{"id":"https://openalex.org/W3043720871","doi":"https://doi.org/10.1155/2020/5632159","title":"An Approach to the Computation of the Euler Number by means of the Vertex Chain Code","display_name":"An Approach to the Computation of the Euler Number by means of the Vertex Chain Code","publication_year":2020,"publication_date":"2020-07-16","ids":{"openalex":"https://openalex.org/W3043720871","doi":"https://doi.org/10.1155/2020/5632159","mag":"3043720871"},"language":"en","primary_location":{"id":"doi:10.1155/2020/5632159","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/5632159","pdf_url":"https://downloads.hindawi.com/journals/cmmm/2020/5632159.pdf","source":{"id":"https://openalex.org/S36980176","display_name":"Computational and Mathematical Methods in Medicine","issn_l":"1748-670X","issn":["1748-670X","1748-6718"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Mathematical Methods in Medicine","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://downloads.hindawi.com/journals/cmmm/2020/5632159.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086607329","display_name":"Ernesto Bribiesca","orcid":"https://orcid.org/0000-0001-6663-9438"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Ernesto Bribiesca","raw_affiliation_strings":["Departmento de Ciencias de la Computaci\u00f3n, Instituto de Investigaciones en Matem\u00e1ticas Aplicadas y en Sistemas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Apdo. 20-726, Mexico, D.F. 01000, Mexico"],"raw_orcid":"https://orcid.org/0000-0001-6663-9438","affiliations":[{"raw_affiliation_string":"Departmento de Ciencias de la Computaci\u00f3n, Instituto de Investigaciones en Matem\u00e1ticas Aplicadas y en Sistemas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Apdo. 20-726, Mexico, D.F. 01000, Mexico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003647594","display_name":"Ulf\u2010Dietrich Braumann","orcid":"https://orcid.org/0000-0002-0987-4498"},"institutions":[{"id":"https://openalex.org/I147765834","display_name":"Leipzig University of Applied Sciences","ror":"https://ror.org/03xgcq477","country_code":"DE","type":"education","lineage":["https://openalex.org/I147765834"]},{"id":"https://openalex.org/I4210145647","display_name":"Fraunhofer Institute for Cell Therapy and Immunology","ror":"https://ror.org/04x45f476","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210145647","https://openalex.org/I4923324"]},{"id":"https://openalex.org/I926574661","display_name":"Leipzig University","ror":"https://ror.org/03s7gtk40","country_code":"DE","type":"education","lineage":["https://openalex.org/I926574661"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Ulf-Dietrich Braumann","raw_affiliation_strings":["Fakult\u00e4t Ingenieurwissenschaften, Hochschule f\u00fcr Technik, Wirtschaft und Kultur Leipzig, Leipzig, Germany","Fraunhofer-Institut f\u00fcr Zelltherapie und Immunologie, Leipzig, Germany","Institut f\u00fcr Medizinische Informatik, Statistik und Epidemiologie, Universit\u00e4t Leipzig, Leipzig, Germany","Interdisziplin\u00e4res Zentrum f\u00fcr Bioinformatik, Universit\u00e4t Leipzig, Leipzig, Germany"],"raw_orcid":"https://orcid.org/0000-0002-0987-4498","affiliations":[{"raw_affiliation_string":"Fakult\u00e4t Ingenieurwissenschaften, Hochschule f\u00fcr Technik, Wirtschaft und Kultur Leipzig, Leipzig, Germany","institution_ids":["https://openalex.org/I147765834"]},{"raw_affiliation_string":"Fraunhofer-Institut f\u00fcr Zelltherapie und Immunologie, Leipzig, Germany","institution_ids":["https://openalex.org/I4210145647"]},{"raw_affiliation_string":"Institut f\u00fcr Medizinische Informatik, Statistik und Epidemiologie, Universit\u00e4t Leipzig, Leipzig, Germany","institution_ids":["https://openalex.org/I926574661"]},{"raw_affiliation_string":"Interdisziplin\u00e4res Zentrum f\u00fcr Bioinformatik, Universit\u00e4t Leipzig, Leipzig, Germany","institution_ids":["https://openalex.org/I926574661"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065944673","display_name":"\u00c1ngel Carrillo-Bermejo","orcid":"https://orcid.org/0000-0002-2068-7431"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Angel Carrillo-Bermejo","raw_affiliation_strings":["Posgrado en Ciencia e Ingenier\u00eda de la Computaci\u00f3n, Instituto de Investigaciones en Matem\u00e1ticas Aplicadas y en Sistemas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Apdo. Postal 20-726, Mexico, D.F. 01000, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Posgrado en Ciencia e Ingenier\u00eda de la Computaci\u00f3n, Instituto de Investigaciones en Matem\u00e1ticas Aplicadas y en Sistemas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Apdo. Postal 20-726, Mexico, D.F. 