{"id":"https://openalex.org/W2137514417","doi":"https://doi.org/10.1109/icip.2009.5413829","title":"A multiphase region-based framework for image segmentation based on least square method","display_name":"A multiphase region-based framework for image segmentation based on least square method","publication_year":2009,"publication_date":"2009-11-01","ids":{"openalex":"https://openalex.org/W2137514417","doi":"https://doi.org/10.1109/icip.2009.5413829","mag":"2137514417"},"language":"en","primary_location":{"id":"doi:10.1109/icip.2009.5413829","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2009.5413829","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 16th IEEE International Conference on Image Processing (ICIP)","raw_type":"proceedings-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/A5028737908","display_name":"G. Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I4210115570","display_name":"National Space Science Center","ror":"https://ror.org/02nnjtm50","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210115570"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"G. Chen","raw_affiliation_strings":["Center of Space Science and Applied Research, Chinese Academy and Sciences, China","Center for Space Science and Applied Research, CAS, China"],"affiliations":[{"raw_affiliation_string":"Center of Space Science and Applied Research, Chinese Academy and Sciences, China","institution_ids":["https://openalex.org/I4210115570"]},{"raw_affiliation_string":"Center for Space Science and Applied Research, CAS, China","institution_ids":["https://openalex.org/I4210115570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020274552","display_name":"Xin Meng","orcid":"https://orcid.org/0000-0002-0101-6042"},"institutions":[{"id":"https://openalex.org/I4210115570","display_name":"National Space Science Center","ror":"https://ror.org/02nnjtm50","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210115570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin Meng","raw_affiliation_strings":["Center of Space Science and Applied Research, Chinese Academy and Sciences, China","Center for Space Science and Applied Research, CAS, China"],"affiliations":[{"raw_affiliation_string":"Center of Space Science and Applied Research, Chinese Academy and Sciences, China","institution_ids":["https://openalex.org/I4210115570"]},{"raw_affiliation_string":"Center for Space Science and Applied Research, CAS, China","institution_ids":["https://openalex.org/I4210115570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057629601","display_name":"Taotao Hu","orcid":"https://orcid.org/0000-0002-7177-9344"},"institutions":[{"id":"https://openalex.org/I4210115570","display_name":"National Space Science Center","ror":"https://ror.org/02nnjtm50","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210115570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"T. Hu","raw_affiliation_strings":["Center of Space Science and Applied Research, Chinese Academy and Sciences, China","Center for Space Science and Applied Research, CAS, China"],"affiliations":[{"raw_affiliation_string":"Center of Space Science and Applied Research, Chinese Academy and Sciences, China","institution_ids":["https://openalex.org/I4210115570"]},{"raw_affiliation_string":"Center for Space Science and Applied Research, CAS, China","institution_ids":["https://openalex.org/I4210115570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048544691","display_name":"Xifeng Guo","orcid":"https://orcid.org/0000-0002-3556-1516"},"institutions":[{"id":"https://openalex.org/I4210115570","display_name":"National Space Science Center","ror":"https://ror.org/02nnjtm50","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210115570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"X. Y. Guo","raw_affiliation_strings":["Center of Space Science and Applied Research, Chinese Academy and Sciences, China","Center for Space Science and Applied Research, CAS, China"],"affiliations":[{"raw_affiliation_string":"Center of Space Science and Applied Research, Chinese Academy and Sciences, China","institution_ids":["https://openalex.org/I4210115570"]},{"raw_affiliation_string":"Center for Space Science and Applied Research, CAS, China","institution_ids":["https://openalex.org/I4210115570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054530129","display_name":"Lixiong Liu","orcid":"https://orcid.org/0000-0001-8357-1113"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li-xiong Liu","raw_affiliation_strings":["School of Computer Science, Beijing Institute of Technology, China","Sch. of Comput. Sci., Beijing Inst. of Technol., China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Beijing Institute of Technology, China","institution_ids":["https://openalex.org/I125839683"]},{"raw_affiliation_string":"Sch. of Comput. Sci., Beijing Inst. of Technol., China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100764111","display_name":"Haiying Zhang","orcid":"https://orcid.org/0000-0003-0625-6878"},"institutions":[{"id":"https://openalex.org/I4210166112","display_name":"State Key Laboratory of Remote Sensing Science","ror":"https://ror.org/05wzjqa24","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210166112"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haiying Zhang","raw_affiliation_strings":["Institute of Remote Sensing and Application, Chinese Academy and Sciences, China","Institute of Remote Sensing and Application, CAS, China"],"affiliations":[{"raw_affiliation_string":"Institute of Remote Sensing and Application, Chinese Academy and Sciences, China","institution_ids":["https://openalex.org/I4210166112"]},{"raw_affiliation_string":"Institute of Remote Sensing and