{"id":"https://openalex.org/W2049692135","doi":"https://doi.org/10.1007/s10851-005-3631-1","title":"Mathematical Analysis of An Extended Mumford-Shah Model for Image Segmentation","display_name":"Mathematical Analysis of An Extended Mumford-Shah Model for Image Segmentation","publication_year":2006,"publication_date":"2006-03-13","ids":{"openalex":"https://openalex.org/W2049692135","doi":"https://doi.org/10.1007/s10851-005-3631-1","mag":"2049692135"},"language":"en","primary_location":{"id":"doi:10.1007/s10851-005-3631-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-005-3631-1","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/A5051447429","display_name":"Trevor Chi-Yuen Tao","orcid":null},"institutions":[{"id":"https://openalex.org/I5681781","display_name":"University of Adelaide","ror":"https://ror.org/00892tw58","country_code":"AU","type":"education","lineage":["https://openalex.org/I5681781"]},{"id":"https://openalex.org/I170239107","display_name":"University of South Australia","ror":"https://ror.org/01p93h210","country_code":"AU","type":"education","lineage":["https://openalex.org/I170239107"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Trevor Chi-Yuen Tao","raw_affiliation_strings":["Co-operative Research Centre for Sensor Signal and Information Processing, Mawson Lakes, SA, 5095, Australia","Department of Applied Mathematics, University of Adelaide, Adelaide, SA, 5005, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Co-operative Research Centre for Sensor Signal and Information Processing, Mawson Lakes, SA, 5095, Australia","institution_ids":["https://openalex.org/I170239107"]},{"raw_affiliation_string":"Department of Applied Mathematics, University of Adelaide, Adelaide, SA, 5005, Australia","institution_ids":["https://openalex.org/I5681781"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057210274","display_name":"David J. Crisp","orcid":null},"institutions":[{"id":"https://openalex.org/I5681781","display_name":"University of Adelaide","ror":"https://ror.org/00892tw58","country_code":"AU","type":"education","lineage":["https://openalex.org/I5681781"]},{"id":"https://openalex.org/I1303474014","display_name":"Defence Science and Technology Group","ror":"https://ror.org/05ddrvt52","country_code":"AU","type":"funder","lineage":["https://openalex.org/I1303474014","https://openalex.org/I2801453606","https://openalex.org/I3139952251"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"David James Crisp","raw_affiliation_strings":["Department of Applied Mathematics, University of Adelaide, Adelaide, SA, 5005, Australia","ISRD, Defence Science and Technology Organisation, PO Box 1500, Edinburgh, SA, 5111, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Adelaide, Adelaide, SA, 5005, Australia","institution_ids":["https://openalex.org/I5681781"]},{"raw_affiliation_string":"ISRD, Defence Science and Technology Organisation, PO Box 1500, Edinburgh, SA, 5111, Australia","institution_ids":["https://openalex.org/I1303474014"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109974738","display_name":"John van der Hoek","orcid":null},"institutions":[{"id":"https://openalex.org/I5681781","display_name":"University of Adelaide","ror":"https://ror.org/00892tw58","country_code":"AU","type":"education","lineage":["https://openalex.org/I5681781"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"John van der Hoek","raw_affiliation_strings":["Discipline of Applied Mathematics, University of Adelaide, Adelaide, SA, 5005, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Discipline of Applied Mathematics, University of Adelaide, Adelaide, SA, 5005, Australia","institution_ids":["https://openalex.org/I5681781"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5051447429"],"corresponding_institution_ids":["https://openalex.org/I170239107","https://openalex.org/I5681781"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.621,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.69182742,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"24","issue":"3","first_page":"327","last_page":"340"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9983999729156494,"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":0.9983999729156494,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9811000227928162,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T10399","display_name":"Hydrocarbon exploration and reservoir analysis","score":0.9480999708175659,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.810653805732727},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.6091915965080261},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.6079323291778564},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.5831319689750671},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5701289176940918},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5617520809173584},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5027561187744141},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"Image segmentation","score":0.4378066062927246},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43737614154815674},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37477707862854004},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3489378094673157},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3430313467979431},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0960594117641449},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0910072922706604}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.810653805732727},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.6091915965080261},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.6079323291778564},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.5831319689750671},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5701289176940918},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5617520809173584},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5027561187744141},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.4378066062927246},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43737614154815674},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37477707862854004},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3489378094673157},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3430313467979431},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0960594117641449},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0910072922706604}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10851-005-3631-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-005-3631-1","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"},{"id":"pmh:oai:digital.library.adelaide.edu.au:2440/23805","is_oa":false,"landing_page_url":"http://hdl.handle.net/2440/23805","pdf_url":null,"source":{"id":"https://openalex.org/S4306401835","display_name":"Adelaide Research & Scholarship (AR&S) (University of Adelaide)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I5681781","host_organization_name":"The University of Adelaide","host_organization_lineage":["https://openalex.org/I5681781"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.springerlink.com/content/05256245773n5t6v/","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":26,"referenced_works":["https://openalex.org/W1480714962","https://openalex.org/W1496099826","https://openalex.org/W1558320420","https://openalex.org/W1560055494","https://openalex.org/W1593038947","https://openalex.org/W1602986186","https://openalex.org/W1968309215","https://openalex.org/W1998683784","https://openalex.org/W2010840867","https://openalex.org/W2020999234","https://openalex.org/W2054658115","https://openalex.org/W2086465792","https://openalex.org/W2098152234","https://openalex.org/W2114487471","https://openalex.org/W2120269846","https://openalex.org/W2155280009","https://openalex.org/W2156273867","https://openalex.org/W2171909264","https://openalex.org/W2737756950","https://openalex.org/W2913192828","https://openalex.org/W2944437997","https://openalex.org/W4233371490","https://openalex.org/W4244769743","https://openalex.org/W4300476846","https://openalex.org/W4302436815","https://openalex.org/W6762689033"],"related_works":["https://openalex.org/W2808944898","https://openalex.org/W4254119641","https://openalex.org/W3196207352","https://openalex.org/W2951724202","https://openalex.org/W3084261076","https://openalex.org/W1996614773","https://openalex.org/W4387820098","https://openalex.org/W2576399385","https://openalex.org/W2963408011","https://openalex.org/W1522196789"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
