{"id":"https://openalex.org/W2063513139","doi":"https://doi.org/10.1007/s10851-007-0010-0","title":"Discrete Dynamical System Framework for Construction of Connections between Critical Regions in\u00a0Lattice\u00a0Height\u00a0Data","display_name":"Discrete Dynamical System Framework for Construction of Connections between Critical Regions in\u00a0Lattice\u00a0Height\u00a0Data","publication_year":2007,"publication_date":"2007-06-08","ids":{"openalex":"https://openalex.org/W2063513139","doi":"https://doi.org/10.1007/s10851-007-0010-0","mag":"2063513139"},"language":"en","primary_location":{"id":"doi:10.1007/s10851-007-0010-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-007-0010-0","pdf_url":null,"source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Imaging and Vision","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103042344","display_name":"Madjid \u00c1llili","orcid":"https://orcid.org/0000-0003-1620-4350"},"institutions":[{"id":"https://openalex.org/I113281461","display_name":"Bishop's University","ror":"https://ror.org/051prj435","country_code":"CA","type":"education","lineage":["https://openalex.org/I113281461"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Madjid Allili","raw_affiliation_strings":["Department of Computer Science, Bishop\u2019s University, Sherbrooke, Qu\u00e9bec, Canada, J1M 1Z7","Department of Computer Science, Bishop's University, Sherbrooke, Canada J1M 1Z7"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Bishop\u2019s University, Sherbrooke, Qu\u00e9bec, Canada, J1M 1Z7","institution_ids":["https://openalex.org/I113281461"]},{"raw_affiliation_string":"Department of Computer Science, Bishop's University, Sherbrooke, Canada J1M 1Z7","institution_ids":["https://openalex.org/I113281461"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064440732","display_name":"David Corriveau","orcid":null},"institutions":[{"id":"https://openalex.org/I135117807","display_name":"Universit\u00e9 de Sherbrooke","ror":"https://ror.org/00kybxq39","country_code":"CA","type":"education","lineage":["https://openalex.org/I135117807"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"David Corriveau","raw_affiliation_strings":["D\u00e9partement d\u2019informatique, Universit\u00e9 de Sherbrooke, Sherbrooke, Qu\u00e9bec, Canada, J1K 2R1","D\u00e9partement d'Informatique, Universit\u00e9 de Sherbrooke, Sherbrooke, Canada J1K 2R1"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement d\u2019informatique, Universit\u00e9 de Sherbrooke, Sherbrooke, Qu\u00e9bec, Canada, J1K 2R1","institution_ids":["https://openalex.org/I135117807"]},{"raw_affiliation_string":"D\u00e9partement d'Informatique, Universit\u00e9 de Sherbrooke, Sherbrooke, Canada J1K 2R1","institution_ids":["https://openalex.org/I135117807"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076427311","display_name":"Sara Derivi\u00e8re","orcid":null},"institutions":[{"id":"https://openalex.org/I135117807","display_name":"Universit\u00e9 de Sherbrooke","ror":"https://ror.org/00kybxq39","country_code":"CA","type":"education","lineage":["https://openalex.org/I135117807"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Sara Derivi\u00e8re","raw_affiliation_strings":["D\u00e9partement de math\u00e9matiques, Universit\u00e9 de Sherbrooke, Sherbrooke, Qu\u00e9bec, Canada, J1K 2R1","D\u00e9partement de math\u00e9matiques, Universit\u00e9 de Sherbrooke, Sherbrooke, Canada J1K 2R1#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement de math\u00e9matiques, Universit\u00e9 de Sherbrooke, Sherbrooke, Qu\u00e9bec, Canada, J1K 2R1","institution_ids":["https://openalex.org/I135117807"]},{"raw_affiliation_string":"D\u00e9partement de math\u00e9matiques, Universit\u00e9 de Sherbrooke, Sherbrooke, Canada J1K 2R1#TAB#","institution_ids":["https://openalex.org/I135117807"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055790589","display_name":"Tomasz Kaczy\u0144ski","orcid":null},"institutions":[{"id":"https://openalex.org/I135117807","display_name":"Universit\u00e9 de Sherbrooke","ror":"https://ror.org/00kybxq39","country_code":"CA","type":"education","lineage":["https://openalex.org/I135117807"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Tomasz Kaczynski","raw_affiliation_strings":["D\u00e9partement de math\u00e9matiques, Universit\u00e9 de Sherbrooke, Sherbrooke, Qu\u00e9bec, Canada, J1K 2R1","D\u00e9partement de math\u00e9matiques, Universit\u00e9 de Sherbrooke, Sherbrooke, Canada J1K 2R1#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement de math\u00e9matiques, Universit\u00e9 de Sherbrooke, Sherbrooke, Qu\u00e9bec, Canada, J1K 2R1","institution_ids":["https://openalex.org/I135117807"]},{"raw_affiliation_string":"D\u00e9partement de math\u00e9matiques, Universit\u00e9 de Sherbrooke, Sherbrooke, Canada J1K 2R1#TAB#","institution_ids":["https://openalex.org/I135117807"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016648718","display_name":"Anik Trahan","orcid":null},"institutions":[{"id":"https://openalex.org/I113281461","display_name":"Bishop's University","ror":"https://ror.org/051prj435","country_code":"CA","type":"education","lineage":["https://openalex.org/I113281461"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Anik Trahan","raw_affiliation_strings":["Department of Computer Science, Bishop\u2019s University, Sherbrooke, Qu\u00e9bec, Canada, J1M 1Z7","Department of Computer Science, Bishop's