01000, Mexico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007636051","display_name":"Humberto Sossa","orcid":"https://orcid.org/0000-0002-0521-4898"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Humberto Sossa-Azuela","raw_affiliation_strings":["Centro de Investigaci\u00f3n en Computaci\u00f3n, Instituto Polit\u00e9cnico Nacional, Av. Juan deDios B\u00e1tiz s/n, Mexico, D.F., Mexico"],"raw_orcid":"https://orcid.org/0000-0002-0521-4898","affiliations":[{"raw_affiliation_string":"Centro de Investigaci\u00f3n en Computaci\u00f3n, Instituto Polit\u00e9cnico Nacional, Av. Juan deDios B\u00e1tiz s/n, Mexico, D.F., Mexico","institution_ids":["https://openalex.org/I59361560"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5086607329"],"corresponding_institution_ids":["https://openalex.org/I8961855"],"apc_list":{"value":2100,"currency":"USD","value_usd":2100},"apc_paid":{"value":2100,"currency":"USD","value_usd":2100},"fwci":0.1962,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.49407985,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"2020","issue":null,"first_page":"1","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9983999729156494,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9970999956130981,"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/computation","display_name":"Computation","score":0.877223551273346},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.7359938621520996},{"id":"https://openalex.org/keywords/chain-code","display_name":"Chain code","score":0.6451351642608643},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.631567656993866},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.581695556640625},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5356200933456421},{"id":"https://openalex.org/keywords/euler-characteristic","display_name":"Euler characteristic","score":0.5260674357414246},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.49518051743507385},{"id":"https://openalex.org/keywords/connected-component","display_name":"Connected component","score":0.464887797832489},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45642396807670593},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.42508167028427124},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42281949520111084},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39534732699394226},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3842744827270508},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3749637007713318},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.30059558153152466},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.2888205647468567},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2431129515171051},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18206775188446045},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12331157922744751},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.10771352052688599},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1051405668258667},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.0810575783252716}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.877223551273346},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.7359938621520996},{"id":"https://openalex.org/C93058836","wikidata":"https://www.wikidata.org/wiki/Q1453572","display_name":"Chain code","level":3,"score":0.6451351642608643},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.631567656993866},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.581695556640625},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5356200933456421},{"id":"https://openalex.org/C196433757","wikidata":"https://www.wikidata.org/wiki/Q852973","display_name":"Euler characteristic","level":2,"score":0.5260674357414246},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.49518051743507385},{"id":"https://openalex.org/C193435613","wikidata":"https://www.wikidata.org/wiki/Q2997928","display_name":"Connected component","level":2,"score":0.464887797832489},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45642396807670593},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.42508167028427124},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42281949520111084},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39534732699394226},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3842744827270508},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3749637007713318},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.30059558153152466},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.2888205647468567},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2431129515171051},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18206775188446045},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12331157922744751},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.10771352052688599},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1051405668258667},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0810575783252716},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1155/2020/5632159","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/5632159","pdf_url":"https://downloads.hindawi.com/journals/cmmm/2020/5632159.pdf","source":{"id":"https://openalex.org/S36980176","display_name":"Computational