Application, CAS, China","institution_ids":["https://openalex.org/I4210166112"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5028737908"],"corresponding_institution_ids":["https://openalex.org/I4210115570"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.17387537,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"7","issue":null,"first_page":"4009","last_page":"4012"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9998000264167786,"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":0.9998000264167786,"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/T12549","display_name":"Image and Object Detection Techniques","score":0.9957000017166138,"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/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.9937000274658203,"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/piecewise","display_name":"Piecewise","score":0.787917971611023},{"id":"https://openalex.org/keywords/weighting","display_name":"Weighting","score":0.7613404989242554},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"Image segmentation","score":0.7100511789321899},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.6148028373718262},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.5808464288711548},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5624351501464844},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.5508895516395569},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5174146890640259},{"id":"https://openalex.org/keywords/scale-space-segmentation","display_name":"Scale-space segmentation","score":0.49003469944000244},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47082120180130005},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.41492199897766113},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.39655667543411255},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3836214542388916},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34080201387405396},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.32410189509391785},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06536662578582764}],"concepts":[{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.787917971611023},{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.7613404989242554},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.7100511789321899},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.6148028373718262},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.5808464288711548},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5624351501464844},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.5508895516395569},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5174146890640259},{"id":"https://openalex.org/C65885262","wikidata":"https://www.wikidata.org/wiki/Q7429708","display_name":"Scale-space segmentation","level":4,"score":0.49003469944000244},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47082120180130005},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.41492199897766113},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.39655667543411255},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3836214542388916},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34080201387405396},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.32410189509391785},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06536662578582764},{"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/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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":1,"locations":[{"id":"doi:10.1109/icip.2009.5413829","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2009.5413829","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 16th IEEE International Conference on Image Processing (ICIP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1838005314","https://openalex.org/W1991113069","https://openalex.org/W2081425135","https://openalex.org/W2098152234","https://openalex.org/W2104095591","https://openalex.org/W2114487471","https://openalex.org/W2115664739","https://openalex.org/W2116040950","https://openalex.org/W2132363464","https://openalex.org/W2145803225","https://openalex.org/W2149184914","https://openalex.org/W2165734775","https://openalex.org/W3211330693"],"related_works":["https://openalex.org/W2180954594","https://openalex.org/W2052835778","https://openalex.org/W2049003611","https://openalex.org/W2127804977","https://openalex.org/W2108418243","https://openalex.org/W164103134","https://openalex.org/W2040545019","https://openalex.org/W2787352659","https://openalex.org/W1970611213","https://openalex.org/W4206560911"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,28,84],"multiphase":[3],"region-based":[4,58],"framework":[5],"for":[6],"image":[7,39,86,111],"segmentation":[8],"using":[9],"Least":[10],"Square":[11],"Method,":[12],"by":[13,32],"piecewise":[14],"constant":[15],"optimal":[16],"approximations.":[17],"The":[18,44],"basic":[19],"idea":[20],"of":[21,36,47,65,101,106],"our":[22,48,77,102],"model":[23],"is":[24,50],"to":[25],"build":[26],"up":[27],"minimum":[29],"error":[30],"functional":[31],"approximating":[33],"n":[34,41],"sub-regions":[35],"the":[37,57,63,66,71,99],"original":[38],"with":[40],"constants":[42],"respectively.":[43],"main":[45],"contribution":[46],"method":[49,78,103],"that":[51],"we":[52],"introduce":[53],"weighting":[54],"matrixes":[55],"into":[56,87],"model,":[59],"which":[60],"can":[61,79],"enhance":[62],"weight":[64],"specific":[67],"region":[68],"while":[69],"reducing":[70],"influence":[72],"from":[73],"other":[74],"regions.":[75],"Moreover,":[76],"fast":[80],"converge,":[81],"and":[82,93,108],"segment":[83],"given":[85],"arbitrary":[88],"regions":[89],"under":[90],"least":[91],"squares":[92],"iterative":[94],"algorithm.":[95],"Experimental":[96],"results":[97],"show":[98],"advantages":[100],"in":[104,110],"terms":[105],"accuracy":[107],"efficiency":[109],"segmentation.":[112]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}