{"id":"https://openalex.org/W2026269844","doi":"https://doi.org/10.1007/s10851-013-0419-6","title":"A Variational Framework for Region-Based Segmentation Incorporating Physical Noise Models","display_name":"A Variational Framework for Region-Based Segmentation Incorporating Physical Noise Models","publication_year":2013,"publication_date":"2013-02-07","ids":{"openalex":"https://openalex.org/W2026269844","doi":"https://doi.org/10.1007/s10851-013-0419-6","mag":"2026269844"},"language":"en","primary_location":{"id":"doi:10.1007/s10851-013-0419-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-013-0419-6","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/A5013218534","display_name":"Alex Sawatzky","orcid":null},"institutions":[{"id":"https://openalex.org/I22465464","display_name":"University of M\u00fcnster","ror":"https://ror.org/00pd74e08","country_code":"DE","type":"education","lineage":["https://openalex.org/I22465464"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Alex Sawatzky","raw_affiliation_strings":["Institut f\u00fcr Numerische und Angewandte Mathematik, Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster, Einsteinstr. 62, 48149, M\u00fcnster, Germany","Institut f\u00fcr Numerische und Angewandte Mathematik, Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster, M\u00fcnster, Germany 48149"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Numerische und Angewandte Mathematik, Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster, Einsteinstr. 62, 48149, M\u00fcnster, Germany","institution_ids":["https://openalex.org/I22465464"]},{"raw_affiliation_string":"Institut f\u00fcr Numerische und Angewandte Mathematik, Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster, M\u00fcnster, Germany 48149","institution_ids":["https://openalex.org/I22465464"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026483039","display_name":"Daniel Tenbrinck","orcid":"https://orcid.org/0000-0002-4788-9332"},"institutions":[{"id":"https://openalex.org/I22465464","display_name":"University of M\u00fcnster","ror":"https://ror.org/00pd74e08","country_code":"DE","type":"education","lineage":["https://openalex.org/I22465464"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Tenbrinck","raw_affiliation_strings":["Institut f\u00fcr Informatik, Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster, Einsteinstr. 62, 48149, M\u00fcnster, Germany","Institut f\u00fcr Informatik, Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster, M\u00fcnster, Germany 48149#TAB#"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik, Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster, Einsteinstr. 62, 48149, M\u00fcnster, Germany","institution_ids":["https://openalex.org/I22465464"]},{"raw_affiliation_string":"Institut f\u00fcr Informatik, Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster, M\u00fcnster, Germany 48149#TAB#","institution_ids":["https://openalex.org/I22465464"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022183918","display_name":"Xiaoyi Jiang","orcid":"https://orcid.org/0000-0001-7678-9528"},"institutions":[{"id":"https://openalex.org/I22465464","display_name":"University of M\u00fcnster","ror":"https://ror.org/00pd74e08","country_code":"DE","type":"education","lineage":["https://openalex.org/I22465464"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Xiaoyi Jiang","raw_affiliation_strings":["Institut f\u00fcr Informatik, Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster, Einsteinstr. 62, 48149, M\u00fcnster, Germany","Institut f\u00fcr Informatik, Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster, M\u00fcnster, Germany 48149#TAB#"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik, Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster, Einsteinstr. 62, 48149, M\u00fcnster, Germany","institution_ids":["https://openalex.org/I22465464"]},{"raw_affiliation_string":"Institut f\u00fcr Informatik, Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster, M\u00fcnster, Germany 48149#TAB#","institution_ids":["https://openalex.org/I22465464"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069220813","display_name":"Martin Burger","orcid":"https://orcid.org/0000-0003-2619-2912"},"institutions":[{"id":"https://openalex.org/I22465464","display_name":"University of M\u00fcnster","ror":"https://ror.org/00pd74e08","country_code":"DE","type":"education","lineage":["https://openalex.org/I22465464"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin Burger","raw_affiliation_strings":["Institut f\u00fcr Numerische und Angewandte Mathematik, Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster, Einsteinstr. 62, 48149, M\u00fcnster, Germany","Institut f\u00fcr Numerische und Angewandte Mathematik, Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster, M\u00fcnster, Germany 48149"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Numerische und Angewandte Mathematik, Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster, Einsteinstr. 62, 48149, M\u00fcnster, Germany","institution_ids":["https://openalex.org/I22465464"]},{"raw_affiliation_string":"Institut f\u00fcr Numerische und Angewandte Mathematik, Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster, M\u00fcnster, Germany 48149","institution_ids":["https://openalex.org/I22465464"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5013218534"],"corresponding_institution_ids":["https://openalex.org/I22465464"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":8.0008,"has_fulltext":false,"cited_by_count":44,"citation_normalized_percentile":{"value":0.97816647,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"47","issue":"3","first_page":"179","last_page":"209"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9986000061035156,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9986000061035156,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9873999953269958,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9872999787330627,"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/multiplicative-noise","display_name":"Multiplicative noise","score":0.6587732434272766},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.6068065762519836},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.6043405532836914},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5734264850616455},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5446822047233582},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"Image