University, Sherbrooke, Canada J1M 1Z7"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Bishop\u2019s University, Sherbrooke, Qu\u00e9bec, Canada, J1M 1Z7","institution_ids":["https://openalex.org/I113281461"]},{"raw_affiliation_string":"Department of Computer Science, Bishop's University, Sherbrooke, Canada J1M 1Z7","institution_ids":["https://openalex.org/I113281461"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":2.2448,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.87728239,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"28","issue":"2","first_page":"99","last_page":"111"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":1.0,"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":1.0,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9850999712944031,"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/T12859","display_name":"Cell Image Analysis Techniques","score":0.9380000233650208,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/morse-theory","display_name":"Morse theory","score":0.6890402436256409},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6306793689727783},{"id":"https://openalex.org/keywords/morse-code","display_name":"Morse code","score":0.6139870285987854},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.6111745834350586},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5488071441650391},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5014495849609375},{"id":"https://openalex.org/keywords/discrete-morse-theory","display_name":"Discrete Morse theory","score":0.49376019835472107},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.49247559905052185},{"id":"https://openalex.org/keywords/topological-data-analysis","display_name":"Topological data analysis","score":0.415115088224411},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36885249614715576},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30599579215049744},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2936253845691681},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.261575847864151},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.25740599632263184},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08376204967498779}],"concepts":[{"id":"https://openalex.org/C156730297","wikidata":"https://www.wikidata.org/wiki/Q2296951","display_name":"Morse theory","level":2,"score":0.6890402436256409},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6306793689727783},{"id":"https://openalex.org/C140031139","wikidata":"https://www.wikidata.org/wiki/Q79897","display_name":"Morse code","level":2,"score":0.6139870285987854},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.6111745834350586},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5488071441650391},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5014495849609375},{"id":"https://openalex.org/C170315498","wikidata":"https://www.wikidata.org/wiki/Q5282039","display_name":"Discrete Morse theory","level":3,"score":0.49376019835472107},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.49247559905052185},{"id":"https://openalex.org/C2776477805","wikidata":"https://www.wikidata.org/wiki/Q4460773","display_name":"Topological data analysis","level":2,"score":0.415115088224411},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36885249614715576},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30599579215049744},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2936253845691681},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.261575847864151},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.25740599632263184},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08376204967498779},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10851-007-0010-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-007-0010-0","pdf_url":null,"source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Imaging and Vision","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5299999713897705}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W181053014","https://openalex.org/W1496383623","https://openalex.org/W1501430884","https://openalex.org/W1505539603","https://openalex.org/W1602929451","https://openalex.org/W1970001412","https://openalex.org/W1970242944","https://openalex.org/W1970846348","https://openalex.org/W2024913803","https://openalex.org/W2032159165","https://openalex.org/W2056229121","https://openalex.org/W2064020260","https://openalex.org/W2068014716","https://openalex.org/W2088784055","https://openalex.org/W2091590338","https://openalex.org/W2102858796","https://openalex.org/W2120357206","https://openalex.org/W2136186816","https://openalex.org/W2144044408","https://openalex.org/W2793167574","https://openalex.org/W2795407492","https://openalex.org/W3013843370","https://openalex.org/W3138447845","https://openalex.org/W4205343085","https://openalex.org/W4234555707","https://openalex.org/W4236614157","https://openalex.org/W4240701720","https://openalex.org/W4244190273","https://openalex.org/W4386874577"],"related_works":["https://openalex.org/W2037435271","https://openalex.org/W1595332435","https://openalex.org/W2185671344","https://openalex.org/W4389768470","https://openalex.org/W1976948755","https://openalex.org/W4308897745","https://openalex.org/W2106662121","https://openalex.org/W2182193748","https://openalex.org/W4391621586","https://openalex.org/W4281700539"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}