{"id":"https://openalex.org/W3165791277","doi":"https://doi.org/10.1109/tmi.2021.3086331","title":"Divergence-Free Constrained Phase Unwrapping and Denoising for 4D Flow MRI Using Weighted Least-Squares","display_name":"Divergence-Free Constrained Phase Unwrapping and Denoising for 4D Flow MRI Using Weighted Least-Squares","publication_year":2021,"publication_date":"2021-06-04","ids":{"openalex":"https://openalex.org/W3165791277","doi":"https://doi.org/10.1109/tmi.2021.3086331","mag":"3165791277","pmid":"https://pubmed.ncbi.nlm.nih.gov/34086567"},"language":"en","primary_location":{"id":"doi:10.1109/tmi.2021.3086331","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmi.2021.3086331","pdf_url":null,"source":{"id":"https://openalex.org/S58069681","display_name":"IEEE Transactions on Medical Imaging","issn_l":"0278-0062","issn":["0278-0062","1558-254X"],"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 Medical Imaging","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/8714458","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100720457","display_name":"Jiacheng Zhang","orcid":"https://orcid.org/0000-0002-9027-6531"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jiacheng Zhang","raw_affiliation_strings":["School of Mechanical Engineering, Purdue University, West Lafayette, IN, USA"],"raw_orcid":"https://orcid.org/0000-0002-9027-6531","affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering, Purdue University, West Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037757999","display_name":"Sean Rothenberger","orcid":"https://orcid.org/0000-0003-1341-6147"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sean M. Rothenberger","raw_affiliation_strings":["Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN, USA"],"raw_orcid":"https://orcid.org/0000-0003-1341-6147","affiliations":[{"raw_affiliation_string":"Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083734056","display_name":"Melissa C. Brindise","orcid":"https://orcid.org/0000-0002-2047-1630"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Melissa C. Brindise","raw_affiliation_strings":["School of Mechanical Engineering, Purdue University, West Lafayette, IN, USA"],"raw_orcid":"https://orcid.org/0000-0002-2047-1630","affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering, Purdue University, West Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101791066","display_name":"Michael Scott","orcid":"https://orcid.org/0000-0001-7160-4248"},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]},{"id":"https://openalex.org/I4210104270","display_name":"McCormick (United States)","ror":"https://ror.org/01ftbgh03","country_code":"US","type":"company","lineage":["https://openalex.org/I4210104270"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael B. Scott","raw_affiliation_strings":["Feinberg School of Medicine, Northwestern University, Chicago, IL, USA","McCormick School of Engineering, Northwestern University, Evanston, IL, USA"],"raw_orcid":"https://orcid.org/0000-0001-7160-4248","affiliations":[{"raw_affiliation_string":"Feinberg School of Medicine, Northwestern University, Chicago, IL, USA","institution_ids":["https://openalex.org/I111979921"]},{"raw_affiliation_string":"McCormick School of Engineering, Northwestern University, Evanston, IL, USA","institution_ids":["https://openalex.org/I111979921","https://openalex.org/I4210104270"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058863955","display_name":"Haben Berhane","orcid":"https://orcid.org/0000-0002-1381-7373"},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Haben Berhane","raw_affiliation_strings":["Feinberg School of Medicine, Northwestern University, Chicago, IL, USA"],"raw_orcid":"https://orcid.org/0000-0002-1381-7373","affiliations":[{"raw_affiliation_string":"Feinberg School of Medicine, Northwestern University, Chicago, IL, USA","institution_ids":["https://openalex.org/I111979921"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007082575","display_name":"Justin Baraboo","orcid":"https://orcid.org/0000-0001-7301-0005"},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Justin J. Baraboo","raw_affiliation_strings":["Feinberg School of Medicine, Northwestern University, Chicago, IL, USA"],"raw_orcid":"https://orcid.org/0000-0001-7301-0005","affiliations":[{"raw_affiliation_string":"Feinberg School of Medicine, Northwestern University, Chicago, IL, USA","institution_ids":["https://openalex.org/I111979921"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044152080","display_name":"Michael Markl","orcid":"https://orcid.org/0000-0002-7686-1128"},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]},{"id":"https://openalex.org/I4210104270","display_name":"McCormick (United States)","ror":"https://ror.org/01ftbgh03","country_code":"US","type":"company","lineage":["https://openalex.org/I4210104270"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Markl","raw_affiliation_strings":["Feinberg School of Medicine, Northwestern University, Chicago, IL, USA","McCormick School of Engineering, Northwestern University, Evanston, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Feinberg School of Medicine, Northwestern University, Chicago, IL, USA","institution_ids":["https://openalex.org/I111979921"]},{"raw_affiliation_string":"McCormick School of Engineering, Northwestern University, Evanston, IL, USA","institution_ids":["https://openalex.org/I111979921","https://openalex.org/I4210104270"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011960650","display_name":"Vitaliy L. Rayz","orcid":"https://orcid.org/0000-0001-5615-3063"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vitaliy L. Rayz","raw_affiliation_strings":["School of Mechanical Engineering, Purdue University, West Lafayette, IN, USA","Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering, Purdue