{"id":"https://openalex.org/W1605048340","doi":"https://doi.org/10.1007/978-3-642-17274-8_12","title":"Split Bregman Method for Minimization of Region-Scalable Fitting Energy for Image Segmentation","display_name":"Split Bregman Method for Minimization of Region-Scalable Fitting Energy for Image Segmentation","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1605048340","doi":"https://doi.org/10.1007/978-3-642-17274-8_12","mag":"1605048340"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-17274-8_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-17274-8_12","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5090906323","display_name":"Yunyun Yang","orcid":"https://orcid.org/0000-0002-0488-7652"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]},{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["CN","US"],"is_corresponding":true,"raw_author_name":"Yunyun Yang","raw_affiliation_strings":["Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China","Department of Mathematics, The Ohio State University, OH, 43202, U.S","Department of Mathematics, The Ohio State University, OH and Department of Mathematics, Harbin Institute of Technology, Harbin, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"Department of Mathematics, The Ohio State University, OH, 43202, U.S","institution_ids":["https://openalex.org/I52357470"]},{"raw_affiliation_string":"Department of Mathematics, The Ohio State University, OH and Department of Mathematics, Harbin Institute of Technology, Harbin, China#TAB#","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100701327","display_name":"Chunming Li","orcid":"https://orcid.org/0000-0002-4159-7048"},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chunming Li","raw_affiliation_strings":["Department of Radiology, University of Pennsylvania, PA, 19104, U.S","Department of Radiology, University of Pennsylvania, PA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Radiology, University of Pennsylvania, PA, 19104, U.S","institution_ids":["https://openalex.org/I79576946"]},{"raw_affiliation_string":"Department of Radiology, University of Pennsylvania, PA#TAB#","institution_ids":["https://openalex.org/I79576946"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045327320","display_name":"Chiu\u2010Yen Kao","orcid":"https://orcid.org/0000-0003-3082-4943"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chiu-Yen Kao","raw_affiliation_strings":["Department of Mathematics, The Ohio State University, OH, 43202, U.S","Mathematical Biosciences Institute, The Ohio State University, OH, 43210, U.S","Department of Mathematics, The Ohio State University, OH and Mathematical Biosciences Institute, The Ohio State University, OH#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Ohio State University, OH, 43202, U.S","institution_ids":["https://openalex.org/I52357470"]},{"raw_affiliation_string":"Mathematical Biosciences Institute, The Ohio State University, OH, 43210, U.S","institution_ids":["https://openalex.org/I52357470"]},{"raw_affiliation_string":"Department of Mathematics, The Ohio State University, OH and Mathematical Biosciences Institute, The Ohio State University, OH#TAB#","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002037883","display_name":"Stanley Osher","orcid":"https://orcid.org/0000-0002-7900-4658"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stanley Osher","raw_affiliation_strings":["Department of Mathematics, University of California, Los Angeles, CA, 90095, U.S","[Department of Mathematics, University of California, Los Angeles, CA]"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Los Angeles, CA, 90095, U.S","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"[Department of Mathematics, University of California, Los Angeles, CA]","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5090906323"],"corresponding_institution_ids":["https://openalex.org/I204983213","https://openalex.org/I52357470"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.6089,"has_fulltext":false,"cited_by_count":60,"citation_normalized_percentile":{"value":0.94923139,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"117","last_page":"128"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9988999962806702,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9980000257492065,"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/robustness","display_name":"Robustness (evolution)","score":0.7239021062850952},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.715756893157959},{"id":"https://openalex.org/keywords/active-contour-model","display_name":"Active contour model","score":0.6812688708305359},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"Image segmentation","score":0.620466411113739},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.6197254657745361},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.5874929428100586},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5402914881706238},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.536545991897583},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5310421586036682},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5186069011688232},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.474608838558197},{"id":"https://openalex.org/keywords/scale-space-segmentation","display_name":"Scale-space segmentation","score":0.45863187313079834},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39088788628578186},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21654626727104187}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7239021062850952},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.715756893157959},{"id":"https://openalex.org/C112353826","wikidata":"https://www.wikidata.org/wiki/Q127313","display_name":"Active contour model","level":4,"score":0.6812688708305359},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.620466411113739},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.6197254657745361},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.5874929428100586},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5402914881706238},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.536545991897583},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5310421586036682},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5186069011688232},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.474608838558197},{"id":"https://openalex.org/C65885262","wikidata":"https://www.wikidata.org/wiki/Q7429708","display_name":"Scale-space segmentation","level":4,"score":0.45863187313079834},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39088788628578186},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21654626727104187},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-17274-8_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-17274-8_12","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8999999761581421,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1523554224","https://openalex.org/W1991113069","https://openalex.org/W2008101963","https://openalex.org/W2011181254","https://openalex.org/W2023297597","https://openalex.org/W2038495454","https://openalex.org/W2079690285","https://openalex.org/W2101789519","https://openalex.org/W2103559027","https://openalex.org/W2104095591","https://openalex.org/W2112891016","https://openalex.org/W2114487471","https://openalex.org/W2116040950","https://openalex.org/W2122184585","https://openalex.org/W2128089874","https://openalex.org/W2135095945","https://openalex.org/W2139478903","https://openalex.org/W2142058898","https://openalex.org/W2146832981","https://openalex.org/W2148395215","https://openalex.org/W2148875485","https://openalex.org/W2149184914","https://openalex.org/W2159152281","https://openalex.org/W2162837059","https://openalex.org/W2165734775","https://openalex.org/W3140024553","https://openalex.org/W3211330693"],"related_works":["https://openalex.org/W2006673626","https://openalex.org/W185820115","https://openalex.org/W2185902295","https://openalex.org/W2103507220","https://openalex.org/W3144569342","https://openalex.org/W2945274617","https://openalex.org/W4313052709","https://openalex.org/W2022929107","https://openalex.org/W2055202857","https://openalex.org/W4205800335"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":8}],"updated_date":"2026-01-15T23:16:33.117629","created_date":"2025-10-10T00:00:00"}