{"id":"https://openalex.org/W2017392907","doi":"https://doi.org/10.1118/1.3609416","title":"Optimized knot placement for B\u2010splines in deformable image registration","display_name":"Optimized knot placement for B\u2010splines in deformable image registration","publication_year":2011,"publication_date":"2011-07-22","ids":{"openalex":"https://openalex.org/W2017392907","doi":"https://doi.org/10.1118/1.3609416","mag":"2017392907","pmid":"https://pubmed.ncbi.nlm.nih.gov/21928630","pmcid":"https://www.ncbi.nlm.nih.gov/pmc/articles/3172863"},"language":"en","primary_location":{"id":"doi:10.1118/1.3609416","doi":"https://doi.org/10.1118/1.3609416","is_oa":true,"landing_page_url":"https://doi.org/10.1118/1.3609416","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1118/1.3609416","source":{"id":"https://openalex.org/S95522064","display_name":"Medical Physics","issn_l":"0094-2405","issn":["0094-2405","1522-8541","2473-4209"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","doyens","jufo-1","ki-jl-1","medline","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Medical Physics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1118/1.3609416","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007813952","display_name":"T Jacobson","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I184840846","display_name":"Virginia Commonwealth University","ror":"https://ror.org/02nkdxk79","country_code":"US","type":"education","lineage":["https://openalex.org/I184840846"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Travis J. Jacobson","raw_affiliation_strings":["Department of Radiation Oncology, Virginia Commonwealth University, Richmond, Virginia 23298, USA. jacobsontj@vcu.edu","Department of Radiation Oncology, Virginia Commonwealth University, Richmond, Virginia, 23298, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Radiation Oncology, Virginia Commonwealth University, Richmond, Virginia 23298, USA. jacobsontj@vcu.edu","institution_ids":["https://openalex.org/I184840846"]},{"raw_affiliation_string":"Department of Radiation Oncology, Virginia Commonwealth University, Richmond, Virginia, 23298, USA","institution_ids":["https://openalex.org/I184840846"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044115824","display_name":"Martin J. Murphy","orcid":"https://orcid.org/0000-0003-1108-3967","observed_orcids":["https://orcid.org/0000-0003-1108-3967"]},"institutions":[{"id":"https://openalex.org/I184840846","display_name":"Virginia Commonwealth University","ror":"https://ror.org/02nkdxk79","country_code":"US","type":"education","lineage":["https://openalex.org/I184840846"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Martin J. Murphy","raw_affiliation_strings":["Department of Radiation Oncology, Virginia Commonwealth University, Richmond, Virginia 23298"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Radiation Oncology, Virginia Commonwealth University, Richmond, Virginia 23298","institution_ids":["https://openalex.org/I184840846"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5007813952"],"corresponding_institution_ids":["https://openalex.org/I184840846"],"apc_list":{"value":3360,"currency":"USD","value_usd":3360},"apc_paid":null,"fwci":4.1302,"has_fulltext":true,"cited_by_count":26,"citation_normalized_percentile":{"value":0.93659458,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"38","issue":"8","first_page":"4579","last_page":"4582"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.6996999979019165,"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":0.6996999979019165,"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/T10358","display_name":"Advanced Radiotherapy Techniques","score":0.2953999936580658,"subfield":{"id":"https://openalex.org/subfields/3108","display_name":"Radiation"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.0005000000237487257,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nurbs","display_name":"NURBS","score":0.9100000262260437},{"id":"https://openalex.org/keywords/deformable-image-registration","display_name":"deformable image