{"id":"https://openalex.org/W585155753","doi":"https://doi.org/10.2312/pe/vmv/vmv12/127-134","title":"Implicit Integral Surfaces","display_name":"Implicit Integral Surfaces","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W585155753","doi":"https://doi.org/10.2312/pe/vmv/vmv12/127-134","mag":"585155753"},"language":"en","primary_location":{"id":"pmh:oai:pure.mpg.de:item_1858650","is_oa":false,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-0015-0E9C-E","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"VMV 2012 Vision, Modeling & Visualization","raw_type":"info:eu-repo/semantics/conferenceObject"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.2312/pe/vmv/vmv12/127-134","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009268350","display_name":"Torsten St\u00f6ter","orcid":null},"institutions":[{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]},{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"funder","lineage":["https://openalex.org/I149899117"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"St\u00f6ter, Torsten","raw_affiliation_strings":["Computer Graphics, MPI for Informatics, Max Planck Society"],"affiliations":[{"raw_affiliation_string":"Computer Graphics, MPI for Informatics, Max Planck Society","institution_ids":["https://openalex.org/I4210109712","https://openalex.org/I149899117"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082234726","display_name":"Tino Weinkauf","orcid":"https://orcid.org/0000-0002-1498-9062"},"institutions":[{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]},{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"funder","lineage":["https://openalex.org/I149899117"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Weinkauf, Tino","raw_affiliation_strings":["Computer Graphics, MPI for Informatics, Max Planck Society"],"affiliations":[{"raw_affiliation_string":"Computer Graphics, MPI for Informatics, Max Planck Society","institution_ids":["https://openalex.org/I4210109712","https://openalex.org/I149899117"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105697746","display_name":"Hans\u2010Peter Seidel","orcid":null},"institutions":[{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"funder","lineage":["https://openalex.org/I149899117"]},{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Seidel, Hans-Peter","raw_affiliation_strings":["Computer Graphics, MPI for Informatics, Max Planck Society"],"affiliations":[{"raw_affiliation_string":"Computer Graphics, MPI for Informatics, Max Planck Society","institution_ids":["https://openalex.org/I4210109712","https://openalex.org/I149899117"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039626800","display_name":"Holger Theisel","orcid":"https://orcid.org/0000-0002-8009-7070"},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke University Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Theisel, Holger","raw_affiliation_strings":["Otto-von-Guericke University Magdeburg, Magdeburg, Germany"],"affiliations":[{"raw_affiliation_string":"Otto-von-Guericke University Magdeburg, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5009268350"],"corresponding_institution_ids":["https://openalex.org/I149899117","https://openalex.org/I4210109712"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"127","last_page":"134"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9973000288009644,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9945999979972839,"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/isosurface","display_name":"Isosurface","score":0.8575104475021362},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5210139751434326},{"id":"https://openalex.org/keywords/marching-cubes","display_name":"Marching cubes","score":0.48577335476875305},{"id":"https://openalex.org/keywords/rendering","display_name":"Rendering (computer graphics)","score":0.4789341390132904},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.4771965444087982},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.476574182510376},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.4586145877838135},{"id":"https://openalex.org/keywords/medial-axis","display_name":"Medial axis","score":0.4425325095653534},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4254497289657593},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42085176706314087},{"id":"https://openalex.org/keywords/volume-rendering","display_name":"Volume rendering","score":0.4169204533100128},{"id":"https://openalex.org/keywords/line-integral","display_name":"Line integral","score":0.4157540798187256},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3568175733089447},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31832870841026306},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.24501779675483704},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.22877731919288635},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.13225144147872925},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1297147274017334}],"concepts":[{"id":"https://openalex.org/C45107383","wikidata":"https://www.wikidata.org/wiki/Q1311829","display_name":"Isosurface","level":3,"score":0.8575104475021362},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5210139751434326},{"id":"https://openalex.org/C42087268","wikidata":"https://www.wikidata.org/wiki/Q1886184","display_name":"Marching cubes","level":3,"score":0.48577335476875305},{"id":"https://openalex.org/C205711294","wikidata":"https://www.wikidata.org/wiki/Q176953","display_name":"Rendering (computer graphics)","level":2,"score":0.4789341390132904},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4771965444087982},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.476574182510376},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.4586145877838135},{"id":"https://openalex.org/C185877587","wikidata":"https://www.wikidata.org/wiki/Q1757407","display_name":"Medial