{"id":"https://openalex.org/W3159881839","doi":"https://doi.org/10.1007/s11042-021-10926-9","title":"A variational level set model with closed-form solution for bimodal image segmentation","display_name":"A variational level set model with closed-form solution for bimodal image segmentation","publication_year":2021,"publication_date":"2021-04-25","ids":{"openalex":"https://openalex.org/W3159881839","doi":"https://doi.org/10.1007/s11042-021-10926-9","mag":"3159881839"},"language":"en","primary_location":{"id":"doi:10.1007/s11042-021-10926-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11042-021-10926-9","pdf_url":null,"source":{"id":"https://openalex.org/S110206669","display_name":"Multimedia Tools and Applications","issn_l":"1380-7501","issn":["1380-7501","1573-7721"],"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":"Multimedia Tools and Applications","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/A5103164935","display_name":"Yongfei Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I204512498","display_name":"University of Macau","ror":"https://ror.org/01r4q9n85","country_code":"MO","type":"education","lineage":["https://openalex.org/I204512498"]},{"id":"https://openalex.org/I9086337","display_name":"Taiyuan University of Technology","ror":"https://ror.org/03kv08d37","country_code":"CN","type":"education","lineage":["https://openalex.org/I9086337"]}],"countries":["CN","MO"],"is_corresponding":true,"raw_author_name":"Yongfei Wu","raw_affiliation_strings":["College of Data Science, Taiyuan University of Technology, Taiyuan, Shanxi, China","Faculty of Science and Technology, University of Macau, Taipa, Macau, China"],"affiliations":[{"raw_affiliation_string":"College of Data Science, Taiyuan University of Technology, Taiyuan, Shanxi, China","institution_ids":["https://openalex.org/I9086337"]},{"raw_affiliation_string":"Faculty of Science and Technology, University of Macau, Taipa, Macau, China","institution_ids":["https://openalex.org/I204512498"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010202880","display_name":"Xilin Liu","orcid":"https://orcid.org/0000-0002-1136-6783"},"institutions":[{"id":"https://openalex.org/I9086337","display_name":"Taiyuan University of Technology","ror":"https://ror.org/03kv08d37","country_code":"CN","type":"education","lineage":["https://openalex.org/I9086337"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xilin Liu","raw_affiliation_strings":["College of Data Science, Taiyuan University of Technology, Taiyuan, Shanxi, China"],"affiliations":[{"raw_affiliation_string":"College of Data Science, Taiyuan University of Technology, Taiyuan, Shanxi, China","institution_ids":["https://openalex.org/I9086337"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089844567","display_name":"Peiting Gao","orcid":null},"institutions":[{"id":"https://openalex.org/I9086337","display_name":"Taiyuan University of Technology","ror":"https://ror.org/03kv08d37","country_code":"CN","type":"education","lineage":["https://openalex.org/I9086337"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peiting Gao","raw_affiliation_strings":["College of Data Science, Taiyuan University of Technology, Taiyuan, Shanxi, China"],"affiliations":[{"raw_affiliation_string":"College of Data Science, Taiyuan University of Technology, Taiyuan, Shanxi, China","institution_ids":["https://openalex.org/I9086337"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100718751","display_name":"Zehua Chen","orcid":"https://orcid.org/0000-0003-2127-7829"},"institutions":[{"id":"https://openalex.org/I9086337","display_name":"Taiyuan University of Technology","ror":"https://ror.org/03kv08d37","country_code":"CN","type":"education","lineage":["https://openalex.org/I9086337"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zehua Chen","raw_affiliation_strings":["College of Data Science, Taiyuan University of Technology, Taiyuan, Shanxi, China"],"affiliations":[{"raw_affiliation_string":"College of Data Science, Taiyuan University of Technology, Taiyuan, Shanxi, China","institution_ids":["https://openalex.org/I9086337"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5103164935"],"corresponding_institution_ids":["https://openalex.org/I204512498","https://openalex.org/I9086337"],"apc_list":null,"apc_paid":null,"fwci":0.2906,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.5417687,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"80","issue":"17","first_page":"25943","last_page":"25963"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9983000159263611,"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":0.9983000159263611,"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/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9887999892234802,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.9842000007629395,"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/initialization","display_name":"Initialization","score":0.7881425619125366},{"id":"https://openalex.org/keywords/level-set","display_name":"Level set (data structures)","score":0.7287206053733826},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7197850346565247},{"id":"https://openalex.org/keywords/level-set-method","display_name":"Level set