{"id":"https://openalex.org/W2779074809","doi":"https://doi.org/10.1515/mathm-2017-0001","title":"Mathematical Morphology on Irregularly Sampled Data in One Dimension","display_name":"Mathematical Morphology on Irregularly Sampled Data in One Dimension","publication_year":2017,"publication_date":"2017-12-20","ids":{"openalex":"https://openalex.org/W2779074809","doi":"https://doi.org/10.1515/mathm-2017-0001","mag":"2779074809"},"language":"en","primary_location":{"id":"doi:10.1515/mathm-2017-0001","is_oa":true,"landing_page_url":"https://doi.org/10.1515/mathm-2017-0001","pdf_url":null,"source":{"id":"https://openalex.org/S4210194781","display_name":"Mathematical Morphology - Theory and Applications","issn_l":"2353-3390","issn":["2353-3390"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Morphology - Theory and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1515/mathm-2017-0001","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035427911","display_name":"Teo Asplund","orcid":"https://orcid.org/0000-0002-0612-558X"},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Teo Asplund","raw_affiliation_strings":["Centre for Image Analysis, Uppsala University, Uppsala, Sweden"],"affiliations":[{"raw_affiliation_string":"Centre for Image Analysis, Uppsala University, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055325050","display_name":"Cris L. Luengo Hendriks","orcid":"https://orcid.org/0000-0002-8279-1760"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cris L. Luengo Hendriks","raw_affiliation_strings":["Flagship Biosciences Inc., Westminster, Colorado, USA"],"affiliations":[{"raw_affiliation_string":"Flagship Biosciences Inc., Westminster, Colorado, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088351490","display_name":"Matthew J. Thurley","orcid":"https://orcid.org/0000-0001-6186-7116"},"institutions":[{"id":"https://openalex.org/I190632392","display_name":"Lule\u00e5 University of Technology","ror":"https://ror.org/016st3p78","country_code":"SE","type":"education","lineage":["https://openalex.org/I190632392"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Matthew J. Thurley","raw_affiliation_strings":["Lule\u00e5 University of Technology, Lule\u00e5, Sweden"],"affiliations":[{"raw_affiliation_string":"Lule\u00e5 University of Technology, Lule\u00e5, Sweden","institution_ids":["https://openalex.org/I190632392"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018135860","display_name":"Robin Strand","orcid":"https://orcid.org/0000-0001-7764-1787"},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Robin Strand","raw_affiliation_strings":["Centre for Image Analysis, Uppsala University, Uppsala, Sweden"],"affiliations":[{"raw_affiliation_string":"Centre for Image Analysis, Uppsala University, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5035427911"],"corresponding_institution_ids":["https://openalex.org/I123387679"],"apc_list":null,"apc_paid":null,"fwci":0.2731,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.65561081,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"2","issue":"1","first_page":"1","last_page":"24"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9918000102043152,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9918000102043152,"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":0.9901000261306763,"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/T10320","display_name":"Neural Networks and Applications","score":0.986299991607666,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/mathematical-morphology","display_name":"Mathematical morphology","score":0.7883871793746948},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7355622053146362},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6719571948051453},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5807178020477295},{"id":"https://openalex.org/keywords/grayscale","display_name":"Grayscale","score":0.5566273927688599},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.5545889735221863},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5088911056518555},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4566364586353302},{"id":"https://openalex.org/keywords/discrete-time-signal","display_name":"Discrete-time signal","score":0.44722381234169006},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4432099461555481},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.38043928146362305},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.34553951025009155},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.3166542053222656},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.2848702669143677},{"id":"https://openalex.org/keywords/analog-signal","display_name":"Analog signal","score":0.24467486143112183},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18478763103485107},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.13261520862579346}],"concepts":[{"id":"https://openalex.org/C185568154","wikidata":"https://www.wikidata.org/wiki/Q530242","display_name":"Mathematical