segmentation","score":0.5202459096908569},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.5070841312408447},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5001544952392578},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.490294486284256},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4798795282840729},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4611966609954834},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.4572463035583496},{"id":"https://openalex.org/keywords/scale-space-segmentation","display_name":"Scale-space segmentation","score":0.42583420872688293},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.41681960225105286},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41145217418670654},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.39386147260665894},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3919360637664795},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08039870858192444}],"concepts":[{"id":"https://openalex.org/C18015164","wikidata":"https://www.wikidata.org/wiki/Q6935000","display_name":"Multiplicative noise","level":5,"score":0.6587732434272766},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.6068065762519836},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.6043405532836914},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5734264850616455},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5446822047233582},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.5202459096908569},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.5070841312408447},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5001544952392578},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.490294486284256},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4798795282840729},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4611966609954834},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.4572463035583496},{"id":"https://openalex.org/C65885262","wikidata":"https://www.wikidata.org/wiki/Q7429708","display_name":"Scale-space segmentation","level":4,"score":0.42583420872688293},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.41681960225105286},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41145217418670654},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.39386147260665894},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3919360637664795},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08039870858192444},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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/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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C13412647","wikidata":"https://www.wikidata.org/wiki/Q174948","display_name":"Analog signal","level":3,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10851-013-0419-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-013-0419-6","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":103,"referenced_works":["https://openalex.org/W19898668","https://openalex.org/W35586085","https://openalex.org/W40037269","https://openalex.org/W112727521","https://openalex.org/W609115476","https://openalex.org/W1256797459","https://openalex.org/W1480714962","https://openalex.org/W1489458628","https://openalex.org/W1496099826","https://openalex.org/W1507452981","https://openalex.org/W1508642950","https://openalex.org/W1524324710","https://openalex.org/W1542533295","https://openalex.org/W1553283060","https://openalex.org/W1571840955","https://openalex.org/W1579559187","https://openalex.org/W1579781026","https://openalex.org/W1585160083","https://openalex.org/W1604679511","https://openalex.org/W1604809219","https://openalex.org/W1653619892","https://openalex.org/W1883870231","https://openalex.org/W1967374611","https://openalex.org/W1977700559","https://openalex.org/W1985340647","https://openalex.org/W1985588167","https://openalex.org/W1991113069","https://openalex.org/W1997063559","https://openalex.org/W1998339281","https://openalex.org/W2005089986","https://openalex.org/W2017848200","https://openalex.org/W2029501374","https://openalex.org/W2033736734","https://openalex.org/W2038495454","https://openalex.org/W2043476842","https://openalex.org/W2044461626","https://openalex.org/W2044562173","https://openalex.org/W2048216069","https://openalex.org/W2054358220","https://openalex.org/W2055964591","https://openalex.org/W2058704204","https://openalex.org/W2069629287","https://openalex.org/W2072843185","https://openalex.org/W2073935280","https://openalex.org/W2092663520","https://openalex.org/W2093834886","https://openalex.org/W2095272243","https://openalex.org/W2096426929","https://openalex.org/W2100533333","https://openalex.org/W2103559027","https://openalex.org/W2104095591","https://openalex.org/W2104726549","https://openalex.org/W2105125008","https://openalex.org/W2110264793","https://openalex.org/W2111659816","https://openalex.org/W2113726946","https://openalex.org/W2114487471","https://openalex.org/W2116040950","https://openalex.org/W2117530999","https://openalex.org/W2119249988","https://openalex.org/W2122184585","https://openalex.org/W2122890444","https://openalex.org/W2123139184","https://openalex.org/W2125616366","https://openalex.org/W2127081471","https://openalex.org/W2130706954","https://openalex.org/W2135095945","https://openalex.org/W2138144773","https://openalex.org/W2142058898","https://openalex.org/W2142308565","https://openalex.org/W2144275666","https://openalex.org/W2154707635","https://openalex.org/W2155280009","https://openalex.org/W2155343350","https://openalex.org/W2155697938","https://openalex.org/W2159152281","https://openalex.org/W2160010354","https://openalex.org/W2164391318","https://openalex.org/W2165437406","https://openalex.org/W2165734775","https://openalex.org/W2313147765","https://openalex.org/W2321750535","https://openalex.org/W2414419265","https://openalex.org/W2547617174","https://openalex.org/W2588652871","https://openalex.org/W2593802591","https://openalex.org/W2595348797","https://openalex.org/W2726656315","https://openalex.org/W2795407492","https://openalex.org/W2798817241","https://openalex.org/W2914197704","https://openalex.org/W2916253725","https://openalex.org/W3043060850","https://openalex.org/W3145121796","https://openalex.org/W3151331431","https://openalex.org/W3211330693","https://openalex.org/W4212951453","https://openalex.org/W4213046749","https://openalex.org/W4213294521","https://openalex.org/W4233730708","https://openalex.org/W4236965008","https://openalex.org/W4250690007","https://openalex.org/W4301283118"],"related_works":["https://openalex.org/W2100121758","https://openalex.org/W3022718941","https://openalex.org/W4287812451","https://openalex.org/W1996414039","https://openalex.org/W2506602630","https://openalex.org/W2570164708","https://openalex.org/W3097284316","https://openalex.org/W2949211747","https://openalex.org/W2783077938","https://openalex.org/W2152613346"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}