{"id":"https://openalex.org/W2140878114","doi":"https://doi.org/10.1109/tbme.2010.2089456","title":"Sparse Reconstruction of Breast MRI Using Homotopic <formula formulatype=\"inline\"><tex Notation=\"TeX\">$L_0$</tex></formula> Minimization in a Regional Sparsified Domain","display_name":"Sparse Reconstruction of Breast MRI Using Homotopic <formula formulatype=\"inline\"><tex Notation=\"TeX\">$L_0$</tex></formula> Minimization in a Regional Sparsified Domain","publication_year":2010,"publication_date":"2010-10-27","ids":{"openalex":"https://openalex.org/W2140878114","doi":"https://doi.org/10.1109/tbme.2010.2089456","mag":"2140878114","pmid":"https://pubmed.ncbi.nlm.nih.gov/23512112"},"language":"en","primary_location":{"id":"doi:10.1109/tbme.2010.2089456","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tbme.2010.2089456","pdf_url":null,"source":{"id":"https://openalex.org/S5240358","display_name":"IEEE Transactions on Biomedical Engineering","issn_l":"0018-9294","issn":["0018-9294","1558-2531"],"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 Biomedical Engineering","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/A5102920751","display_name":"Alexander Wong","orcid":"https://orcid.org/0000-0001-5729-5899"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"A. Wong","raw_affiliation_strings":["Systems Design Engineering, University of Waterloo, Waterloo, ON, Canada. a28wong@engmail.uwaterloo.ca","Systems Design Engineering, University of Waterloo Waterloo, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Systems Design Engineering, University of Waterloo, Waterloo, ON, Canada. a28wong@engmail.uwaterloo.ca","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"Systems Design Engineering, University of Waterloo Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008880502","display_name":"Akshaya Mishra","orcid":"https://orcid.org/0000-0002-4153-7598"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"A. Mishra","raw_affiliation_strings":["Read-Ink Technology Pvt Limited, Bangalore, India","Systems Design Engineering, University of Waterloo Waterloo, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Read-Ink Technology Pvt Limited, Bangalore, India","institution_ids":[]},{"raw_affiliation_string":"Systems Design Engineering, University of Waterloo Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078015739","display_name":"Paul Fieguth","orcid":"https://orcid.org/0000-0001-7260-2260"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]},{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["CA","DE"],"is_corresponding":false,"raw_author_name":"P. Fieguth","raw_affiliation_strings":["University of Heidelberg, Germany","Systems Design Engineering, University of Waterloo Waterloo, ON, Canada"],"affiliations":[{"raw_affiliation_string":"University of Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]},{"raw_affiliation_string":"Systems Design Engineering, University of Waterloo Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066149942","display_name":"David A. Clausi","orcid":"https://orcid.org/0000-0002-6383-0875"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"D. A. Clausi","raw_affiliation_strings":["University of Waterloo, Waterloo, ON, CA","Systems Design Engineering, University of Waterloo Waterloo, ON, Canada"],"affiliations":[{"raw_affiliation_string":"University of Waterloo, Waterloo, ON, CA","institution_ids":[]},{"raw_affiliation_string":"Systems Design Engineering, University of Waterloo Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5102920751"],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":null,"apc_paid":null,"fwci":1.694,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.85008401,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"60","issue":"3","first_page":"743","last_page":"752"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10378","display_name":"Advanced MRI Techniques and Applications","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.6892298460006714},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.6212509870529175},{"id":"https://openalex.org/keywords/nyquist\u2013shannon-sampling-theorem","display_name":"Nyquist\u2013Shannon sampling theorem","score":0.5654433369636536},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5151206851005554},{"id":"https://openalex.org/keywords/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.5096004009246826},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.43685969710350037},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41199013590812683},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3955112397670746},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37302500009536743},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3711588978767395},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.26026278734207153}],"concepts":[{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.6892298460006714},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.6212509870529175},{"id":"https://openalex.org/C288623","wikidata":"https://www.wikidata.org/wiki/Q679800","display_name":"Nyquist\u2013Shannon sampling theorem","level":2,"score":0.5654433369636536},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5151206851005554},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.5096004009246826},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.43685969710350037},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41199013590812683},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3955112397670746},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37302500009536743},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3711588978767395},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.26026278734207153},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D001940","descriptor_name":"Breast","qualifier_ui":"Q000033","qualifier_name":"anatomy & histology","is_major_topic":true},{"descriptor_ui":"D001940","descriptor_name":"Breast","qualifier_ui":"Q000033","qualifier_name":"anatomy & histology","is_major_topic":true},{"descriptor_ui":"D001940","descriptor_name":"Breast","qualifier_ui":"Q000033","qualifier_name":"anatomy & histology","is_major_topic":true},{"descriptor_ui":"D001940","descriptor_name":"Breast","qualifier_ui":"Q000473","qualifier_name":"pathology","is_major_topic":true},{"descriptor_ui":"D001940","descriptor_name":"Breast","qualifier_ui":"Q000473","qualifier_name":"pathology","is_major_topic":true},{"descriptor_ui":"D001940","descriptor_name":"Breast","qualifier_ui":"Q000473","qualifier_name":"pathology","is_major_topic":true},{"descriptor_ui":"D001943","descriptor_name":"Breast Neoplasms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001943","descriptor_name":"Breast