{"id":"https://openalex.org/W2068130602","doi":"https://doi.org/10.1137/110835955","title":"A Hyperelastic Regularization Energy for Image Registration","display_name":"A Hyperelastic Regularization Energy for Image Registration","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2068130602","doi":"https://doi.org/10.1137/110835955","mag":"2068130602"},"language":"en","primary_location":{"id":"doi:10.1137/110835955","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110835955","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","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/A5069220813","display_name":"Martin Burger","orcid":"https://orcid.org/0000-0003-2619-2912"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Martin Burger","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074060460","display_name":"Jan Modersitzki","orcid":"https://orcid.org/0000-0003-2337-389X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jan Modersitzki","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5076591073","display_name":"Lars Ruthotto","orcid":"https://orcid.org/0000-0003-0803-3299"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lars Ruthotto","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5069220813"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.7403,"has_fulltext":false,"cited_by_count":154,"citation_normalized_percentile":{"value":0.97732144,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"35","issue":"1","first_page":"B132","last_page":"B148"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9987999796867371,"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":0.9987999796867371,"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/T10522","display_name":"Medical Imaging 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/T11366","display_name":"Elasticity and Material Modeling","score":0.9948999881744385,"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/hyperelastic-material","display_name":"Hyperelastic material","score":0.9876238703727722},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7363855838775635},{"id":"https://openalex.org/keywords/image-registration","display_name":"Image registration","score":0.6627964377403259},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.631747841835022},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5539330244064331},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4056055545806885},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.37221813201904297},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33960217237472534},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33594226837158203},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3309592604637146},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.253638356924057},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.23217394948005676},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19729462265968323}],"concepts":[{"id":"https://openalex.org/C147370603","wikidata":"https://www.wikidata.org/wiki/Q3801506","display_name":"Hyperelastic material","level":3,"score":0.9876238703727722},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7363855838775635},{"id":"https://openalex.org/C166704113","wikidata":"https://www.wikidata.org/wiki/Q861092","display_name":"Image registration","level":3,"score":0.6627964377403259},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.631747841835022},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5539330244064331},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4056055545806885},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.37221813201904297},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33960217237472534},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33594226837158203},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3309592604637146},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.253638356924057},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.23217394948005676},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19729462265968323},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/110835955","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110835955","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:fraunhofer.de:N-229213","is_oa":false,"landing_page_url":"http://publica.fraunhofer.de/documents/N-229213.