{"id":"https://openalex.org/W2967394651","doi":"https://doi.org/10.1145/3321515","title":"The Implementation of the Colored Abstract Simplicial Complex and Its Application to Mesh Generation","display_name":"The Implementation of the Colored Abstract Simplicial Complex and Its Application to Mesh Generation","publication_year":2019,"publication_date":"2019-08-08","ids":{"openalex":"https://openalex.org/W2967394651","doi":"https://doi.org/10.1145/3321515","mag":"2967394651","pmid":"https://pubmed.ncbi.nlm.nih.gov/31474782"},"language":"en","primary_location":{"id":"doi:10.1145/3321515","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3321515","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3321515","source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Mathematical Software","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3321515","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Christopher T. Lee","orcid":"https://orcid.org/0000-0002-0670-2308"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Christopher T. Lee","raw_affiliation_strings":["University of California San Diego, La Jolla, CA, USA"],"affiliations":[{"raw_affiliation_string":"University of California San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"middle","author":{"id":null,"display_name":"John B. Moody","orcid":null},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John B. Moody","raw_affiliation_strings":["University of California San Diego, La Jolla, CA, USA"],"affiliations":[{"raw_affiliation_string":"University of California San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Rommie E. Amaro","orcid":"https://orcid.org/0000-0002-9275-9553"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rommie E. Amaro","raw_affiliation_strings":["University of California San Diego, La Jolla, CA, USA"],"affiliations":[{"raw_affiliation_string":"University of California San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"middle","author":{"id":null,"display_name":"J. Andrew Mccammon","orcid":"https://orcid.org/0000-0003-3065-1456"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Andrew Mccammon","raw_affiliation_strings":["University of California San Diego, La Jolla, CA, USA"],"affiliations":[{"raw_affiliation_string":"University of California San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":null,"display_name":"Michael J. Holst","orcid":null},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael J. Holst","raw_affiliation_strings":["University of California San Diego, La Jolla, CA, USA"],"affiliations":[{"raw_affiliation_string":"University of California San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I36258959"],"apc_list":null,"apc_paid":null,"fwci":0.9979,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.78770409,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"45","issue":"3","first_page":"1","last_page":"20"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.7319999933242798,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.7319999933242798,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.09520000219345093,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.023000000044703484,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/simplicial-complex","display_name":"Simplicial complex","score":0.6101999878883362},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5978999733924866},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.579800009727478},{"id":"https://openalex.org/keywords/abstract-simplicial-complex","display_name":"Abstract simplicial complex","score":0.5601999759674072},{"id":"https://openalex.org/keywords/simplicial-approximation-theorem","display_name":"Simplicial approximation theorem","score":0.5160999894142151},{"id":"https://openalex.org/keywords/data-structure","display_name":"Data structure","score":0.4553000032901764},{"id":"https://openalex.org/keywords/metadata","display_name":"Metadata","score":0.45019999146461487},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43230000138282776}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6172000169754028},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.6101999878883362},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5978999733924866},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.579800009727478},{"id":"https://openalex.org/C146867743","wikidata":"https://www.wikidata.org/wiki/Q4669959","display_name":"Abstract simplicial complex","level":3,"score":0.5601999759674072},{"id":"https://openalex.org/C64245159","wikidata":"https://www.wikidata.org/wiki/Q3983972","display_name":"Simplicial approximation theorem","level":5,"score":0.5160999894142151},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.4553000032901764},{"id":"https://openalex.org/C93518851","wikidata":"https://www.wikidata.org/wiki/Q180160","display_name":"Metadata","level":2,"score":0.45019999146461487},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43230000138282776},{"id":"https://openalex.org/C2778307483","wikidata":"https://www.wikidata.org/wiki/Q5149038","display_name":"Colored","level":2,"score":0.42730000615119934},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.4162999987602234},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3865000009536743},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.37929999828338623},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.37540000677108765},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37279999256134033},{"id":"https://openalex.org/C173642442","wikidata":"https://www.wikidata.org/wiki/Q1253346","display_name":"Decimation","level":3,"score":0.3416999876499176},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2888000011444092},{"id":"https://openalex.org/C3469331","wikidata":"https://www.wikidata.org/wiki/Q7520902","display_name":"Simplicial homology","level":3,"score":0.28439998626708984},{"id":"https://openalex.org/C2776477805","wikidata":"https://www.wikidata.org/wiki/Q4460773","display_name":"Topological data analysis","level":2,"score":0.27720001339912415},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27390000224113464},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.2615000009536743}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1145/3321515","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3321515","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3321515","source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Mathematical