Neoplasms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001943","descriptor_name":"Breast Neoplasms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005260","descriptor_name":"Female","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005260","descriptor_name":"Female","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005260","descriptor_name":"Female","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005583","descriptor_name":"Fourier Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005583","descriptor_name":"Fourier Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005583","descriptor_name":"Fourier Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D008279","descriptor_name":"Magnetic Resonance Imaging","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D008279","descriptor_name":"Magnetic Resonance Imaging","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D008279","descriptor_name":"Magnetic Resonance Imaging","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D016208","descriptor_name":"Databases, Factual","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016208","descriptor_name":"Databases, Factual","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016208","descriptor_name":"Databases, Factual","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D059629","descriptor_name":"Signal-To-Noise Ratio","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D059629","descriptor_name":"Signal-To-Noise Ratio","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D059629","descriptor_name":"Signal-To-Noise Ratio","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":3,"locations":[{"id":"doi:10.1109/tbme.2010.2089456","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tbme.2010.2089456","pdf_url":null,"source":{"id":"https://openalex.org/S5240358","display_name":"IEEE Transactions on Biomedical Engineering","issn_l":"0018-9294","issn":["0018-9294","1558-2531"],"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 Biomedical Engineering","raw_type":"journal-article"},{"id":"pmid:23512112","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/23512112","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 bio-medical engineering","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.412.6887","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.412.6887","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.eng.uwaterloo.ca/~dclausi/Papers/Published Pending/breastrecon_submitv3_draft.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4099999964237213,"id":"https://metadata.un.org/sdg/5","display_name":"Gender equality"},{"score":0.4000000059604645,"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W186085407","https://openalex.org/W1964538931","https://openalex.org/W1965156666","https://openalex.org/W1971571088","https://openalex.org/W2017399967","https://openalex.org/W2038649727","https://openalex.org/W2060945009","https://openalex.org/W2065113098","https://openalex.org/W2091719438","https://openalex.org/W2096663717","https://openalex.org/W2100404464","https://openalex.org/W2101675075","https://openalex.org/W2103559027","https://openalex.org/W2104144129","https://openalex.org/W2106263593","https://openalex.org/W2107861471","https://openalex.org/W2109449402","https://openalex.org/W2117700900","https://openalex.org/W2118955505","https://openalex.org/W2126894036","https://openalex.org/W2130565196","https://openalex.org/W2132122471","https://openalex.org/W2145020729","https://openalex.org/W2145096794","https://openalex.org/W2148232185","https://openalex.org/W2158928439","https://openalex.org/W2160637922","https://openalex.org/W2167577940","https://openalex.org/W2170388663","https://openalex.org/W2296616510","https://openalex.org/W3022380717","https://openalex.org/W4235358177","https://openalex.org/W4235749965","https://openalex.org/W4240176866","https://openalex.org/W4250955649","https://openalex.org/W6607493213","https://openalex.org/W6678979411"],"related_works":["https://openalex.org/W2390693987","https://openalex.org/W2054503501","https://openalex.org/W4297666103","https://openalex.org/W2781805183","https://openalex.org/W3142184949","https://openalex.org/W2497512603","https://openalex.org/W3029251452","https://openalex.org/W2208932071","https://openalex.org/W2071548530","https://openalex.org/W2006987799"],"abstract_inverted_index":{"The":[0],"use":[1,101,125],"of":[2,10,50,71,102,111,160],"MRI":[3,162,181],"for":[4,91,124,132,151],"early":[5],"breast":[6,134,161,180],"examination":[7],"and":[8,36,61,154],"screening":[9],"asymptomatic":[11],"women":[12],"has":[13],"become":[14],"increasing":[15],"popular,":[16],"given":[17],"its":[18],"ability":[19],"to":[20,188],"provide":[21],"detailed":[22],"tissue":[23],"characteristics":[24,140],"that":[25,47,157,178],"cannot":[26],"be":[27,65,185],"obtained":[28],"using":[29,82],"other":[30],"imaging":[31],"modalities":[32],"such":[33,63,103],"as":[34,62],"mammography":[35],"ultrasound.":[37],"Recent":[38],"application-oriented":[39],"developments":[40],"in":[41,57,99],"compressed":[42],"sensing":[43],"theory":[44],"have":[45],"shown":[46],"certain":[48],"types":[49],"magnetic":[51],"resonance":[52],"images":[53],"are":[54,158],"inherently":[55],"sparse":[56],"particular":[58],"transform":[59,121,147],"domains,":[60],"can":[64,148,184],"reconstructed":[66],"with":[67],"a":[68,117,127],"high":[69],"level":[70],"accuracy":[72,183],"from":[73],"highly":[74],"undersampled":[75],"k-space":[76],"data":[77],"below":[78],"Nyquist":[79],"sampling":[80],"rates":[81],"homotopic":[83,104,128],"L0":[84,105,129],"minimization":[85,106,130],"schemes,":[86],"which":[87],"holds":[88],"great":[89],"potential":[90],"significantly":[92],"reducing":[93],"acquisition":[94],"time.":[95],"An":[96],"important":[97],"consideration":[98],"the":[100,109,143,164],"schemes":[107],"is":[108,122],"choice":[110],"sparsifying":[112,120,146],"transform.":[113],"In":[114],"this":[115],"paper,":[116],"regional":[118,139,144],"differential":[119,145,167],"investigated":[123],"within":[126],"framework":[131],"reconstructing":[133],"MRI.":[135],"By":[136],"taking":[137],"local":[138],"into":[141],"account,":[142],"better":[149],"account":[150],"signal":[152],"variations":[153],"fine":[155],"details":[156],"characteristic":[159],"than":[163],"popular":[165],"finite":[166],"transform,":[168],"while":[169],"still":[170],"maintaining":[171],"strong":[172],"structure":[173],"fidelity.":[174],"Experimental":[175],"results":[176],"show":[177],"good":[179],"reconstruction":[182],"achieved":[186],"compared":[187],"existing":[189],"methods.":[190]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-01-13T01:12:25.745995","created_date":"2016-06-24T00:00:00"}