{"id":"https://openalex.org/W2011487317","doi":"https://doi.org/10.1109/visual.2004.13","title":"Centroidal Voronoi tessellation based algorithms for vector fields visualization and segmentation","display_name":"Centroidal Voronoi tessellation based algorithms for vector fields visualization and segmentation","publication_year":2005,"publication_date":"2005-03-21","ids":{"openalex":"https://openalex.org/W2011487317","doi":"https://doi.org/10.1109/visual.2004.13","mag":"2011487317"},"language":"en","primary_location":{"id":"doi:10.1109/visual.2004.13","is_oa":false,"landing_page_url":"https://doi.org/10.1109/visual.2004.13","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Visualization 2004","raw_type":"proceedings-article"},"type":"conference-paper","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/A5056115552","display_name":"Qiang Du","orcid":"https://orcid.org/0000-0002-1067-8937"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Qiang Du","raw_affiliation_strings":["Department of Mathematics, Pennsylvania State University, PA, USA","Dept. of Math., Pennsylvania State Univ., Univ. Park, PA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Pennsylvania State University, PA, USA","institution_ids":["https://openalex.org/I130769515"]},{"raw_affiliation_string":"Dept. of Math., Pennsylvania State Univ., Univ. Park, PA, USA","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060588353","display_name":"X. Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiaoquiang Wang","raw_affiliation_strings":["Department of Mathematics, Pennsylvania State University, PA, USA","Dept. of Math., Pennsylvania State Univ., Univ. Park, PA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Pennsylvania State University, PA, USA","institution_ids":["https://openalex.org/I130769515"]},{"raw_affiliation_string":"Dept. of Math., Pennsylvania State Univ., Univ. Park, PA, USA","institution_ids":["https://openalex.org/I130769515"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I130769515"],"apc_list":null,"apc_paid":null,"fwci":2.5648,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.91131482,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"43","last_page":"50"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9980000257492065,"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"}},"topics":[{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9980000257492065,"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"}},{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9973999857902527,"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":0.9954000115394592,"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/voronoi-diagram","display_name":"Voronoi diagram","score":0.956663966178894},{"id":"https://openalex.org/keywords/centroidal-voronoi-tessellation","display_name":"Centroidal Voronoi tessellation","score":0.941543459892273},{"id":"https://openalex.org/keywords/tessellation","display_name":"Tessellation (computer graphics)","score":0.7847412824630737},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.703144907951355},{"id":"https://openalex.org/keywords/euclidean-vector","display_name":"Euclidean vector","score":0.6443452835083008},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5509235262870789},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49267250299453735},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48400160670280457},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4792087972164154},{"id":"https://openalex.org/keywords/data-visualization","display_name":"Data visualization","score":0.44065141677856445},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.43890121579170227},{"id":"https://openalex.org/keywords/vector-space","display_name":"Vector space","score":0.4203597903251648},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.4177687466144562},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3915833830833435},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2577831745147705},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2099190056324005},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.20202267169952393},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.191936194896698},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.09453573822975159}],"concepts":[{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.956663966178894},{"id":"https://openalex.org/C205672865","wikidata":"https://www.wikidata.org/wiki/Q5062961","display_name":"Centroidal Voronoi tessellation","level":3,"score":0.941543459892273},{"id":"https://openalex.org/C43817857","wikidata":"https://www.wikidata.org/wiki/Q9357547","display_name":"Tessellation (computer graphics)","level":2,"score":0.7847412824630737},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.703144907951355},{"id":"https://openalex.org/C118965365","wikidata":"https://www.wikidata.org/wiki/Q44528","display_name":"Euclidean vector","level":2,"score":0.6443452835083008},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5509235262870789},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49267250299453735},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48400160670280457},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4792087972164154},{"id":"https://openalex.org/C172367668","wikidata":"https://www.wikidata.org/wiki/Q6504956","display_name":"Data visualization","level":3,"score":0.44065141677856445},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.43890121579170227},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.4203597903251648},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.4177687466144562},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3915833830833435},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2577831745147705},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2099190056324005},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.20202267169952393},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.191936194896698},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.09453573822975159},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/visual.2004.13","is_oa":false,"landing_page_url":"https://doi.org/10.1109/visual.2004.13","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Visualization 2004","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W78899199","https://openalex.org/W119385333","https://openalex.org/W1586712732","https://openalex.org/W1967471690","https://openalex.org/W1977556410","https://openalex.org/W1980719624","https://openalex.org/W2028345935","https://openalex.org/W2048835264","https://openalex.org/W2051752778","https://openalex.org/W2056205248","https://openalex.org/W2073470731","https://openalex.org/W2100506742","https://openalex.org/W2131810611","https://openalex.org/W2135397228","https://openalex.org/W2161160262","https://openalex.org/W2162203349","https://openalex.org/W2167920707","https://openalex.org/W2172006071","https://openalex.org/W2329778541","https://openalex.org/W2341072928","https://openalex.org/W4212888252","https://openalex.org/W4243362499","https://openalex.org/W4244364004","https://openalex.org/W4253836094"],"related_works":["https://openalex.org/W1978501764","https://openalex.org/W2371724110","https://openalex.org/W1997141012","https://openalex.org/W2005041861","https://openalex.org/W2053576657","https://openalex.org/W4206423751","https://openalex.org/W1516845492","https://openalex.org/W2059217232","https://openalex.org/W4390436779","https://openalex.org/W2013420653"],"abstract_inverted_index":{"A":[0,23,55],"new":[1],"method":[2,94],"for":[3,30],"the":[4,7,16,32,35,39,43,60,69,72,100,106,125,130],"simplification":[5,133],"and":[6,62,87,116,127,134],"visualization":[8,135],"of":[9,18,34,45,71,105,129],"vector":[10,63,75,82,132],"fields":[11,83],"is":[12,25,65,109],"presented":[13],"based":[14],"on":[15,78],"notion":[17],"centroidal":[19],"Voronoi":[20,28,36],"tessellations":[21],"(CVT's).":[22],"CVT":[24],"a":[26,52,80],"special":[27],"tessellation":[29,40],"which":[31],"generators":[33],"regions":[37],"in":[38,58],"are":[41,84,91,120],"also":[42,121],"centers":[44],"mass":[46],"(or":[47],"means)":[48],"with":[49,99],"respect":[50],"to":[51,67,111,114,123],"prescribed":[53],"density.":[54],"distance":[56],"function":[57],"both":[59],"spatial":[61],"spaces":[64],"introduced":[66],"measure":[68],"similarity":[70],"spatially":[73],"distributed":[74],"fields.":[76],"Based":[77],"such":[79],"distance,":[81],"naturally":[85],"clustered":[86],"their":[88],"simplified":[89],"representations":[90],"obtained.":[92],"Our":[93],"combines":[95],"simple":[96,110],"geometric":[97],"intuitions":[98],"rigorously":[101],"established":[102],"optimality":[103],"properties":[104],"CVTs.":[107],"It":[108],"describe,":[112],"easy":[113],"understand":[115],"implement.":[117],"Numerical":[118],"examples":[119],"provided":[122],"illustrate":[124],"effectiveness":[126],"competitiveness":[128],"CVT-based":[131],"methodology.":[136]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