registration","score":0.8360000252723694},{"id":"https://openalex.org/keywords/uniform-b-splines","display_name":"uniform B-splines","score":0.7049999833106995}],"concepts":[{"id":"https://openalex.org/C166704113","wikidata":"https://www.wikidata.org/wiki/Q861092","display_name":"Image registration","level":3,"score":0.8159164190292358},{"id":"https://openalex.org/C2779863119","wikidata":"https://www.wikidata.org/wiki/Q6423048","display_name":"Knot (papermaking)","level":2,"score":0.5854675769805908},{"id":"https://openalex.org/C31601959","wikidata":"https://www.wikidata.org/wiki/Q931309","display_name":"Medical imaging","level":2,"score":0.5412037968635559},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4704671800136566},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.42006075382232666},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4111473560333252},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40540391206741333},{"id":"https://openalex.org/C19527891","wikidata":"https://www.wikidata.org/wiki/Q1120908","display_name":"Medical physics","level":1,"score":0.37653425335884094},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.3463992178440094},{"id":"https://openalex.org/C29694066","wikidata":"https://www.wikidata.org/wiki/Q118301","display_name":"Orthodontics","level":1,"score":0.32775402069091797},{"id":"https://openalex.org/C2989005","wikidata":"https://www.wikidata.org/wiki/Q214963","display_name":"Nuclear medicine","level":1,"score":0.3229714632034302},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.2899295687675476},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09078788757324219},{"id":"https://openalex.org/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","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":"Q000706","qualifier_name":"statistics & numerical data","is_major_topic":true},{"descriptor_ui":"D009068","descriptor_name":"Movement","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013382","descriptor_name":"Subtraction Technique","qualifier_ui":"Q000706","qualifier_name":"statistics & numerical data","is_major_topic":false},{"descriptor_ui":"D055592","descriptor_name":"Biophysical Phenomena","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":3,"locations":[{"id":"doi:10.1118/1.3609416","doi":"https://doi.org/10.1118/1.3609416","is_oa":true,"landing_page_url":"https://doi.org/10.1118/1.3609416","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1118/1.3609416","source":{"id":"https://openalex.org/S95522064","display_name":"Medical Physics","issn_l":"0094-2405","issn":["0094-2405","1522-8541","2473-4209"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","doyens","jufo-1","ki-jl-1","medline","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Medical Physics","raw_type":"journal-article"},{"id":"pmh:oai:pubmedcentral.nih.gov:3172863","doi":null,"is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/3172863","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,"listed_in":[],"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":"Med Phys","raw_type":"Text"},{"id":"pmid:21928630","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/21928630","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,"listed_in":[],"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":"Medical physics","raw_type":"Comparative Study"}],"best_oa_location":{"id":"doi:10.1118/1.3609416","doi":"https://doi.org/10.1118/1.3609416","is_oa":true,"landing_page_url":"https://doi.org/10.1118/1.3609416","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1118/1.3609416","source":{"id":"https://openalex.org/S95522064","display_name":"Medical Physics","issn_l":"0094-2405","issn":["0094-2405","1522-8541","2473-4209"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","doyens","jufo-1","ki-jl-1","medline","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Medical Physics","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"id":"https://metadata.un.org/sdg/16","score":0.7900000214576721,"display_name":"Peace, justice, and strong institutions"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2017392907.pdf","grobid_xml":"https://content.openalex.org/works/W2017392907.