{"id":"https://openalex.org/W2498307405","doi":"https://doi.org/10.1007/978-3-319-39441-1_12","title":"Fast, Simple and Separable Computation of Betti Numbers on Three-Dimensional Cubical Complexes","display_name":"Fast, Simple and Separable Computation of Betti Numbers on Three-Dimensional Cubical Complexes","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2498307405","doi":"https://doi.org/10.1007/978-3-319-39441-1_12","mag":"2498307405"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-39441-1_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-39441-1_12","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://ruj.uj.edu.pl/xmlui/handle/item/47098","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065302085","display_name":"Aldo Gonzalez-Lorenzo","orcid":"https://orcid.org/0000-0003-3226-7650"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]},{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES","FR"],"is_corresponding":true,"raw_author_name":"Aldo Gonzalez-Lorenzo","raw_affiliation_strings":["Aix-Marseille Universit\u00e9, CNRS, LSIS UMR 7296, Marseille, France","Institute of Mathematics IMUS, University of Seville, Seville, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aix-Marseille Universit\u00e9, CNRS, LSIS UMR 7296, Marseille, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I21491767"]},{"raw_affiliation_string":"Institute of Mathematics IMUS, University of Seville, Seville, Spain","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079428434","display_name":"Mateusz Juda","orcid":"https://orcid.org/0000-0003-2023-8430"},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]},{"id":"https://openalex.org/I4210087266","display_name":"Institute of Computer Science","ror":"https://ror.org/003fvp964","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210087266","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Mateusz Juda","raw_affiliation_strings":["Institute of Computer Science and Computational Mathematics, Jagiellonian University, Krakow, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Science and Computational Mathematics, Jagiellonian University, Krakow, Poland","institution_ids":["https://openalex.org/I126596746","https://openalex.org/I4210087266"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111456370","display_name":"Alexandra Bac","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Alexandra Bac","raw_affiliation_strings":["Aix-Marseille Universit\u00e9, CNRS, LSIS UMR 7296, Marseille, France","Aix-Marseille Universit\u00e9, Marseille, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aix-Marseille Universit\u00e9, CNRS, LSIS UMR 7296, Marseille, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I21491767"]},{"raw_affiliation_string":"Aix-Marseille Universit\u00e9, Marseille, France","institution_ids":["https://openalex.org/I21491767"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071749162","display_name":"Jean\u2010Luc Mari","orcid":"https://orcid.org/0000-0002-9552-6739"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Luc Mari","raw_affiliation_strings":["Aix-Marseille Universit\u00e9, CNRS, LSIS UMR 7296, Marseille, France","Aix-Marseille Universit\u00e9, Marseille, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aix-Marseille Universit\u00e9, CNRS, LSIS UMR 7296, Marseille, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I21491767"]},{"raw_affiliation_string":"Aix-Marseille Universit\u00e9, Marseille, France","institution_ids":["https://openalex.org/I21491767"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002940525","display_name":"Pedro Real","orcid":"https://orcid.org/0000-0002-6853-0505"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Pedro Real","raw_affiliation_strings":["Institute of Mathematics IMUS, University of Seville, Seville, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics IMUS, University of Seville, Seville, Spain","institution_ids":["https://openalex.org/I79238269"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5065302085"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I79238269"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"130","last_page":"139"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9995999932289124,"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":0.9995999932289124,"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/T11106","display_name":"Data Management and Algorithms","score":0.9908999800682068,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9625999927520752,"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/betti-number","display_name":"Betti number","score":0.8657940030097961},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6356983184814453},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.63411545753479},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.49289965629577637},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46526598930358887},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.4531566798686981},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.45099353790283203},{"id":"https://openalex.org/keywords/simplicial-homology","display_name":"Simplicial homology","score":0.4296160936355591},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.42720022797584534},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3870061933994293},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37322998046875},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35789093375205994},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1348716914653778}],"concepts":[{"id":"https://openalex.org/C129621563","wikidata":"https://www.wikidata.org/wiki/Q429593","display_name":"Betti number","level":2,"score":0.8657940030097961},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6356983184814453},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.63411545753479},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.49289965629577637},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46526598930358887},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.4531566798686981},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.45099353790283203},{"id":"https://openalex.org/C3469331","wikidata":"https://www.wikidata.org/wiki/Q7520902","display_name":"Simplicial homology","level":3,"score":0.4296160936355591},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.42720022797584534},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3870061933994293},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37322998046875},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35789093375205994},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1348716914653778},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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":4,"locations":[{"id":"doi:10.1007/978-3-319-39441-1_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-39441-1_12","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:ruj.uj.edu.pl:item/47098","is_oa":true,"landing_page_url":"https://ruj.uj.edu.pl/xmlui/handle/item/47098","pdf_url":null,"source":{"id":"https://openalex.org/S4306400316","display_name":"Homo Politicus (Academy of Humanities and Economics in Lodz)","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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"publikacja pokonferencyjna"},{"id":"pmh:oai:HAL:hal-01341014v1","is_oa":false,"landing_page_url":"https://amu.hal.science/hal-01341014","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"6th International Workshop on Computational Topology in Image Context (CTIC 2016), Jun 2016, Marseille, France. pp.130-139, &#x27E8;10.1007/978-3-319-39441-1_12&#x27E9;","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:idus.us.es:11441/126286","is_oa":true,"landing_page_url":"https://idus.us.es/handle//11441/126286","pdf_url":null,"source":{"id":"https://openalex.org/S4306401665","display_name":"Deposito de Investigacion Universidad de Sevilla (University of Seville)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79238269","host_organization_name":"Universidad de Sevilla","host_organization_lineage":["https://openalex.org/I79238269"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:ruj.uj.edu.pl:item/47098","is_oa":true,"landing_page_url":"https://ruj.uj.edu.pl/xmlui/handle/item/47098","pdf_url":null,"source":{"id":"https://openalex.org/S4306400316","display_name":"Homo Politicus (Academy of Humanities and Economics in Lodz)","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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"publikacja pokonferencyjna"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.6800000071525574,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W86781056","https://openalex.org/W124643305","https://openalex.org/W1485705023","https://openalex.org/W1496383623","https://openalex.org/W1986644591","https://openalex.org/W2018664943","https://openalex.org/W2025892619","https://openalex.org/W2081963949","https://openalex.org/W2087355659","https://openalex.org/W2116085985","https://openalex.org/W2146707102","https://openalex.org/W2159603314","https://openalex.org/W2166950906","https://openalex.org/W2188562408","https://openalex.org/W2486762503","https://openalex.org/W2752573522","https://openalex.org/W3145128584","https://openalex.org/W4234002930","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1520453355","https://openalex.org/W2600048475","https://openalex.org/W4298038539","https://openalex.org/W2952976100","https://openalex.org/W1974255637","https://openalex.org/W4294397252","https://openalex.org/W2533812677","https://openalex.org/W2009926834","https://openalex.org/W4321471594","https://openalex.org/W3093832924"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
