{"id":"https://openalex.org/W1707641534","doi":"https://doi.org/10.2312/spbg/spbg07/019-028","title":"Low-Discrepancy Point Sampling of Meshes for Rendering","display_name":"Low-Discrepancy Point Sampling of Meshes for Rendering","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W1707641534","doi":"https://doi.org/10.2312/spbg/spbg07/019-028","mag":"1707641534"},"language":"en","primary_location":{"id":"pmh:oai:https://orca.cardiff.ac.uk:5214","is_oa":true,"landing_page_url":"https://orca.cardiff.ac.uk/view/cardiffauthors/A065195M.html>","pdf_url":"http://diglib.eg.org/handle/10.2312/SPBG.SPBG07.019-028","source":{"id":"https://openalex.org/S7407055383","display_name":"ORCA Online Research @Cardiff","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":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://diglib.eg.org/handle/10.2312/SPBG.SPBG07.019-028","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021675334","display_name":"Jonathan Quinn","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Quinn, Jonathan A.","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071981008","display_name":"Frank C. Langbein","orcid":"https://orcid.org/0000-0002-3379-0323"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Langbein, Frank C.","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5011264729","display_name":"Ralph R. Martin","orcid":"https://orcid.org/0000-0002-8495-8536"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Martin, Ralph R.","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5021675334"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"19","last_page":"28"},"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9997000098228455,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9972000122070312,"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/polygon-mesh","display_name":"Polygon mesh","score":0.8552680015563965},{"id":"https://openalex.org/keywords/rendering","display_name":"Rendering (computer graphics)","score":0.7079083919525146},{"id":"https://openalex.org/keywords/geometry-processing","display_name":"Geometry processing","score":0.6564300656318665},{"id":"https://openalex.org/keywords/t-vertices","display_name":"T-vertices","score":0.6299782395362854},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5820180773735046},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.5411256551742554},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5066283345222473},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.49814534187316895},{"id":"https://openalex.org/keywords/laplacian-smoothing","display_name":"Laplacian smoothing","score":0.46204516291618347},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.43091824650764465},{"id":"https://openalex.org/keywords/hilbert-curve","display_name":"Hilbert curve","score":0.4294443428516388},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42878037691116333},{"id":"https://openalex.org/keywords/mesh-generation","display_name":"Mesh generation","score":0.36735671758651733},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32244786620140076},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.2994762063026428},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.20940163731575012},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11479702591896057},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.08080834150314331}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.8552680015563965},{"id":"https://openalex.org/C205711294","wikidata":"https://www.wikidata.org/wiki/Q176953","display_name":"Rendering (computer graphics)","level":2,"score":0.7079083919525146},{"id":"https://openalex.org/C2779521785","wikidata":"https://www.wikidata.org/wiki/Q5535529","display_name":"Geometry processing","level":3,"score":0.6564300656318665},{"id":"https://openalex.org/C160403270","wikidata":"https://www.wikidata.org/wiki/Q7667943","display_name":"T-vertices","level":4,"score":0.6299782395362854},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5820180773735046},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5411256551742554},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5066283345222473},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.49814534187316895},{"id":"https://openalex.org/C100695618","wikidata":"https://www.wikidata.org/wiki/Q6488267","display_name":"Laplacian smoothing","level":4,"score":0.46204516291618347},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.43091824650764465},{"id":"https://openalex.org/C2781142347","wikidata":"https://www.wikidata.org/wiki/Q1366592","display_name":"Hilbert curve","level":2,"score":0.4294443428516388},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42878037691116333},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.36735671758651733},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32244786620140076},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.2994762063026428},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.20940163731575012},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11479702591896057},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.08080834150314331},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:https://orca.cardiff.ac.uk:5214","is_oa":true,"landing_page_url":"https://orca.cardiff.ac.uk/view/cardiffauthors/A065195M.html>","pdf_url":"http://diglib.eg.org/handle/10.2312/SPBG.SPBG07.019-028","source":{"id":"https://openalex.org/S7407055383","display_name":"ORCA