University, West Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036194518","display_name":"Pavlos P. Vlachos","orcid":"https://orcid.org/0000-0002-8040-9257"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pavlos P. Vlachos","raw_affiliation_strings":["School of Mechanical Engineering, Purdue University, West Lafayette, IN, USA","Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN, USA"],"raw_orcid":"https://orcid.org/0000-0002-8040-9257","affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering, Purdue University, West Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":9,"corresponding_author_ids":["https://openalex.org/A5100720457"],"corresponding_institution_ids":["https://openalex.org/I219193219"],"apc_list":null,"apc_paid":null,"fwci":1.068,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.78905783,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"40","issue":"12","first_page":"3389","last_page":"3399"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9965000152587891,"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":0.9965000152587891,"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/T10378","display_name":"Advanced MRI Techniques and Applications","score":0.9954000115394592,"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/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9902999997138977,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.5927748084068298},{"id":"https://openalex.org/keywords/phase-unwrapping","display_name":"Phase unwrapping","score":0.590652346611023},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.5716346502304077},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.46461379528045654},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.44347167015075684},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4373036324977875},{"id":"https://openalex.org/keywords/image-denoising","display_name":"Image denoising","score":0.42399293184280396},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.4213936924934387},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3850553035736084},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3566818833351135},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35492396354675293},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1963019073009491},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12761756777763367},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.11976698040962219},{"id":"https://openalex.org/keywords/interferometry","display_name":"Interferometry","score":0.10404086112976074}],"concepts":[{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.5927748084068298},{"id":"https://openalex.org/C3020654733","wikidata":"https://www.wikidata.org/wiki/Q6038852","display_name":"Phase unwrapping","level":3,"score":0.590652346611023},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.5716346502304077},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.46461379528045654},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.44347167015075684},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4373036324977875},{"id":"https://openalex.org/C2983327147","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Image denoising","level":3,"score":0.42399293184280396},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4213936924934387},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3850553035736084},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3566818833351135},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35492396354675293},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1963019073009491},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12761756777763367},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.11976698040962219},{"id":"https://openalex.org/C166689943","wikidata":"https://www.wikidata.org/wiki/Q850283","display_name":"Interferometry","level":2,"score":0.10404086112976074},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000090502","descriptor_name":"Phase Variation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000090502","descriptor_name":"Phase Variation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000090502","descriptor_name":"Phase Variation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001783","descriptor_name":"Blood Flow Velocity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001783","descriptor_name":"Blood Flow Velocity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001783","descriptor_name":"Blood Flow Velocity","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":"D008279","descriptor_name":"Magnetic Resonance Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008279","descriptor_name":"Magnetic Resonance Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008279","descriptor_name":"Magnetic Resonance Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019047","descriptor_name":"Phantoms, Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019047","descriptor_name":"Phantoms, Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019047","descriptor_name":"Phantoms, Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D021621","descriptor_name":"Imaging, Three-Dimensional","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D021621","descriptor_name":"Imaging, Three-Dimensional","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D021621","descriptor_name":"Imaging, Three-Dimensional","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":3,"locations":[{"id":"doi:10.1109/tmi.2021.3086331","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmi.2021.3086331","pdf_url":null,"source":{"id":"https://openalex.org/S58069681","display_name":"IEEE Transactions on Medical Imaging","issn_l":"0278-0062","issn":["0278-0062","1558-254X"],"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 Medical