{"id":"https://openalex.org/W1575873910","doi":"https://doi.org/10.1142/s0218195905001580","title":"COMPACT REPRESENTATIONS OF SIMPLICIAL MESHES IN TWO AND THREE DIMENSIONS","display_name":"COMPACT REPRESENTATIONS OF SIMPLICIAL MESHES IN TWO AND THREE DIMENSIONS","publication_year":2005,"publication_date":"2005-02-01","ids":{"openalex":"https://openalex.org/W1575873910","doi":"https://doi.org/10.1142/s0218195905001580","mag":"1575873910"},"language":"en","primary_location":{"id":"doi:10.1142/s0218195905001580","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195905001580","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Geometry &amp; Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://figshare.com/articles/journal_contribution/Compact_Representations_of_Simplicial_Meshes_in_Two_and_Three_Dimensions/6604226","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091041322","display_name":"Daniel K. Blandford","orcid":null},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"DANIEL K. BLANDFORD","raw_affiliation_strings":["Computer Science Department, Carnegie Mellon University, Pittsburgh, PA 15213, USA","Computer Science Department, Carnegie Mellon University,#N#Pittsburgh, PA 15213, USA"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Carnegie Mellon University, Pittsburgh, PA 15213, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Computer Science Department, Carnegie Mellon University,#N#Pittsburgh, PA 15213, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033930662","display_name":"Guy E. Blelloch","orcid":"https://orcid.org/0000-0003-0224-9187"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"GUY E. BLELLOCH","raw_affiliation_strings":["Computer Science Department, Carnegie Mellon University, Pittsburgh, PA 15213, USA","Computer Science Department, Carnegie Mellon University,#N#Pittsburgh, PA 15213, USA"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Carnegie Mellon University, Pittsburgh, PA 15213, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Computer Science Department, Carnegie Mellon University,#N#Pittsburgh, PA 15213, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073584072","display_name":"David E. Cardoze","orcid":null},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"DAVID E. CARDOZE","raw_affiliation_strings":["Computer Science Department, Carnegie Mellon University, Pittsburgh, PA 15213, USA","Computer Science Department, Carnegie Mellon University,#N#Pittsburgh, PA 15213, USA"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Carnegie Mellon University, Pittsburgh, PA 15213, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Computer Science Department, Carnegie Mellon University,#N#Pittsburgh, PA 15213, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008506339","display_name":"Clemens Kadow","orcid":null},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"CLEMENS KADOW","raw_affiliation_strings":["Computer Science Department, Carnegie Mellon University, Pittsburgh, PA 15213, USA","Computer Science Department, Carnegie Mellon University,#N#Pittsburgh, PA 15213, USA"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Carnegie Mellon University, Pittsburgh, PA 15213, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Computer Science Department, Carnegie Mellon University,#N#Pittsburgh, PA 15213, USA","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5091041322"],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":null,"apc_paid":null,"fwci":4.681,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.9426484,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"15","issue":"01","first_page":"3","last_page":"24"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9995999932289124,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9995999932289124,"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/T11106","display_name":"Data Management and Algorithms","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T12292","display_name":"Graph Theory and Algorithms","score":0.9921000003814697,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.8039645552635193},{"id":"https://openalex.org/keywords/data-structure","display_name":"Data structure","score":0.7528959512710571},{"id":"https://openalex.org/keywords/tree-traversal","display_name":"Tree traversal","score":0.7424311637878418},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6006137132644653},{"id":"https://openalex.org/keywords/tetrahedron","display_name":"Tetrahedron","score":0.5941228866577148},{"id":"https://openalex.org/keywords/byte","display_name":"Byte","score":0.579899787902832},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.5671391487121582},{"id":"https://openalex.org/keywords/space-partitioning","display_name":"Space partitioning","score":0.5507763028144836},{"id":"https://openalex.org/keywords/delaunay-triangulation","display_name":"Delaunay triangulation","score":0.5276210308074951},{"id":"https://openalex.org/keywords/pyramid","display_name":"Pyramid (geometry)","score":0.4666450321674347},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44105270504951477},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.39054349064826965},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3699873089790344},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2541870176792145},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.1971961259841919},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15063947439193726}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.8039645552635193},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.7528959512710571},{"id":"https://openalex.org/C140745168","wikidata":"https://www.wikidata.org/wiki/Q1210082","display_name":"Tree traversal","level":2,"score":0.7424311637878418},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6006137132644653},{"id":"https://openalex.org/C105239961","wikidata":"https://www.wikidata.org/wiki/Q160003","display_name":"Tetrahedron","level":2,"score":0.5941228866577148},{"id":"https://openalex.org/C43364308","wikidata":"https://www.wikidata.org/wiki/Q8799","display_name":"Byte","level":2,"score":0.579899787902832},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.5671391487121582},{"id":"https://openalex.org/C13670688","wikidata":"https://www.wikidata.org/wiki/Q3500548","display_name":"Space partitioning","level":2,"score":0.5507763028144836},{"id":"https://openalex.org/C68010082","wikidata":"https://www.wikidata.org/wiki/Q192445","display_name":"Delaunay