Software","raw_type":"journal-article"},{"id":"pmid:31474782","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/31474782","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM transactions on mathematical software. Association for Computing Machinery","raw_type":null},{"id":"pmh:oai:arXiv.org:1807.01417","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1807.01417","pdf_url":"https://arxiv.org/pdf/1807.01417","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:escholarship.org:ark:/13030/qt4jk9v731","is_oa":false,"landing_page_url":"https://escholarship.org/uc/item/4jk9v731","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM Transactions on Mathematical Software, vol 45, iss 3","raw_type":"article"},{"id":"pmh:oai:pubmedcentral.nih.gov:6716611","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/6716611","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM Trans Math Softw","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1145/3321515","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3321515","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3321515","source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Mathematical Software","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2313822077","display_name":null,"funder_award_id":"GM008326","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G278709306","display_name":null,"funder_award_id":"1620366","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G3084217198","display_name":null,"funder_award_id":"GM31749","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G343286159","display_name":null,"funder_award_id":"T32-GM008326","funder_id":"https://openalex.org/F4320337354","funder_display_name":"National Institute of General Medical Sciences"},{"id":"https://openalex.org/G3899401505","display_name":null,"funder_award_id":"31749","funder_id":"https://openalex.org/F4320337354","funder_display_name":"National Institute of General Medical Sciences"},{"id":"https://openalex.org/G4359693134","display_name":null,"funder_award_id":"NIGMS","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G4383001364","display_name":null,"funder_award_id":"DMS-FRG1262982","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G4486666216","display_name":null,"funder_award_id":"P41-GM103426","funder_id":"https://openalex.org/F4320337354","funder_display_name":"National Institute of General Medical Sciences"},{"id":"https://openalex.org/G4725541805","display_name":null,"funder_award_id":"GM31749","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G473593538","display_name":null,"funder_award_id":"Molecular","funder_id":"https://openalex.org/F4320337354","funder_display_name":"National Institute of General Medical Sciences"},{"id":"https://openalex.org/G5782200169","display_name":null,"funder_award_id":"GM31749","funder_id":"https://openalex.org/F4320337354","funder_display_name":"National Institute of General Medical Sciences"},{"id":"https://openalex.org/G5921281487","display_name":null,"funder_award_id":"number","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6068406125","display_name":null,"funder_award_id":"1262982","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6642829624","display_name":null,"funder_award_id":"GM008326","funder_id":"https://openalex.org/F4320337354","funder_display_name":"National Institute of General Medical Sciences"},{"id":"https://openalex.org/G687803367","display_name":null,"funder_award_id":"GM103426","funder_id":"https://openalex.org/F4320337354","funder_display_name":"National Institute of General Medical Sciences"},{"id":"https://openalex.org/G7199578972","display_name":null,"funder_award_id":"GM103426","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G7312852596","display_name":null,"funder_award_id":"T32-GM008326","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G7908228807","display_name":null,"funder_award_id":"Molecular","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7982897390","display_name":null,"funder_award_id":"P41-GM103426","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G8251669355","display_name":null,"funder_award_id":"1620366","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320337354","display_name":"National Institute of General Medical Sciences","ror":"https://ror.org/04q48ey07"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2967394651.pdf","grobid_xml":"https://content.openalex.org/works/W2967394651.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W115801328","https://openalex.org/W1939042485","https://openalex.org/W1969742554","https://openalex.org/W1971008678","https://openalex.org/W1978265415","https://openalex.org/W1986604141","https://openalex.org/W2001875460","https://openalex.org/W2021866133","https://openalex.org/W2029339103","https://openalex.org/W2047979043","https://openalex.org/W2071569218","https://openalex.org/W2092452774","https://openalex.org/W2104542594","https://openalex.org/W2109991971","https://openalex.org/W2171737318","https://openalex.org/W2489810415","https://openalex.org/W2963263954","https://openalex.org/W3103629626","https://openalex.org/W6811910204"],"related_works":[],"abstract_inverted_index":{"We":[0,73,103],"introduce":[1],"CASC:":[2],"a":[3,12,89],"new,":[4],"modern,":[5],"and":[6,51,77,84],"header-only":[7],"C++":[8,41],"library":[9,111],"which":[10,94],"provides":[11],"data":[13,82],"structure":[14,83],"to":[15,112],"represent":[16,113],"arbitrary":[17],"dimension":[18],"abstract":[19],"simplicial":[20],"complexes":[21],"(ASC)":[22],"with":[23],"user-defined":[24],"classes":[25],"stored":[26],"directly":[27],"on":[28],"the":[29,39,62,65,68,75,81],"simplices":[30,99],"at":[31],"each":[32],"dimension.":[33,102],"This":[34,87],"is":[35,95],"accomplished":[36],"by":[37],"using":[38],"latest":[40],"language":[42],"features":[43],"including":[44],"variadic":[45],"template":[46],"parameters":[47],"introduced":[48],"in":[49],"C++11":[50],"automatic":[52],"function":[53],"return":[54],"type":[55],"deduction":[56],"from":[57,67],"C++14.":[58],"Effectively":[59],"CASC":[60],"decouples":[61],"representation":[63],"of":[64,70,80,100,109],"topology":[66],"interactions":[69],"user":[71],"data.":[72],"present":[74,105],"innovations":[76],"design":[78],"principles":[79],"related":[85],"algorithms.":[86],"includes":[88],"metadata":[90],"aware":[91],"decimation":[92],"algorithm":[93],"general":[96],"for":[97],"collapsing":[98],"any":[101],"also":[104],"an":[106,114],"example":[107],"application":[108],"this":[110],"orientable":[115],"surface":[116],"mesh.":[117]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2019-08-22T00:00:00"}