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400801","display_name":"Publikationsdatenbank der Fraunhofer-Gesellschaft (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fraunhofer MEVIS","raw_type":"Journal Article"},{"id":"pmh:oai:publica.fraunhofer.de:publica/231721","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/231721","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1524894299","https://openalex.org/W1537639429","https://openalex.org/W1564699816","https://openalex.org/W1572544957","https://openalex.org/W1578422977","https://openalex.org/W1579634341","https://openalex.org/W1874027545","https://openalex.org/W1972126030","https://openalex.org/W1976129499","https://openalex.org/W1983050445","https://openalex.org/W1990804363","https://openalex.org/W2026414333","https://openalex.org/W2042941801","https://openalex.org/W2045696825","https://openalex.org/W2056226026","https://openalex.org/W2069787465","https://openalex.org/W2074576379","https://openalex.org/W2080708825","https://openalex.org/W2082784027","https://openalex.org/W2088703872","https://openalex.org/W2093252491","https://openalex.org/W2101333585","https://openalex.org/W2113446415","https://openalex.org/W2123723083","https://openalex.org/W2133584444","https://openalex.org/W2139115490","https://openalex.org/W2140139548","https://openalex.org/W2147555557","https://openalex.org/W2148262800","https://openalex.org/W2156875677","https://openalex.org/W2158167845","https://openalex.org/W2160367117","https://openalex.org/W2182129248","https://openalex.org/W2296301307","https://openalex.org/W2316564661","https://openalex.org/W2499411512","https://openalex.org/W2544304336","https://openalex.org/W2889695311","https://openalex.org/W3021722416","https://openalex.org/W3029645440","https://openalex.org/W3214968550"],"related_works":["https://openalex.org/W4318070857","https://openalex.org/W4289888891","https://openalex.org/W2353996222","https://openalex.org/W2054885914","https://openalex.org/W3032419129","https://openalex.org/W4280618034","https://openalex.org/W2765325264","https://openalex.org/W3012177792","https://openalex.org/W2326077291","https://openalex.org/W2992443586"],"abstract_inverted_index":{"Image":[0],"registration":[1,50,119,125,195,206,235],"is":[2,29,51,127,137,145,154,196,236],"one":[3,47],"of":[4,27,141,158,165,167,172,192,224],"the":[5,25,71,74,142,162,193,225,237],"most":[6],"challenging":[7],"problems":[8],"in":[9,129,198,207],"image":[10,118,124],"processing,":[11],"where":[12],"ill-posedness":[13],"arises":[14],"due":[15],"to":[16,68,117],"noisy":[17],"data":[18],"as":[19,21,35,88],"well":[20],"nonuniqueness,":[22],"and":[23,38,42,57,80,120,133,170,232],"hence":[24],"choice":[26],"regularization":[28,93],"crucial.":[30],"This":[31],"paper":[32,112,212],"presents":[33,214],"hyperelasticity":[34,84],"a":[36,40,63,114,130,147,182,186,199,203,215],"regularizer":[37,76],"introduces":[39],"new":[41],"stable":[43],"numerical":[44,149,163],"implementation.":[45],"On":[46,70],"hand,":[48,73],"hyperelastic":[49,75,123,194,234],"an":[52,90,134,155,208],"appropriate":[53],"model":[54,66],"for":[55,61,95,101],"large":[56],"highly":[58],"nonlinear":[59],"deformations,":[60],"which":[62,160,228],"linear":[64,204],"elastic":[65,205],"needs":[67],"fail.":[69],"other":[72],"yields":[77],"very":[78],"regular":[79],"diffeomorphic":[81],"transformations.":[82],"While":[83],"might":[85],"be":[86],"considered":[87],"just":[89],"additional":[91],"outstanding":[92],"option":[94],"some":[96],"applications,":[97],"it":[98],"becomes":[99],"inevitable":[100],"applications":[102],"involving":[103],"higher":[104],"order":[105],"distance":[106],"measures":[107],"like":[108],"mass-preserving":[109],"registration.":[110],"The":[111,122,139,190,211],"gives":[113],"short":[115],"introduction":[116],"hyperelasticity.":[121],"problem":[126],"phrased":[128],"variational":[131],"setting,":[132],"existence":[135],"proof":[136],"provided.":[138],"focus":[140],"paper,":[143],"however,":[144],"on":[146],"robust":[148],"scheme.":[150],"A":[151],"key":[152],"challenge":[153],"unbiased":[156],"discretization":[157,184],"hyperelasticity,":[159],"enables":[161],"monitoring":[164],"variations":[166],"length,":[168],"surface,":[169],"volume":[171],"infinitesimal":[173],"reference":[174],"elements.":[175],"We":[176],"resolve":[177],"this":[178],"issue":[179],"by":[180],"using":[181],"nodal-based":[183],"with":[185,202],"special":[187],"tetrahedral":[188],"partitioning.":[189],"potential":[191],"demonstrated":[197],"direct":[200],"comparison":[201],"academic":[209],"example.":[210],"also":[213],"real":[216],"life":[217],"application":[218],"from":[219],"three-dimensional":[220],"positron":[221],"emission":[222],"tomography":[223],"human":[226],"heart":[227],"requires":[229],"mass":[230],"preservation,":[231],"thus":[233],"only":[238],"option.":[239]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":16},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":18},{"year":2020,"cited_by_count":14},{"year":2019,"cited_by_count":19},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":14},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":11},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}