{"id":"https://openalex.org/W2898965591","doi":"https://doi.org/10.1137/17m115219x","title":"Primal and Mixed Finite Element Methods for Deformable Image Registration Problems","display_name":"Primal and Mixed Finite Element Methods for Deformable Image Registration Problems","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2898965591","doi":"https://doi.org/10.1137/17m115219x","mag":"2898965591"},"language":"en","primary_location":{"id":"doi:10.1137/17m115219x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m115219x","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","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/A5071780629","display_name":"Nicol\u00e1s A. Barnafi","orcid":"https://orcid.org/0000-0001-9818-0342"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nicol\u00e1s Barnafi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033651093","display_name":"Gabriel N. Gatica","orcid":"https://orcid.org/0000-0002-5550-5431"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gabriel N. Gatica","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5066127710","display_name":"Daniel E. Hurtado","orcid":"https://orcid.org/0000-0001-6261-9106"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Daniel E. Hurtado","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-6261-9106","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8327,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.71449339,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"11","issue":"4","first_page":"2529","last_page":"2567"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9975000023841858,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9975000023841858,"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/T10052","display_name":"Medical Image Segmentation Techniques","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/T11366","display_name":"Elasticity and Material Modeling","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/discretization","display_name":"Discretization","score":0.6826627850532532},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6825617551803589},{"id":"https://openalex.org/keywords/image-registration","display_name":"Image registration","score":0.5667036175727844},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.56330806016922},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5609437823295593},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.549190878868103},{"id":"https://openalex.org/keywords/linear-elasticity","display_name":"Linear elasticity","score":0.5113081932067871},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5006353855133057},{"id":"https://openalex.org/keywords/displacement-field","display_name":"Displacement field","score":0.4981117248535156},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4950034022331238},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4932026267051697},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.43018966913223267},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4298979341983795},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4284685552120209},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4254767894744873},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.35116785764694214},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34643030166625977},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20228832960128784},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1820034682750702}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6826627850532532},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6825617551803589},{"id":"https://openalex.org/C166704113","wikidata":"https://www.wikidata.org/wiki/Q861092","display_name":"Image registration","level":3,"score":0.5667036175727844},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.56330806016922},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5609437823295593},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.549190878868103},{"id":"https://openalex.org/C3161131","wikidata":"https://www.wikidata.org/wiki/Q14097093","display_name":"Linear elasticity","level":3,"score":0.5113081932067871},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5006353855133057},{"id":"https://openalex.org/C29660869","wikidata":"https://www.wikidata.org/wiki/Q5282615","display_name":"Displacement field","level":3,"score":0.4981117248535156},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4950034022331238},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4932026267051697},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.43018966913223267},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4298979341983795},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4284685552120209},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4254767894744873},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.35116785764694214},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34643030166625977},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20228832960128784},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1820034682750702},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/17m115219x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m115219x","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3530952110","display_name":null,"funder_award_id":"1180832","funder_id":"https://openalex.org/F4320335542","funder_display_name":"Fondo