dominic Schneider","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I926574661","display_name":"Leipzig University","ror":"https://ror.org/03s7gtk40","country_code":"DE","type":"education","lineage":["https://openalex.org/I926574661"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Dominic Schneider","raw_affiliation_strings":["University of Leipzig"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Leipzig","institution_ids":["https://openalex.org/I926574661"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024349334","display_name":"Alexander Wiebel","orcid":"https://orcid.org/0000-0002-6583-3092","observed_orcids":["https://orcid.org/0000-0002-6583-3092"]},"institutions":[{"id":"https://openalex.org/I926574661","display_name":"Leipzig University","ror":"https://ror.org/03s7gtk40","country_code":"DE","type":"education","lineage":["https://openalex.org/I926574661"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Alexander Wiebel","raw_affiliation_strings":["University of Leipzig"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Leipzig","institution_ids":["https://openalex.org/I926574661"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029336209","display_name":"Gerik Scheuermann","orcid":"https://orcid.org/0000-0001-5200-8870","observed_orcids":["https://orcid.org/0000-0001-5200-8870"]},"institutions":[{"id":"https://openalex.org/I926574661","display_name":"Leipzig University","ror":"https://ror.org/03s7gtk40","country_code":"DE","type":"education","lineage":["https://openalex.org/I926574661"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Gerik Scheuermann","raw_affiliation_strings":["University of Leipzig"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Leipzig","institution_ids":["https://openalex.org/I926574661"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I926574661"],"apc_list":{"value":3710,"currency":"USD","value_usd":3710},"apc_paid":null,"fwci":4.3006,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.93509969,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":87,"max":97},"biblio":{"volume":"28","issue":"3","first_page":"871","last_page":"878"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9970999956130981,"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":0.9970999956130981,"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/T10799","display_name":"Data Visualization and Analytics","score":0.0012000000569969416,"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":0.0005000000237487257,"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/stream-surfaces","display_name":"stream surfaces","score":0.9179999828338623},{"id":"https://openalex.org/keywords/hermite-interpolation","display_name":"Hermite interpolation","score":0.6959999799728394},{"id":"https://openalex.org/keywords/vector-field-visualization","display_name":"vector field visualization","score":0.703000009059906},{"id":"https://openalex.org/keywords/c1-continuity","display_name":"C1 continuity","score":0.7720000147819519},{"id":"https://openalex.org/keywords/surface-rendering","display_name":"surface rendering","score":0.35199999809265137}],"concepts":[{"id":"https://openalex.org/C60439489","wikidata":"https://www.wikidata.org/wiki/Q634407","display_name":"Streamlines, streaklines, and pathlines","level":2,"score":0.7413570284843445},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6865683197975159},{"id":"https://openalex.org/C205711294","wikidata":"https://www.wikidata.org/wiki/Q176953","display_name":"Rendering (computer graphics)","level":2,"score":0.6676654815673828},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6277720332145691},{"id":"https://openalex.org/C186429297","wikidata":"https://www.wikidata.org/wiki/Q44451","display_name":"Hermite interpolation","level":3,"score":0.6239771842956543},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5518454313278198},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5477341413497925},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34738489985466003},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32954657077789307},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.29778575897216797},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.26679885387420654},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2013944387435913},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11841565370559692},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.07288661599159241},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1111/j.1467-8659.2009.01462.x","doi":"https://doi.org/10.1111/j.1467-8659.2009.01462.x","is_oa":false,"landing_page_url":"https://doi.org/10.1111/j.1467-8659.2009.01462.x","pdf_url":null,"source":{"id":"https://openalex.org/S67831204","display_name":"Computer Graphics Forum","issn_l":"0167-7055","issn":["0167-7055","1467-8659"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["ccf-b","cwts-core","dongbi-b","jufo-1","ki-jl-1","norway-2","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Graphics Forum","raw_type":"journal-article"},{"id":"pmh:oai:lips.informatik.uni-leipzig.de:1196","doi":null,"is_oa":false,"landing_page_url":"http://lips.informatik.uni-leipzig.de/?q=node/1196","pdf_url":null,"source":{"id":"https://openalex.org/S4377196964","display_name":"Publikation Server (Leipzig University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I926574661","host_organization_name":"Leipzig University","host_organization_lineage":["https://openalex.org/I926574661"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computer Graphics Forum (EuroVis 2009), 28(3), (to appear).","raw_type":null},{"id":"pmh:oai:lips.informatik.uni-leipzig.de:1912","doi":null,"is_oa":false,"landing_page_url":"http://lips.informatik.uni-leipzig.de/?q=node/1912","pdf_url":null,"source":{"id":"https://openalex.org/S4377196964","display_name":"Publikation Server (Leipzig University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I926574661","host_organization_name":"Leipzig University","host_organization_lineage":["https://openalex.org/I926574661"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computer Graphics Forum (EuroVis 2009), 28(3):871-878, 2009.","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320321602","display_name":"Deutsches Zentrum f\u00fcr Luft- und Raumfahrt","ror":"https://ror.org/04bwf3e34"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1975671637","https://openalex.org/W1985460713","https://openalex.org/W2061376823","https://openalex.org/W2112269749","https://openalex.org/W2117914897","https://openalex.org/W2125944019","https://openalex.org/W2127798199","https://openalex.org/W2142579447","https://openalex.org/W2171163714","https://openalex.org/W2912062511","https://openalex.org/W3148873671","https://openalex.org/W4236083265","https://openalex.org/W4246051805","https://openalex.org/W4254043703","https://openalex.org/W6926201763"],"related_works":["https://openalex.org/W6987279114","https://openalex.org/W7097657440","https://openalex.org/W2125944019","https://openalex.org/W2000685870","https://openalex.org/W7097022372","https://openalex.org/W2116824574","https://openalex.org/W2146605799","https://openalex.org/W1969252514","https://openalex.org/W7099689879","https://openalex.org/W26835956"],"abstract_inverted_index":{"Abstract":[0],"We":[1,85],"introduce":[2],"a":[3,96],"novel":[4,97],"technique":[5],"for":[6,25,29,43,81],"the":[7,33,51,63,90],"construction":[8],"of":[9,13],"smooth":[10],"stream":[11,19,55],"surfaces":[12,56],"4th":[14],"order":[15,58],"precision.":[16,59],"While":[17],"common":[18],"surface":[20,104],"techniques":[21],"use":[22,37],"linear":[23,82],"interpolation":[24,45],"generating":[26],"seed":[27],"points":[28],"new":[30,72],"streamlines":[31],"in":[32],"refinement":[34,100],"phase,":[35],"we":[36,61],"Hermite":[38,44],"interpolation.":[39],"The":[40],"derivatives":[41],"needed":[42],"are":[46],"obtained":[47],"by":[48],"integration":[49],"along":[50],"streamlines.":[52],"This":[53],"yields":[54],"of4th":[57],"Additionally,":[60],"analyse":[62],"accuracy":[64],"ofthe":[65],"well":[66,91],"known":[67,92],"Hultquist":[68],"approach":[69],"and":[70,74,95],"our":[71],"algorithm":[73],"proof":[75],"that":[76],"Hultquist's":[77],"method":[78],"is":[79,105],"exact":[80],"vector":[83],"fields.":[84],"compare":[86],"both":[87],"methods":[88],"using":[89],"distance":[93],"based":[94,99],"error":[98],"strategy.":[101],"Our":[102],"resulting":[103],"C1\u2010continuous,":[106],"enabling":[107],"improved":[108],"rendering":[109],"among":[110],"other":[111],"benefits.":[112]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}