axis","level":2,"score":0.4425325095653534},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4254497289657593},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42085176706314087},{"id":"https://openalex.org/C30769735","wikidata":"https://www.wikidata.org/wiki/Q2165951","display_name":"Volume rendering","level":3,"score":0.4169204533100128},{"id":"https://openalex.org/C75023562","wikidata":"https://www.wikidata.org/wiki/Q467699","display_name":"Line integral","level":3,"score":0.4157540798187256},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3568175733089447},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31832870841026306},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.24501779675483704},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.22877731919288635},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.13225144147872925},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1297147274017334}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:pure.mpg.de:item_1858650","is_oa":false,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-0015-0E9C-E","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"VMV 2012 Vision, Modeling & Visualization","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"doi:10.2312/pe/vmv/vmv12/127-134","is_oa":true,"landing_page_url":"https://doi.org/10.2312/pe/vmv/vmv12/127-134","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"mag:585155753","is_oa":false,"landing_page_url":"https://vc.cs.ovgu.de/files/publications/2012/Stoeter_2012_VMV.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306421152","display_name":"Vision Modeling and Visualization","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Vision Modeling and Visualization","raw_type":null}],"best_oa_location":{"id":"doi:10.2312/pe/vmv/vmv12/127-134","is_oa":true,"landing_page_url":"https://doi.org/10.2312/pe/vmv/vmv12/127-134","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1541722264","https://openalex.org/W1568514806","https://openalex.org/W1798731418","https://openalex.org/W1979762097","https://openalex.org/W1981569824","https://openalex.org/W1982473353","https://openalex.org/W2004489248","https://openalex.org/W2057832664","https://openalex.org/W2112269749","https://openalex.org/W2114689182","https://openalex.org/W2123415944","https://openalex.org/W2125944019","https://openalex.org/W2127798199","https://openalex.org/W2129129667","https://openalex.org/W2130134933","https://openalex.org/W2135100707","https://openalex.org/W2137259724","https://openalex.org/W2140208105","https://openalex.org/W2152481940","https://openalex.org/W2171163714","https://openalex.org/W2229412420","https://openalex.org/W2278248103"],"related_works":["https://openalex.org/W162233634","https://openalex.org/W2126732504","https://openalex.org/W2082459477","https://openalex.org/W2201031196","https://openalex.org/W2046968937","https://openalex.org/W1967957162","https://openalex.org/W2907655789","https://openalex.org/W2556961602","https://openalex.org/W2053825465","https://openalex.org/W3031957932","https://openalex.org/W2126376801","https://openalex.org/W2066822689","https://openalex.org/W2140408049","https://openalex.org/W1538266553","https://openalex.org/W2094755539","https://openalex.org/W2508896153","https://openalex.org/W2116810721","https://openalex.org/W2061595863","https://openalex.org/W2534089809","https://openalex.org/W2150625481"],"abstract_inverted_index":{"We":[0,126],"present":[1,150],"an":[2,63,165],"implicit":[3,41,134,161,175],"method":[4,98,157,179],"for":[5,174,181],"globally":[6,108],"computing":[7],"all":[8,186],"four":[9],"classic":[10],"types":[11],"of":[12,36,43,55,72,89,136,188],"integral":[13,82,106,138],"surfaces":[14,21,83,107],"-":[15,22],"stream,":[16],"path,":[17],"streak,":[18],"and":[19,142,192],"time":[20,38,57],"in":[23,65,109],"3D":[24,45,146],"time-dependent":[25],"vector":[26],"fields.":[27],"Our":[28,97],"novel":[29],"formulation":[30],"is":[31,59],"based":[32],"on":[33,77],"the":[34,50,79,87,110,117,133,160,189,197,201],"representation":[35,163],"a":[37,44,56,70,100,145,151],"surface":[39,58,155,162],"as":[40,62,86],"isosurface":[42],"scalar":[46,74,95],"function":[47],"advected":[48,73],"by":[49,69,121],"flow":[51,102,190],"field.":[52],"The":[53],"evolution":[54],"then":[60],"given":[61],"isovolume":[64],"4D":[66,140],"space-time":[67],"spanned":[68],"series":[71],"functions.":[75,96],"Based":[76],"this,":[78],"other":[80],"three":[81],"are":[84],"described":[85],"intersection":[88],"two":[90,128],"isovolumes":[91],"derived":[92],"from":[93],"different":[94],"uses":[99],"dense":[101],"integration":[103],"to":[104,115,158,164,171],"compute":[105],"entire":[111,202],"domain.":[112,203],"This":[113],"allows":[114,180],"change":[116],"seeding":[118,198],"structure":[119],"efficiently":[120],"simply":[122],"defining":[123],"new":[124],"isovalues.":[125],"propose":[127],"rendering":[129],"methods":[130],"that":[131],"exploit":[132],"nature":[135],"our":[137,178],"surfaces:":[139],"raycasting,":[141],"projection":[143],"into":[144],"volume.":[147],"Furthermore,":[148],"we":[149],"marching":[152],"cubes":[153],"inspired":[154],"extraction":[156],"convert":[159],"explicit":[166],"triangle":[167],"mesh.":[168],"In":[169],"contrast":[170],"previous":[172],"approaches":[173],"stream":[176],"surfaces,":[177],"multiple":[182],"voxel":[183],"intersections,":[184],"covers":[185],"regions":[187],"field,":[191],"provides":[193],"full":[194],"control":[195],"over":[196],"line":[199],"within":[200]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}