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1487936637","https://openalex.org/W1978480579","https://openalex.org/W1998101624","https://openalex.org/W2002188523","https://openalex.org/W2005287028","https://openalex.org/W2039664617","https://openalex.org/W2039843263","https://openalex.org/W2071792593","https://openalex.org/W2071844425","https://openalex.org/W2086054729","https://openalex.org/W2118420236","https://openalex.org/W2136885990","https://openalex.org/W2142568997","https://openalex.org/W2155686036","https://openalex.org/W2171074980","https://openalex.org/W2482737639","https://openalex.org/W4205649593"],"related_works":["https://openalex.org/W2028357477","https://openalex.org/W2089924121","https://openalex.org/W2062249935","https://openalex.org/W1966778763","https://openalex.org/W2594728793","https://openalex.org/W850152477","https://openalex.org/W4362736869","https://openalex.org/W4206068729","https://openalex.org/W2108724379","https://openalex.org/W2139005547"],"abstract_inverted_index":{"PURPOSE:":[0],"To":[1,73],"develop":[2],"an":[3,55,69,239],"automatic":[4],"knot":[5,43,79,83,268],"placement":[6,269],"algorithm":[7,182],"to":[8,28,103,147,185,200,215,242,274,285],"enable":[9],"the":[10,60,75,87,90,94,112,118,128,150,160,164,175,208,217,247,252,272,283],"use":[11],"of":[12,78,89,96,115,140,152,163,219,228,255,262,267],"NonUniform":[13],"Rational":[14],"B-Splines":[15],"(NURBS)":[16],"in":[17,68,245],"deformable":[18],"image":[19],"registration.":[20],"METHODS:":[21],"The":[22,45,132,142,167,181,264],"authors":[23],"developed":[24],"a":[25,30,64,104,124,137,187],"two-step":[26],"approach":[27],"fit":[29,38,50,122,186],"known":[31],"displacement":[32],"vector":[33],"field":[34],"(DVF).":[35],"An":[36],"initial":[37],"was":[39,51,134,145,183],"made":[40,102],"with":[41,205],"uniform":[42,82,129,165,168,206,243],"spacing.":[44],"error":[46,126,162],"generated":[47],"by":[48,136],"this":[49],"then":[52],"assigned":[53],"as":[54,280,282],"attractive":[56,240],"force":[57,67],"pulling":[58],"on":[59],"knots,":[61,117],"acting":[62],"against":[63],"resistive":[65],"spring":[66],"iterative":[70],"equilibration":[71],"scheme.":[72],"demonstrate":[74],"accuracy":[76,133],"gain":[77],"optimization":[80],"over":[81],"placement,":[84],"we":[85],"compared":[86],"sum":[88,218],"squared":[91,220],"errors":[92,153,221,230],"and":[93,226],"frequency":[95],"large":[97,229],"errors.":[98],"RESULTS:":[99],"Fits":[100],"were":[101,212],"one-dimensional":[105],"DVF":[106,189],"using":[107,190],"1-20":[108],"free":[109,116],"knots.":[110],"Given":[111],"same":[113],"number":[114,151,227],"optimized,":[119],"nonuniform":[120],"B-spline":[121,130,144,169,177,210],"produced":[123],"smaller":[125],"than":[127,155],"fit.":[131,166],"improved":[135],"mean":[138,161],"factor":[139],"4.02.":[141],"optimized":[143,176,209],"found":[146,214],"greatly":[148],"reduce":[149,216],"more":[154],"1":[156],"standard":[157],"deviation":[158],"from":[159,196,271],"had":[170,178],"15":[171,201],"such":[172],"errors,":[173],"while":[174,257],"only":[179],"two.":[180],"extended":[184],"two-dimensional":[188],"control":[191,279],"point":[192],"grid":[193],"sizes":[194],"ranging":[195],"8":[197,199],"x":[198,202],"15.":[203],"Compared":[204],"fits,":[207],"fits":[211],"again":[213],"(mean":[222,231],"ratio":[223,232],"=":[224,233],"2.61)":[225],"4.50).":[234],"CONCLUSIONS:":[235],"Nonuniform":[236],"B-splines":[237,244,256],"offer":[238],"alternative":[241],"modeling":[246],"DVF.":[248],"They":[249],"carry":[250],"forward":[251],"mathematical":[253],"compactness":[254],"simultaneously":[258],"introducing":[259],"new":[260],"degrees":[261],"freedom.":[263],"increased":[265,277],"adaptability":[266],"gained":[270],"generalization":[273],"NURBS":[275],"offers":[276],"local":[278],"well":[281],"ability":[284],"explicitly":[286],"represent":[287],"topological":[288],"discontinuities.":[289]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-10-31T12:09:11.096373","created_date":"2016-06-24T00:00:00"}