Nacional de Desarrollo Cient\u00edfico, Tecnol\u00f3gico y de Innovaci\u00f3n Tecnol\u00f3gica"}],"funders":[{"id":"https://openalex.org/F4320323458","display_name":"Universidad de Chile","ror":"https://ror.org/047gc3g35"},{"id":"https://openalex.org/F4320323717","display_name":"Universidad de Concepci\u00f3n","ror":"https://ror.org/0460jpj73"},{"id":"https://openalex.org/F4320335542","display_name":"Fondo Nacional de Desarrollo Cient\u00edfico, Tecnol\u00f3gico y de Innovaci\u00f3n Tecnol\u00f3gica","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1442753978","https://openalex.org/W1507084921","https://openalex.org/W1573041381","https://openalex.org/W1963605855","https://openalex.org/W1983160407","https://openalex.org/W1991076380","https://openalex.org/W2004028443","https://openalex.org/W2007287914","https://openalex.org/W2007861603","https://openalex.org/W2025180808","https://openalex.org/W2052424080","https://openalex.org/W2064548742","https://openalex.org/W2068130602","https://openalex.org/W2075960401","https://openalex.org/W2092859474","https://openalex.org/W2093252491","https://openalex.org/W2097885173","https://openalex.org/W2099801199","https://openalex.org/W2113576511","https://openalex.org/W2115167851","https://openalex.org/W2123533784","https://openalex.org/W2124257562","https://openalex.org/W2150703185","https://openalex.org/W2170167891","https://openalex.org/W2274200876","https://openalex.org/W2344003093","https://openalex.org/W2597353724","https://openalex.org/W2597612444","https://openalex.org/W2963756161"],"related_works":["https://openalex.org/W4388311650","https://openalex.org/W1974056099","https://openalex.org/W4245343541","https://openalex.org/W2386077341","https://openalex.org/W563589758","https://openalex.org/W5922282","https://openalex.org/W2954004777","https://openalex.org/W2946617917","https://openalex.org/W2592676623","https://openalex.org/W2572699212"],"abstract_inverted_index":{"Deformable":[0],"image":[1,10],"registration":[2,195],"(DIR)":[3],"represent":[4],"a":[5,117],"powerful":[6],"computational":[7],"method":[8],"for":[9,91,101,147,158],"analysis,":[11],"with":[12,96,116],"promising":[13],"applications":[14,42],"in":[15,25,210],"the":[16,26,30,46,53,58,65,73,92,112,124,138,142,148,163,182,205,208,212],"diagnosis":[17],"of":[18,35,43,48,60,69,140,162,178,196,207],"human":[19],"disease.":[20],"Despite":[21],"being":[22],"widely":[23],"used":[24],"medical":[27],"imaging":[28],"community,":[29],"mathematical":[31],"and":[32,67,84,88,130,144,151,174,198,214],"numerical":[33,103],"analysis":[34],"DIR":[36,44,62,93,106],"methods":[37,209],"remain":[38],"understudied.":[39],"Further,":[40],"recent":[41],"include":[45],"quantification":[47],"mechanical":[49],"quantities":[50],"apart":[51],"from":[52,217],"aligning":[54,74],"transformation,":[55],"which":[56],"justifies":[57],"development":[59],"novel":[61],"formulations":[63,90],"where":[64],"accuracy":[66],"convergence":[68,179,190],"fields":[70,216],"other":[71],"than":[72],"transformation":[75],"can":[76],"be":[77],"studied.":[78],"In":[79],"this":[80],"work":[81],"we":[82],"propose":[83],"analyze":[85],"primal,":[86],"mixed,":[87],"augmented":[89,160],"problem,":[94],"together":[95],"their":[97,102,175],"finite-element":[98],"discretization":[99],"schemes":[100,146],"solution.":[104],"The":[105],"variational":[107,153],"problem":[108,115],"is":[109],"equivalent":[110],"to":[111,136,203],"linear":[113],"elasticity":[114],"nonlinear":[118],"source":[119],"term":[120],"that":[121],"depends":[122],"on":[123,181],"unknown":[125],"field.":[126],"Fixed":[127],"point":[128],"arguments":[129],"small":[131],"data":[132],"assumptions":[133],"are":[134,186,201],"employed":[135],"derive":[137],"well-posedness":[139],"both":[141],"continuous":[143],"discrete":[145],"usual":[149],"primal":[150],"mixed":[152],"formulations,":[154],"as":[155,157,192,194],"well":[156,193],"an":[159],"version":[161],"latter.":[164],"A":[165],"priori":[166],"error":[167],"estimates":[168],"derived":[169],"by":[170],"using":[171],"Strang-type":[172],"lemmas,":[173],"associated":[176],"rates":[177],"depending":[180],"corresponding":[183],"approximation":[184],"properties,":[185],"also":[187],"provided.":[188],"Numerical":[189],"tests,":[191],"brain":[197],"lung":[199],"images,":[200],"included":[202],"demonstrate":[204],"applicability":[206],"determining":[211],"displacement":[213],"stress":[215],"DIR.":[218]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
