{"id":"https://openalex.org/W2083184936","doi":"https://doi.org/10.1109/tip.2012.2199325","title":"Magnification of Label Maps With a Topology-Preserving Level-Set Method","display_name":"Magnification of Label Maps With a Topology-Preserving Level-Set Method","publication_year":2012,"publication_date":"2012-05-24","ids":{"openalex":"https://openalex.org/W2083184936","doi":"https://doi.org/10.1109/tip.2012.2199325","mag":"2083184936","pmid":"https://pubmed.ncbi.nlm.nih.gov/22614645"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2012.2199325","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2012.2199325","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Image Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5057739131","display_name":"Dennis Trede","orcid":null},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Dennis Trede","raw_affiliation_strings":["Zentrum f\u00fcr Technomathematik, Universit\u00e4t Bremen, Bremen D-28359, Germany. trede@math.uni-bremen.de","Zentrum fur Technomathematik, Universit\u00e4t Bremen, Bremen, Germany"],"affiliations":[{"raw_affiliation_string":"Zentrum f\u00fcr Technomathematik, Universit\u00e4t Bremen, Bremen D-28359, Germany. trede@math.uni-bremen.de","institution_ids":["https://openalex.org/I180437899"]},{"raw_affiliation_string":"Zentrum fur Technomathematik, Universit\u00e4t Bremen, Bremen, Germany","institution_ids":["https://openalex.org/I180437899"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023802736","display_name":"Theodore Alexandrov","orcid":"https://orcid.org/0000-0001-9464-6125"},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Theodore Alexandrov","raw_affiliation_strings":["Zentrum f\u00fcr Technomathematik, Universit\u00e4t Bremen, Bremen, Germany","Zentrum fur Technomathematik, Universit\u00e4t Bremen, Bremen, Germany"],"affiliations":[{"raw_affiliation_string":"Zentrum f\u00fcr Technomathematik, Universit\u00e4t Bremen, Bremen, Germany","institution_ids":["https://openalex.org/I180437899"]},{"raw_affiliation_string":"Zentrum fur Technomathematik, Universit\u00e4t Bremen, Bremen, Germany","institution_ids":["https://openalex.org/I180437899"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047049214","display_name":"Chen Sagiv","orcid":null},"institutions":[{"id":"https://openalex.org/I4210088571","display_name":"Sagivtech (Israel)","ror":"https://ror.org/009jr9909","country_code":"IL","type":"company","lineage":["https://openalex.org/I4210088571"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Chen Sagiv","raw_affiliation_strings":["SagivTech Ltd., Ra\u00e1nana, Israel"],"affiliations":[{"raw_affiliation_string":"SagivTech Ltd., Ra\u00e1nana, Israel","institution_ids":["https://openalex.org/I4210088571"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018483872","display_name":"Peter Maa\u00df","orcid":"https://orcid.org/0000-0003-1448-8345"},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Peter Maass","raw_affiliation_strings":["Zentrum f\u00fcr Technomathematik, Universit\u00e4t Bremen, Bremen, Germany","Zentrum fur Technomathematik, Universit\u00e4t Bremen, Bremen, Germany"],"affiliations":[{"raw_affiliation_string":"Zentrum f\u00fcr Technomathematik, Universit\u00e4t Bremen, Bremen, Germany","institution_ids":["https://openalex.org/I180437899"]},{"raw_affiliation_string":"Zentrum fur Technomathematik, Universit\u00e4t Bremen, Bremen, Germany","institution_ids":["https://openalex.org/I180437899"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5057739131"],"corresponding_institution_ids":["https://openalex.org/I180437899"],"apc_list":null,"apc_paid":null,"fwci":0.2745,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.58929404,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"21","issue":"9","first_page":"4040","last_page":"4053"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9988999962806702,"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":0.9988999962806702,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9966999888420105,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9961000084877014,"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/pixel","display_name":"Pixel","score":0.6210957169532776},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5423252582550049},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5222119688987732},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"Image segmentation","score":0.5131331086158752},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.4879583716392517},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.4267067313194275},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.42569848895072937},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4145013988018036},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.40351614356040955},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3986204266548157},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.39752379059791565},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.38971686363220215},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3591424226760864},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.2951694130897522}],"concepts":[{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.6210957169532776},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5423252582550049},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5222119688987732},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.5131331086158752},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.4879583716392517},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.4267067313194275},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.42569848895072937},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4145013988018036},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.40351614356040955},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3986204266548157},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.39752379059791565},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.38971686363220215},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3591424226760864},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.2951694130897522},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tip.2012.2199325","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2012.2199325","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Image