triangulation","level":2,"score":0.5276210308074951},{"id":"https://openalex.org/C142575187","wikidata":"https://www.wikidata.org/wiki/Q3358290","display_name":"Pyramid (geometry)","level":2,"score":0.4666450321674347},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44105270504951477},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39054349064826965},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3699873089790344},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2541870176792145},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.1971961259841919},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15063947439193726},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":9,"locations":[{"id":"doi:10.1142/s0218195905001580","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195905001580","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Geometry &amp; Applications","raw_type":"journal-article"},{"id":"pmh:oai:repository.cmu.edu:compsci-1111","is_oa":false,"landing_page_url":"http://repository.cmu.edu/compsci/114","pdf_url":null,"source":{"id":"https://openalex.org/S4306400668","display_name":"Research Showcase @ Carnegie Mellon University (Carnegie Mellon University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I74973139","host_organization_name":"Carnegie Mellon University","host_organization_lineage":["https://openalex.org/I74973139"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computer Science Department","raw_type":"text"},{"id":"pmh:doi:10.1184/r1/6604226","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":"Journal contribution"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.84.9809","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.84.9809","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.berkeley.edu/~jrs/meshpapers/BBCKJ.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.9.6823","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.9.6823","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-2.cs.cmu.edu/afs/cs.cmu.edu/user/guyb/www/papers/BBCK03.ps","raw_type":"text"},{"id":"pmh:oai:figshare.com:article/6604226","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Compact_Representations_of_Simplicial_Meshes_in_Two_and_Three_Dimensions/6604226","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"doi:10.1184/r1/6604226","is_oa":true,"landing_page_url":"https://doi.org/10.1184/r1/6604226","pdf_url":null,"source":{"id":"https://openalex.org/S7407050927","display_name":"KiltHub Repository","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-journal"},{"id":"doi:10.1184/r1/6604226.v1","is_oa":true,"landing_page_url":"https://doi.org/10.1184/r1/6604226.v1","pdf_url":null,"source":{"id":"https://openalex.org/S7407050927","display_name":"KiltHub Repository","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-journal"},{"id":"mag:1575873910","is_oa":false,"landing_page_url":"http://imr.sandia.gov/papers/abstracts/Bl278.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306513071","display_name":"IMR","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"IMR","raw_type":null}],"best_oa_location":{"id":"pmh:oai:figshare.com:article/6604226","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Compact_Representations_of_Simplicial_Meshes_in_Two_and_Three_Dimensions/6604226","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W269812687","https://openalex.org/W1542975694","https://openalex.org/W1967337063","https://openalex.org/W1971748934","https://openalex.org/W1987569615","https://openalex.org/W2006714486","https://openalex.org/W2046053182","https://openalex.org/W2046441184","https://openalex.org/W2052165970","https://openalex.org/W2052736353","https://openalex.org/W2057512681","https://openalex.org/W2068019092","https://openalex.org/W2068353794","https://openalex.org/W2080742301","https://openalex.org/W2081280922","https://openalex.org/W2084631168","https://openalex.org/W2119352997","https://openalex.org/W2128672663","https://openalex.org/W2128777897","https://openalex.org/W2132676571","https://openalex.org/W2142636632"],"related_works":["https://openalex.org/W2164205216","https://openalex.org/W2084631168","https://openalex.org/W2025037774","https://openalex.org/W2052736353","https://openalex.org/W1994840070","https://openalex.org/W2289063764","https://openalex.org/W3206389948","https://openalex.org/W1685824674","https://openalex.org/W2062296230","https://openalex.org/W2063818723","https://openalex.org/W2463674484","https://openalex.org/W2127287175","https://openalex.org/W2082042734","https://openalex.org/W2949273805","https://openalex.org/W2094430291","https://openalex.org/W170260120","https://openalex.org/W1554681054","https://openalex.org/W2124036531","https://openalex.org/W2048044850","https://openalex.org/W3170953222"],"abstract_inverted_index":{"We":[0,76],"describe":[1],"data":[2,17,32,46,59,79,114],"structures":[3,33,60,80],"for":[4,34,88,109],"representing":[5],"simplicial":[6],"meshes":[7],"compactly":[8],"while":[9,39],"supporting":[10,41],"online":[11],"queries":[12],"and":[13,49,51,69,84,112,137],"updates":[14],"efficiently.":[15],"Our":[16,55],"structure":[18],"requires":[19],"about":[20,62],"a":[21,90,139],"factor":[22,140],"of":[23,53,57,104,121,141],"five":[24],"less":[25,143],"memory":[26,144],"than":[27],"the":[28,58,78,107,110,117,122,131],"most":[29,132],"efficient":[30,133],"standard":[31],"triangular":[35],"or":[36],"tetrahedral":[37],"meshes,":[38],"efficiently":[40],"traversal":[42],"among":[43],"simplices,":[44,48],"storing":[45],"on":[47],"insertion":[50],"deletion":[52],"simplices.":[54],"implementation":[56],"uses":[61,138],"5":[63],"bytes/triangle":[64],"in":[65,72],"two":[66],"dimensions":[67,74],"(2D)":[68],"7.5":[70],"bytes/tetrahedron":[71],"three":[73],"(3D).":[75],"use":[77],"to":[81],"implement":[82],"2D":[83],"3D":[85,94],"incremental":[86],"algorithms":[87],"generating":[89],"Delaunay":[91],"mesh.":[92],"The":[93,119],"algorithm":[95,123],"can":[96],"generate":[97],"100":[98],"Million":[99],"tetrahedra":[100],"with":[101],"1":[102],"Gbyte":[103],"memory,":[105],"including":[106],"space":[108],"coordinates":[111],"all":[113],"used":[115],"by":[116],"algorithm.":[118],"runtime":[120],"is":[124],"as":[125,127],"fast":[126],"Shewchuk's":[128],"Pyramid":[129],"code,":[130],"we":[134],"know":[135],"of,":[136],"3.5":[142],"overall.":[145]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-03-11T14:59:36.786465","created_date":"2025-10-10T00:00:00"}