Imaging","raw_type":"journal-article"},{"id":"pmid:34086567","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34086567","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 medical imaging","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:8714458","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/8714458","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Trans Med Imaging","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:pubmedcentral.nih.gov:8714458","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/8714458","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Trans Med Imaging","raw_type":"Text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3199691419","display_name":null,"funder_award_id":"T32EB025766","funder_id":"https://openalex.org/F4320337363","funder_display_name":"National Institute of Biomedical Imaging and Bioengineering"},{"id":"https://openalex.org/G5362198823","display_name":null,"funder_award_id":"R01 HL115267","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G8491762067","display_name":null,"funder_award_id":"R21 NS106696","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"}],"funders":[{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320337363","display_name":"National Institute of Biomedical Imaging and Bioengineering","ror":"https://ror.org/00372qc85"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W1146669903","https://openalex.org/W1596760013","https://openalex.org/W1605096437","https://openalex.org/W1773892204","https://openalex.org/W1863930852","https://openalex.org/W1942198708","https://openalex.org/W1966627774","https://openalex.org/W1975091618","https://openalex.org/W1976212986","https://openalex.org/W1980813511","https://openalex.org/W1982138035","https://openalex.org/W1983210222","https://openalex.org/W1993022815","https://openalex.org/W1994976874","https://openalex.org/W2003717144","https://openalex.org/W2004789423","https://openalex.org/W2013778198","https://openalex.org/W2014938866","https://openalex.org/W2022215389","https://openalex.org/W2037848775","https://openalex.org/W2044039107","https://openalex.org/W2054474348","https://openalex.org/W2068859764","https://openalex.org/W2069444004","https://openalex.org/W2074626656","https://openalex.org/W2097897435","https://openalex.org/W2104802194","https://openalex.org/W2112795878","https://openalex.org/W2119279770","https://openalex.org/W2123404535","https://openalex.org/W2130856855","https://openalex.org/W2131752914","https://openalex.org/W2131877057","https://openalex.org/W2139917231","https://openalex.org/W2151210608","https://openalex.org/W2158513652","https://openalex.org/W2165461692","https://openalex.org/W2168507589","https://openalex.org/W2181247682","https://openalex.org/W2290750561","https://openalex.org/W2583860532","https://openalex.org/W2606513458","https://openalex.org/W2748021898","https://openalex.org/W2767568244","https://openalex.org/W2885336960","https://openalex.org/W2894077863","https://openalex.org/W2901771684","https://openalex.org/W2943887789","https://openalex.org/W2972675684","https://openalex.org/W2989662290","https://openalex.org/W3010725820","https://openalex.org/W3016010096","https://openalex.org/W4232552111","https://openalex.org/W4244146798","https://openalex.org/W6679555622"],"related_works":["https://openalex.org/W2895947835","https://openalex.org/W2087258800","https://openalex.org/W2810018092","https://openalex.org/W2387428419","https://openalex.org/W2098237619","https://openalex.org/W1974034585","https://openalex.org/W2386722878","https://openalex.org/W2353444452","https://openalex.org/W2001438600","https://openalex.org/W2499707420"],"abstract_inverted_index":{"A":[0],"novel":[1],"divergence-free":[2,36,200],"constrained":[3,201],"phase":[4,17,24,30,50,59,110,208],"unwrapping":[5,209,220],"method":[6,54,75,98,118,172,202],"was":[7,19,42,55,76,99],"proposed":[8,53,97,117,171],"and":[9,46,65,135,183,205,210,216],"evaluated":[10],"for":[11,38,119],"4D":[12,68,82,104,223],"flow":[13,41,64,69,83,146,224],"MRI.":[14],"The":[15,35,52,74,93,108,142,199],"unwrapped":[16,114,150],"field":[18],"obtained":[20],"by":[21,115,178,189,219],"integrating":[22],"the":[23,28,48,86,96,102,116,121,132,156,160,170,175,185,196,221],"variations":[25],"estimated":[26],"from":[27,89],"wrapped":[29],"data":[31,60,111,147],"using":[32],"weighted":[33],"least-squares.":[34],"constraint":[37],"incompressible":[39],"blood":[40],"incorporated":[43],"to":[44,79,101,195],"regulate":[45],"denoise":[47],"resulting":[49],"field.":[51],"tested":[56],"on":[57,207],"synthetic":[58,109],"of":[61,71,95,131,192,214],"left":[62],"ventricular":[63],"in":[66,80,85,143,155],"vitro":[67,144],"measurement":[70],"Poiseuille":[72,145],"flow.":[73],"additionally":[77],"applied":[78],"vivo":[81],"measurements":[84],"thoracic":[87],"aorta":[88],"30":[90],"human":[91],"subjects.":[92],"performance":[94],"compared":[100,194],"state-of-the-art":[103,197],"single-step":[105],"Laplacian":[106],"algorithm.":[107],"were":[112,148],"completely":[113,149],"all":[120],"cases":[122],"with":[123,151,164],"velocity":[124,134,186,215],"encoding":[125],"(venc)":[126],"as":[127,129,138,140,179,181],"low":[128,139],"20%":[130],"maximum":[133],"signal-to-noise":[136],"ratio":[137,166],"5.":[141],"a":[152,190],"60%":[153],"increase":[154],"velocity-to-noise":[157],"ratio.":[158],"For":[159],"in-vivo":[161],"aortic":[162],"datasets":[163],"venc":[165],"less":[167],"than":[168],"0.4,":[169],"significantly":[173],"improved":[174,212],"success":[176],"rate":[177],"much":[180],"40%":[182],"reduced":[184],"error":[187],"levels":[188],"factor":[191],"10":[193],"method.":[198],"exhibits":[203],"reliability":[204],"robustness":[206],"shows":[211],"accuracy":[213],"hemodynamic":[217],"quantities":[218],"low-venc":[222],"MRI":[225],"data.":[226]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
