{"id":"https://openalex.org/W1551742155","doi":"https://doi.org/10.1007/978-3-322-84823-9_20","title":"Topological Vector Field Visualization with Clifford Algebra","display_name":"Topological Vector Field Visualization with Clifford Algebra","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1551742155","doi":"https://doi.org/10.1007/978-3-322-84823-9_20","mag":"1551742155"},"language":"de","primary_location":{"id":"doi:10.1007/978-3-322-84823-9_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-322-84823-9_20","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ausgezeichnete Informatikdissertationen 1999","raw_type":"book-chapter"},"type":"book-chapter","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/A5029336209","display_name":"Gerik Scheuermann","orcid":"https://orcid.org/0000-0001-5200-8870"},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Gerik Scheuermann","raw_affiliation_strings":["Lehrstuhl f\u00fcr Graphische Datenverarbeitung und Computergeometrie Fachbereich Informatik, Universit\u00e4t Kaiserslautern, Deutschland","Universit\u00e4t Kaiserslautern"],"affiliations":[{"raw_affiliation_string":"Lehrstuhl f\u00fcr Graphische Datenverarbeitung und Computergeometrie Fachbereich Informatik, Universit\u00e4t Kaiserslautern, Deutschland","institution_ids":["https://openalex.org/I153267046"]},{"raw_affiliation_string":"Universit\u00e4t Kaiserslautern","institution_ids":["https://openalex.org/I153267046"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5029336209"],"corresponding_institution_ids":["https://openalex.org/I153267046"],"apc_list":null,"apc_paid":null,"fwci":11.9636,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.9902439,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"213","last_page":"222"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9793000221252441,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9732000231742859,"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/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.6922089457511902},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.573982298374176},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.5691119432449341},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5183616280555725},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4987015724182129},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.47358542680740356},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47345393896102905},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.4731489419937134},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.4687160551548004},{"id":"https://openalex.org/keywords/computational-fluid-dynamics","display_name":"Computational fluid dynamics","score":0.46528831124305725},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4355221390724182},{"id":"https://openalex.org/keywords/vortex","display_name":"Vortex","score":0.41418784856796265},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3610302805900574},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2752254009246826},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2203681766986847},{"id":"https://openalex.org/keywords/aerospace-engineering","display_name":"Aerospace engineering","score":0.20174163579940796},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19388291239738464},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1625176966190338},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.16246473789215088},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14621469378471375},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12964078783988953},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1200309693813324},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.11663171648979187},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.10079613327980042}],"concepts":[{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.6922089457511902},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.573982298374176},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.5691119432449341},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5183616280555725},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4987015724182129},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.47358542680740356},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47345393896102905},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.4731489419937134},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.4687160551548004},{"id":"https://openalex.org/C1633027","wikidata":"https://www.wikidata.org/wiki/Q815820","display_name":"Computational fluid dynamics","level":2,"score":0.46528831124305725},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4355221390724182},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.41418784856796265},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3610302805900574},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2752254009246826},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2203681766986847},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.20174163579940796},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19388291239738464},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1625176966190338},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.16246473789215088},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14621469378471375},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12964078783988953},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1200309693813324},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.11663171648979187},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.10079613327980042},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-322-84823-9_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-322-84823-9_20","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ausgezeichnete Informatikdissertationen 1999","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W65837606","https://openalex.org/W1900939912","https://openalex.org/W1977532084","https://openalex.org/W2036304985","https://openalex.org/W2077283376","https://openalex.org/W2125638038","https://openalex.org/W2142195325","https://openalex.org/W3148803860","https://openalex.org/W3149886328","https://openalex.org/W3216015027"],"related_works":["https://openalex.org/W2367652182","https://openalex.org/W2037074416","https://openalex.org/W1519931592","https://openalex.org/W2101207231","https://openalex.org/W2741873457","https://openalex.org/W2319983895","https://openalex.org/W2142192217","https://openalex.org/W3168427792","https://openalex.org/W2037332128","https://openalex.org/W4293086820"],"abstract_inverted_index":{"Visualization":[0],"is":[1],"the":[2,9,19,22,44],"discipline":[3],"in":[4,146],"Computer":[5],"Science":[6],"dealing":[7],"with":[8],"representation":[10],"of":[11,46,62,102,141],"data":[12,80],"by":[13,126],"computer":[14],"generated":[15],"images.":[16],"\u201cIt":[17],"transforms":[18],"symbolic":[20],"into":[21],"geometric,":[23],"enabling":[24],"researchers":[25],"to":[26,54,105,109],"observe":[27],"their":[28,103],"simulations":[29],"and":[30,50,60,65,73,91,119],"computations,\u201d":[31],"[MD87,":[32],"p.":[33],"2].":[34],"One":[35],"major":[36],"area":[37],"visualizes":[38],"vector":[39,55],"fields.":[40],"In":[41,67,112],"applied":[42],"mathematics,":[43],"study":[45],"gas":[47],"dynamics,":[48],"combustion":[49],"fluid":[51,70,113],"flow":[52],"leads":[53],"fields":[56],"describing":[57],"velocity,":[58],"vorticity,":[59],"gradients":[61],"pressure,":[63],"density":[64],"temperature.":[66],"engineering,":[68],"computational":[69],"dynamics":[71],"(CFD)":[72],"finite":[74],"element":[75],"analysis":[76],"(FEA)":[77],"produce":[78],"large":[79],"sets.":[81],"They":[82],"are":[83,132,144],"central":[84],"for":[85],"aeronautics,":[86],"automotive":[87],"design,":[88],"construction,":[89],"meteorology":[90],"geology.":[92],"Methods":[93],"based":[94,133],"on":[95,134],"topology":[96,128],"have":[97],"been":[98],"used":[99],"successfully":[100],"because":[101],"ability":[104],"concentrate":[106],"information":[107],"related":[108],"important":[110,115],"properties.":[111],"flows,":[114],"features":[116],"like":[117],"vortices":[118],"separation":[120],"lines":[121],"can":[122],"be":[123],"detected":[124],"automatically":[125],"extracting":[127],"[HH91].":[129],"Conventional":[130],"approaches":[131],"piecewise":[135],"linear":[136],"or":[137],"bilinear":[138],"interpolation.":[139],"Drawbacks":[140],"these":[142],"methods":[143],"attacked":[145],"this":[147],"thesis.":[148]},"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}