and Mathematical Methods in Medicine","issn_l":"1748-670X","issn":["1748-670X","1748-6718"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Mathematical Methods in Medicine","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:780b7fd428f745229b571e0bac48ad12","is_oa":false,"landing_page_url":"https://doaj.org/article/780b7fd428f745229b571e0bac48ad12","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"Computational and Mathematical Methods in Medicine, Vol 2020 (2020)","raw_type":"article"},{"id":"pmh:oai:fraunhofer.de:N-614979","is_oa":true,"landing_page_url":"http://publica.fraunhofer.de/documents/N-614979.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400801","display_name":"Publikationsdatenbank der Fraunhofer-Gesellschaft (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fraunhofer IZI","raw_type":"Journal Article"},{"id":"pmh:oai:hindawi.com:10.1155/2020/5632159","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/5632159","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"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":"Research Article"},{"id":"pmh:oai:publica.fraunhofer.de:publica/265951","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/265951","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"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 article"}],"best_oa_location":{"id":"doi:10.1155/2020/5632159","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/5632159","pdf_url":"https://downloads.hindawi.com/journals/cmmm/2020/5632159.pdf","source":{"id":"https://openalex.org/S36980176","display_name":"Computational and Mathematical Methods in Medicine","issn_l":"1748-670X","issn":["1748-670X","1748-6718"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Mathematical Methods in Medicine","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3043720871.pdf","grobid_xml":"https://content.openalex.org/works/W3043720871.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1966129329","https://openalex.org/W1971428153","https://openalex.org/W1974153461","https://openalex.org/W1975919924","https://openalex.org/W1978138036","https://openalex.org/W1982391758","https://openalex.org/W1994940448","https://openalex.org/W2013290288","https://openalex.org/W2022917426","https://openalex.org/W2032463446","https://openalex.org/W2034509043","https://openalex.org/W2034693647","https://openalex.org/W2046337314","https://openalex.org/W2143786310","https://openalex.org/W2150464846","https://openalex.org/W2151851232"],"related_works":["https://openalex.org/W3192281373","https://openalex.org/W2052414634","https://openalex.org/W2020015225","https://openalex.org/W2766785516","https://openalex.org/W4297714858","https://openalex.org/W4302415146","https://openalex.org/W2952814730","https://openalex.org/W2963185310","https://openalex.org/W4319599637","https://openalex.org/W1678047659"],"abstract_inverted_index":{"We":[0],"present":[1,119],"an":[2],"approach":[3],"to":[4,38,42,50,111],"compute":[5],"the":[6,14,19,40,63,67,70,76,81,84,94,97,101,113,120,130],"number":[7,85],"of":[8,30,45,62,69,78,83,86,96,103,115,122,125,127,129],"holes":[9,87],"in":[10,55,73,88,109],"binary":[11,90],"images":[12],"using":[13],"Vertex":[15],"Chain":[16],"Code":[17],"(VCC);":[18],"VCC":[20],"was":[21],"developed":[22],"for":[23],"representing":[24],"and":[25,49,100,105],"analyzing":[26],"2D":[27,47],"shapes":[28],"composed":[29],"cells.":[31],"Using":[32],"this":[33,56],"code,":[34],"it":[35],"is":[36],"possible":[37],"relate":[39],"outer":[41],"inner":[43],"vertices":[44],"any":[46],"shape":[48,91],"find":[51],"interesting":[52],"properties.":[53],"Now,":[54],"paper,":[57],"we":[58,118],"describe":[59],"more":[60],"properties":[61,124],"VCC,":[64],"such":[65],"as":[66],"computation":[68,82,95,121],"connected":[71],"regions":[72],"a":[74,89],"hole,":[75],"analysis":[77],"complementary":[79],"chains,":[80],"or":[92],"image,":[93],"Euler":[98],"number,":[99],"detection":[102],"convex":[104],"concave":[106],"shapes.":[107],"Finally,":[108],"order":[110],"illustrate":[112],"capabilities":[114],"proposed":[116],"methods,":[117],"topological":[123],"examples":[126],"objects":[128],"real":[131],"world.":[132]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