Processing","raw_type":"journal-article"},{"id":"pmid:22614645","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/22614645","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on image processing : a publication of the IEEE Signal Processing Society","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":68,"referenced_works":["https://openalex.org/W145616578","https://openalex.org/W806261972","https://openalex.org/W1552869711","https://openalex.org/W1563853427","https://openalex.org/W1596031452","https://openalex.org/W1598228776","https://openalex.org/W1604679511","https://openalex.org/W1678480097","https://openalex.org/W1903656841","https://openalex.org/W1910615622","https://openalex.org/W1967329996","https://openalex.org/W1967441049","https://openalex.org/W1970687769","https://openalex.org/W1974681473","https://openalex.org/W1977946246","https://openalex.org/W1983614167","https://openalex.org/W1987579928","https://openalex.org/W1991018729","https://openalex.org/W1991113069","https://openalex.org/W2006953357","https://openalex.org/W2006953559","https://openalex.org/W2016860730","https://openalex.org/W2040580240","https://openalex.org/W2047555580","https://openalex.org/W2048147566","https://openalex.org/W2053194585","https://openalex.org/W2055448925","https://openalex.org/W2057720927","https://openalex.org/W2058523468","https://openalex.org/W2061398022","https://openalex.org/W2098987432","https://openalex.org/W2099880465","https://openalex.org/W2102668929","https://openalex.org/W2115176813","https://openalex.org/W2115397390","https://openalex.org/W2115725261","https://openalex.org/W2116337048","https://openalex.org/W2116633244","https://openalex.org/W2127401436","https://openalex.org/W2131262506","https://openalex.org/W2133292916","https://openalex.org/W2139383790","https://openalex.org/W2140691054","https://openalex.org/W2143501283","https://openalex.org/W2144133758","https://openalex.org/W2149184914","https://openalex.org/W2155082219","https://openalex.org/W2157464452","https://openalex.org/W2163480287","https://openalex.org/W2170965888","https://openalex.org/W2181991186","https://openalex.org/W2295936755","https://openalex.org/W2312470061","https://openalex.org/W2332972329","https://openalex.org/W2534320940","https://openalex.org/W3137074406","https://openalex.org/W3211330693","https://openalex.org/W4241029504","https://openalex.org/W4255267801","https://openalex.org/W4285719527","https://openalex.org/W4302436815","https://openalex.org/W6605948852","https://openalex.org/W6633541420","https://openalex.org/W6637413767","https://openalex.org/W6642029968","https://openalex.org/W6677304453","https://openalex.org/W6683171177","https://openalex.org/W6685974222"],"related_works":["https://openalex.org/W2085033728","https://openalex.org/W4285411112","https://openalex.org/W2171299904","https://openalex.org/W1647606319","https://openalex.org/W4390494008","https://openalex.org/W2922442631","https://openalex.org/W2053596378","https://openalex.org/W2168523118","https://openalex.org/W1998512593","https://openalex.org/W1522196789"],"abstract_inverted_index":{"Image":[0],"segmentation":[1,23],"aims":[2],"at":[3],"partitioning":[4],"an":[5,224],"image":[6,185],"into":[7],"multiple":[8],"segments.":[9],"The":[10,103,150,172,192,214],"application":[11],"of":[12,29,57,73,106,129,138,153,183,217,234],"this":[13,90],"procedure":[14],"produces":[15],"a":[16,55,74,81,94,160,169,207,228],"label":[17,38,49,75,98,139,237],"map":[18,76,84,140,238],"(also":[19],"referred":[20],"to":[21,35,86,158,222],"as":[22,45,54,64],"map)":[24],"that":[25,110,121,260],"classifies":[26],"the":[27,30,58,70,113,116,127,136,148,154,165,180,189,218,232,235,244,255,261,268],"pixels":[28],"original":[31,71,236],"image.":[32],"In":[33,67,89],"contrast":[34],"\"natural\"":[36],"images,":[37,42],"maps":[39,50,99],"are":[40],"nominal-scale":[41],"typically":[43],"represented":[44],"integer-valued":[46],"images.":[47,102],"Nominal-scaled":[48],"can":[51,253],"also":[52],"appear":[53],"representation":[56],"raw":[59],"data":[60],"in":[61,65,147,226],"areas,":[62],"such":[63],"geostatistics.":[66],"some":[68],"applications,":[69],"resolution":[72],"does":[77,203],"not":[78,143,204,264],"suffice":[79],"and":[80,100,187,209],"larger":[82],"size":[83],"has":[85,142],"be":[87,223,240,265],"generated.":[88],"paper,":[91],"we":[92],"present":[93],"magnification":[95,117,141,269],"algorithm":[96],"for":[97,198],"nominal":[101],"main":[104,151],"property":[105],"our":[107,130,199],"method":[108,156,173,194,258],"is":[109,157,195,211],"it":[111,202,210],"preserves":[112],"topology":[114,233,262],"during":[115],"process,":[118],"which":[119],"means":[120],"no":[122],"isolated":[123],"pixel":[124],"vanishes.":[125],"To":[126],"best":[128],"knowledge,":[131],"apart":[132],"from":[133,249],"nearest-neighbor":[134],"interpolation,":[135],"problem":[137],"previously":[144],"been":[145],"addressed":[146],"literature.":[149],"idea":[152],"proposed":[155],"accomplish":[159],"boundary":[161],"refinement":[162],"by":[163],"smoothing":[164],"regions'":[166],"boundaries":[167],"on":[168,175,206],"finer":[170],"grid.":[171],"relies":[174],"well":[176,196],"known":[177],"methods,":[178],"namely,":[179],"fundamental":[181],"operations":[182],"morphological":[184],"processing-erosion":[186],"dilation-and":[188],"level-set":[190,193,219,257],"method.":[191],"suited":[197],"purposes":[200],"since":[201,231],"depend":[205],"parametrization":[208],"numerically":[212],"stable.":[213],"topological":[215],"flexibility":[216],"method-often":[220],"found":[221],"advantage":[225],"applications-is":[227],"drawback":[229],"here,":[230],"should":[239],"preserved.":[241],"However,":[242],"using":[243],"so-called":[245],"simple":[246],"point":[247],"criterion":[248],"digital":[250],"topology,":[251],"one":[252],"adapt":[254],"conventional":[256],"so":[259],"will":[263],"modified":[266],"throughout":[267],"procedure.":[270]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-02-24T08:05:00.420983","created_date":"2025-10-10T00:00:00"}