morphology","level":4,"score":0.7883871793746948},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7355622053146362},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6719571948051453},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5807178020477295},{"id":"https://openalex.org/C78201319","wikidata":"https://www.wikidata.org/wiki/Q685727","display_name":"Grayscale","level":3,"score":0.5566273927688599},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.5545889735221863},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5088911056518555},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4566364586353302},{"id":"https://openalex.org/C146749787","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete-time signal","level":5,"score":0.44722381234169006},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4432099461555481},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.38043928146362305},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.34553951025009155},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3166542053222656},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.2848702669143677},{"id":"https://openalex.org/C13412647","wikidata":"https://www.wikidata.org/wiki/Q174948","display_name":"Analog signal","level":3,"score":0.24467486143112183},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18478763103485107},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.13261520862579346},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.0},{"id":"https://openalex.org/C131021393","wikidata":"https://www.wikidata.org/wiki/Q7512759","display_name":"Signal transfer function","level":4,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"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":2,"locations":[{"id":"doi:10.1515/mathm-2017-0001","is_oa":true,"landing_page_url":"https://doi.org/10.1515/mathm-2017-0001","pdf_url":null,"source":{"id":"https://openalex.org/S4210194781","display_name":"Mathematical Morphology - Theory and Applications","issn_l":"2353-3390","issn":["2353-3390"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Morphology - Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:aaf6ad09d282465d90cb7eb0f9f3b39f","is_oa":true,"landing_page_url":"https://doaj.org/article/aaf6ad09d282465d90cb7eb0f9f3b39f","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematical Morphology, Vol 2, Iss 1, Pp 1-24 (2017)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1515/mathm-2017-0001","is_oa":true,"landing_page_url":"https://doi.org/10.1515/mathm-2017-0001","pdf_url":null,"source":{"id":"https://openalex.org/S4210194781","display_name":"Mathematical Morphology - Theory and Applications","issn_l":"2353-3390","issn":["2353-3390"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Morphology - Theory and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W115686965","https://openalex.org/W2357143406","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1586076277","https://openalex.org/W2117032909","https://openalex.org/W2032529054","https://openalex.org/W103340044","https://openalex.org/W2140636190"],"abstract_inverted_index":{"Abstract":[0],"Mathematical":[1],"morphology":[2,32,81,200],"(MM)":[3],"on":[4,14,167],"grayscale":[5],"images":[6],"is":[7,22,33,109,119,134,154],"commonly":[8],"performed":[9],"in":[10,89,136],"the":[11,20,30,44,67,76,83,91,107,122,151,183,188],"discrete":[12,84,163],"domain":[13],"regularly":[15],"sampled":[16,169],"data.":[17,170],"However,":[18],"if":[19],"intention":[21],"to":[23,82,115,120,158,175],"characterize":[24],"or":[25],"quantify":[26],"continuous-domain":[27],"objects,":[28],"then":[29,87],"discrete-domain":[31],"affected":[34],"by":[35,42],"discretization":[36],"errors":[37],"that":[38,165,179],"may":[39,70],"be":[40,71,104,176],"alleviated":[41],"considering":[43],"underlying":[45],"continuous":[46,68,77,92],"signal.":[47],"Given":[48],"a":[49,54,59,97,125,159],"band-limited":[50],"image,":[51],"for":[52],"example,":[53],"real":[55],"image":[56],"projected":[57],"through":[58],"lens":[60],"system,":[61],"which":[62],"has":[63],"been":[64],"correctly":[65],"sampled,":[66],"signal":[69,78],"reconstructed.":[72],"Using":[73],"information":[74],"from":[75],"when":[79],"applying":[80],"samples":[85],"can":[86],"aid":[88],"approximating":[90],"morphology.":[93],"Additionally,":[94],"there":[95],"are":[96,173,180],"number":[98],"of":[99,148,162],"applications":[100],"where":[101,132,198],"MM":[102],"would":[103],"useful":[105],"and":[106,191],"data":[108,123,133],"irregularly":[110,168],"sampled.":[111],"A":[112],"common":[113],"way":[114,147],"deal":[116],"with":[117,138,182],"this":[118,129,143],"resample":[121],"onto":[124],"regular":[126],"grid.":[127],"Often":[128],"creates":[130],"problems":[131],"interpolated":[135],"areas":[137],"too":[139],"few":[140],"samples.":[141],"In":[142],"paper,":[144],"an":[145],"alternative":[146],"thinking":[149],"about":[150],"morphological":[152,177,185],"operators":[153,164,172,178,186],"presented.":[155],"This":[156],"leads":[157],"new":[160],"type":[161],"work":[166],"These":[171],"shown":[174],"consistent":[181],"regular,":[184],"under":[187,195],"same":[189],"conditions,":[190],"yield":[192],"accurate":[193],"results":[194],"certain":[196],"conditions":[197],"traditional":[199],"performs":[201],"poorly.":[202]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2018-01-05T00:00:00"}