Online Research @Cardiff","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":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"doi:10.2312/spbg/spbg07/019-028","is_oa":true,"landing_page_url":"https://doi.org/10.2312/spbg/spbg07/019-028","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:1707641534","is_oa":false,"landing_page_url":"http://orca.cf.ac.uk/id/eprint/5214","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Eurographics","raw_type":null}],"best_oa_location":{"id":"pmh:oai:https://orca.cardiff.ac.uk:5214","is_oa":true,"landing_page_url":"https://orca.cardiff.ac.uk/view/cardiffauthors/A065195M.html>","pdf_url":"http://diglib.eg.org/handle/10.2312/SPBG.SPBG07.019-028","source":{"id":"https://openalex.org/S7407055383","display_name":"ORCA Online Research @Cardiff","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":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1707641534.pdf"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W61409453","https://openalex.org/W120859022","https://openalex.org/W124358678","https://openalex.org/W1496530959","https://openalex.org/W1583953270","https://openalex.org/W1599814229","https://openalex.org/W1626653188","https://openalex.org/W1633157623","https://openalex.org/W1887758993","https://openalex.org/W1992389079","https://openalex.org/W2000261957","https://openalex.org/W2006502673","https://openalex.org/W2010306732","https://openalex.org/W2026043300","https://openalex.org/W2071224029","https://openalex.org/W2097370639","https://openalex.org/W2101999582","https://openalex.org/W2111501452","https://openalex.org/W2113756180","https://openalex.org/W2114254569","https://openalex.org/W2117427558","https://openalex.org/W2125345056","https://openalex.org/W2129412583","https://openalex.org/W2130916145","https://openalex.org/W2134756023","https://openalex.org/W2148892491","https://openalex.org/W2153935912","https://openalex.org/W2154735537","https://openalex.org/W2157111759","https://openalex.org/W2296494357","https://openalex.org/W2609849267","https://openalex.org/W2912424718"],"related_works":["https://openalex.org/W2783784452","https://openalex.org/W3141021723","https://openalex.org/W2110821323","https://openalex.org/W2001262333","https://openalex.org/W2105135726","https://openalex.org/W1546223659","https://openalex.org/W2135598686","https://openalex.org/W2366463044","https://openalex.org/W2129051719","https://openalex.org/W2933697775","https://openalex.org/W2575265597","https://openalex.org/W2006235062","https://openalex.org/W2378785356","https://openalex.org/W2034983309","https://openalex.org/W2169586996","https://openalex.org/W2868189445","https://openalex.org/W174651374","https://openalex.org/W2365907578","https://openalex.org/W2008195136","https://openalex.org/W2925869844"],"abstract_inverted_index":{"A":[0],"novel":[1],"point":[2],"sampling":[3,12,23,114,123],"framework":[4],"for":[5,100],"polygonal":[6],"meshes":[7,139],"is":[8,54,63,68,79],"presented,":[9],"based":[10],"on":[11],"a":[13,17,29,57,61,71,104,111,119],"mesh":[14,67],"according":[15],"to":[16,38,43,81,109,156],"density-controlled":[18,112],"low-discrepancy":[19,113],"distribution.":[20],"The":[21,65,144],"local":[22,40,107],"density":[24,30,124],"can":[25,125,135],"be":[26,126],"controlled":[27],"by":[28,34,153],"func-":[31],"tional":[32],"defined":[33],"the":[35,51,75,87,93,116,122,149],"user,":[36],"e.g.":[37],"preserve":[39],"features,":[41],"or":[42],"achieve":[44],"desired":[45],"data":[46],"reduction":[47],"rates.":[48],"To":[49],"sample":[50,90],"mesh,":[52],"it":[53,155],"cut":[55],"into":[56],"disc":[58],"topology,":[59],"and":[60,84,103,146,164],"parametrisation":[62],"generated.":[64],"parameterised":[66],"sampled":[69],"using":[70],"Hilbert":[72,94],"curve":[73,95],"in":[74,128],"parameter":[76],"domain,":[77],"which":[78],"adapted":[80],"parametric":[82,101],"distortions":[83],"mapped":[85],"onto":[86],"mesh.":[88,117],"1D":[89],"points":[91],"along":[92],"are":[96,151],"then":[97],"generated,":[98],"correcting":[99],"distortion":[102],"user-":[105],"specified":[106],"density,":[108],"give":[110],"of":[115,148,161],"After":[118],"pre-processing":[120],"step,":[121],"adjusted":[127],"real-time.":[129],"Experiments":[130],"show":[131],"that":[132],"this":[133],"approach":[134,150],"quickly":[136],"resample":[137],"existing":[138],"with":[140],"low":[141],"discrepancy":[142],"samples.":[143],"effectiveness":[145],"speed":[147],"demonstrated":[152],"applying":[154],"viewpoint":[157],"dependent":[158],"rendering,":[159],"level":[160],"detail":[162],"representation,":[163],"interactive":[165],"remeshing.":[166]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}