method","score":0.7002658247947693},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.5595488548278809},{"id":"https://openalex.org/keywords/energy-functional","display_name":"Energy functional","score":0.5143367052078247},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5034193396568298},{"id":"https://openalex.org/keywords/signed-distance-function","display_name":"Signed distance function","score":0.4944789409637451},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4805493950843811},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.470905065536499},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"Image segmentation","score":0.4617611765861511},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.4507548213005066},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44913944602012634},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.41723647713661194},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.411529541015625},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3012111186981201},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22875207662582397}],"concepts":[{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.7881425619125366},{"id":"https://openalex.org/C153008295","wikidata":"https://www.wikidata.org/wiki/Q6535093","display_name":"Level set (data structures)","level":2,"score":0.7287206053733826},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7197850346565247},{"id":"https://openalex.org/C125269122","wikidata":"https://www.wikidata.org/wiki/Q1751397","display_name":"Level set method","level":4,"score":0.7002658247947693},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.5595488548278809},{"id":"https://openalex.org/C191640071","wikidata":"https://www.wikidata.org/wiki/Q5377056","display_name":"Energy functional","level":2,"score":0.5143367052078247},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5034193396568298},{"id":"https://openalex.org/C71169176","wikidata":"https://www.wikidata.org/wiki/Q7512907","display_name":"Signed distance function","level":2,"score":0.4944789409637451},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4805493950843811},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.470905065536499},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.4617611765861511},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.4507548213005066},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44913944602012634},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.41723647713661194},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.411529541015625},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3012111186981201},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22875207662582397},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11042-021-10926-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11042-021-10926-9","pdf_url":null,"source":{"id":"https://openalex.org/S110206669","display_name":"Multimedia Tools and Applications","issn_l":"1380-7501","issn":["1380-7501","1573-7721"],"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":"Multimedia Tools and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W1693210201","https://openalex.org/W1884769238","https://openalex.org/W1991113069","https://openalex.org/W1995450389","https://openalex.org/W1999478155","https://openalex.org/W2028087711","https://openalex.org/W2031401275","https://openalex.org/W2038495454","https://openalex.org/W2059240714","https://openalex.org/W2082370554","https://openalex.org/W2104095591","https://openalex.org/W2108424265","https://openalex.org/W2114487471","https://openalex.org/W2116040950","https://openalex.org/W2127218421","https://openalex.org/W2130235624","https://openalex.org/W2132116135","https://openalex.org/W2139478903","https://openalex.org/W2144751639","https://openalex.org/W2145596983","https://openalex.org/W2149862726","https://openalex.org/W2155055620","https://openalex.org/W2159152281","https://openalex.org/W2163605009","https://openalex.org/W2165351422","https://openalex.org/W2167354555","https://openalex.org/W2220312492","https://openalex.org/W2320042159","https://openalex.org/W2344929576","https://openalex.org/W2403214230","https://openalex.org/W2529970009","https://openalex.org/W2612135493","https://openalex.org/W2732510062","https://openalex.org/W2757028014","https://openalex.org/W2767156016","https://openalex.org/W2789523586","https://openalex.org/W2892118665","https://openalex.org/W2909506380","https://openalex.org/W2942023871","https://openalex.org/W2952172727","https://openalex.org/W2955084925","https://openalex.org/W2971079532","https://openalex.org/W2972842530","https://openalex.org/W2987391422","https://openalex.org/W2996167212","https://openalex.org/W3035295069","https://openalex.org/W3105439474","https://openalex.org/W3112764892","https://openalex.org/W3122238731"],"related_works":["https://openalex.org/W2122184585","https://openalex.org/W3121464166","https://openalex.org/W1516196146","https://openalex.org/W2367921179","https://openalex.org/W1979393293","https://openalex.org/W2377107237","https://openalex.org/W2171493617","https://openalex.org/W2417159703","https://openalex.org/W2076397479","https://openalex.org/W2149135821"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}