{"id":"https://openalex.org/W2225245499","doi":"https://doi.org/10.1007/s10851-015-0607-7","title":"The Irregularity Issue of Total Orders on Metric Spaces and Its Consequences for Mathematical Morphology","display_name":"The Irregularity Issue of Total Orders on Metric Spaces and Its Consequences for Mathematical Morphology","publication_year":2015,"publication_date":"2015-11-05","ids":{"openalex":"https://openalex.org/W2225245499","doi":"https://doi.org/10.1007/s10851-015-0607-7","mag":"2225245499"},"language":"en","primary_location":{"id":"doi:10.1007/s10851-015-0607-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-015-0607-7","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/A5059574332","display_name":"Emmanuel Chevallier","orcid":null},"institutions":[{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]},{"id":"https://openalex.org/I70768539","display_name":"\u00c9cole Nationale Sup\u00e9rieure des Mines de Paris","ror":"https://ror.org/04y8cs423","country_code":"FR","type":"education","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I70768539"]}],"countries":["FR","IL"],"is_corresponding":true,"raw_author_name":"Emmanuel Chevallier","raw_affiliation_strings":["Mines ParisTech, Fontainebleau, France","Weizmann Institute of Science [Rehovot, Isra\u00ebl] (234 Herzl Street, Rehovot 7610001 - Isra\u00ebl)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mines ParisTech, Fontainebleau, France","institution_ids":["https://openalex.org/I70768539"]},{"raw_affiliation_string":"Weizmann Institute of Science [Rehovot, Isra\u00ebl] (234 Herzl Street, Rehovot 7610001 - Isra\u00ebl)","institution_ids":["https://openalex.org/I53964585"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067475182","display_name":"Jes\u00fas Angulo","orcid":"https://orcid.org/0000-0001-7250-5639"},"institutions":[{"id":"https://openalex.org/I70768539","display_name":"\u00c9cole Nationale Sup\u00e9rieure des Mines de Paris","ror":"https://ror.org/04y8cs423","country_code":"FR","type":"education","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I70768539"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jes\u00fas Angulo","raw_affiliation_strings":["Mines ParisTech, Fontainebleau, France","CMM - Centre de Morphologie Math\u00e9matique (35 rue Saint-Honor\u00e9 77305 Fontainebleau cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mines ParisTech, Fontainebleau, France","institution_ids":["https://openalex.org/I70768539"]},{"raw_affiliation_string":"CMM - Centre de Morphologie Math\u00e9matique (35 rue Saint-Honor\u00e9 77305 Fontainebleau cedex - France)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5059574332"],"corresponding_institution_ids":["https://openalex.org/I53964585","https://openalex.org/I70768539"],"apc_list":{"value":2780,"currency":"USD","value_usd":2780},"apc_paid":null,"fwci":1.1852,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.83689315,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"54","issue":"3","first_page":"344","last_page":"357"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9977999925613403,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9977999925613403,"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/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9878000020980835,"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/mathematics","display_name":"Mathematics","score":0.6498036980628967},{"id":"https://openalex.org/keywords/mathematical-morphology","display_name":"Mathematical morphology","score":0.5743427872657776},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5298559069633484},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.52657550573349},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5035302042961121},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.49796080589294434},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.4887380599975586},{"id":"https://openalex.org/keywords/generality","display_name":"Generality","score":0.47713303565979004},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3812762498855591},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.366528183221817},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34732651710510254},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2760257124900818},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2645750045776367}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6498036980628967},{"id":"https://openalex.org/C185568154","wikidata":"https://www.wikidata.org/wiki/Q530242","display_name":"Mathematical morphology","level":4,"score":0.5743427872657776},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5298559069633484},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.52657550573349},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5035302042961121},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.49796080589294434},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.4887380599975586},{"id":"https://openalex.org/C2780767217","wikidata":"https://www.wikidata.org/wiki/Q5532421","display_name":"Generality","level":2,"score":0.47713303565979004},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3812762498855591},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.366528183221817},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34732651710510254},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2760257124900818},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2645750045776367},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10851-015-0607-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-015-0607-7","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"},{"id":"pmh:oai:HAL:hal-01446907v1","is_oa":false,"landing_page_url":"https://minesparis-psl.hal.science/hal-01446907","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":"Journal of Mathematical Imaging and Vision, 2016, 54 (3), pp.344 - 357. ⟨10.1007/s10851-015-0607-7⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W105040326","https://openalex.org/W110011972","https://openalex.org/W192642361","https://openalex.org/W1479958533","https://openalex.org/W1561442812","https://openalex.org/W1586076277","https://openalex.org/W1593939129","https://openalex.org/W1598345887","https://openalex.org/W1599786999","https://openalex.org/W1974677902","https://openalex.org/W1984420702","https://openalex.org/W1990073712","https://openalex.org/W1990209870","https://openalex.org/W2025859578","https://openalex.org/W2048192550","https://openalex.org/W2061773921","https://openalex.org/W2074427554","https://openalex.org/W2089801867","https://openalex.org/W2101496652","https://openalex.org/W2108124456","https://openalex.org/W2109853861","https://openalex.org/W2116145986","https://openalex.org/W2164741953","https://openalex.org/W2170949105","https://openalex.org/W2184563774","https://openalex.org/W2275957186","https://openalex.org/W2291489978","https://openalex.org/W2461090383","https://openalex.org/W2769954494","https://openalex.org/W4230982142","https://openalex.org/W4240774490"],"related_works":["https://openalex.org/W2045049461","https://openalex.org/W4381094582","https://openalex.org/W1978893398","https://openalex.org/W1977906818","https://openalex.org/W2201908702","https://openalex.org/W2369625323","https://openalex.org/W2058740282","https://openalex.org/W2375111338","https://openalex.org/W2220864757","https://openalex.org/W2352304637"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}