{"id":"https://openalex.org/W3037736204","doi":"https://doi.org/10.1109/cvprw50498.2020.00438","title":"Coarse-to-Fine Hamiltonian Dynamics of Hierarchical Flows in Computational Anatomy","display_name":"Coarse-to-Fine Hamiltonian Dynamics of Hierarchical Flows in Computational Anatomy","publication_year":2020,"publication_date":"2020-06-01","ids":{"openalex":"https://openalex.org/W3037736204","doi":"https://doi.org/10.1109/cvprw50498.2020.00438","mag":"3037736204"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvprw50498.2020.00438","pdf_url":null,"source":{"id":"https://openalex.org/S4363607748","display_name":"2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops (CVPRW)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-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/A5033151214","display_name":"Michael I. Miller","orcid":"https://orcid.org/0000-0003-4689-3855"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael I. Miller","raw_affiliation_strings":["Johns Hopkins University, Baltimore, Maryland, USA"],"affiliations":[{"raw_affiliation_string":"Johns Hopkins University, Baltimore, Maryland, USA","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082725826","display_name":"Daniel J. Tward","orcid":"https://orcid.org/0000-0002-4607-6807"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel J. Tward","raw_affiliation_strings":["Johns Hopkins University, Baltimore, MD"],"affiliations":[{"raw_affiliation_string":"Johns Hopkins University, Baltimore, MD","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040982399","display_name":"Alain Trouv\u00e9","orcid":"https://orcid.org/0000-0002-8298-5995"},"institutions":[{"id":"https://openalex.org/I4210162280","display_name":"Laboratoire de G\u00e9ologie de l\u2019\u00c9cole Normale Sup\u00e9rieure","ror":"https://ror.org/05vg9cw43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I29607241","https://openalex.org/I4210148025","https://openalex.org/I4210162280"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Alain Trouve","raw_affiliation_strings":["Ecole Normale Superieure, Paris, France"],"affiliations":[{"raw_affiliation_string":"Ecole Normale Superieure, Paris, France","institution_ids":["https://openalex.org/I4210162280"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.691,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.668203,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":86,"max":87},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11304","display_name":"Diffusion Magnetic Resonance Imaging","score":0.9997,"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"}},"topics":[{"id":"https://openalex.org/T11304","display_name":"Diffusion Magnetic Resonance Imaging","score":0.9997,"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/T12536","display_name":"Topological Data Analysis in Science and Engineering","score":0.9934,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10052","display_name":"Image Segmentation Techniques","score":0.9916,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/diffeomorphism","display_name":"Diffeomorphism","score":0.7250958},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5950723},{"id":"https://openalex.org/keywords/persistent-homology","display_name":"Persistent Homology","score":0.509776}],"concepts":[{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.8118893},{"id":"https://openalex.org/C47556283","wikidata":"https://www.wikidata.org/wiki/Q1058314","display_name":"Diffeomorphism","level":2,"score":0.7250958},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5950723},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.47648805},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46533504},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35532933},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30380785},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.14864457}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvprw50498.2020.00438","pdf_url":null,"source":{"id":"https://openalex.org/S4363607748","display_name":"2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops (CVPRW)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","score":0.63,"display_name":"Life on land"}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":16,"referenced_works":["https://openalex.org/W1546509353","https://openalex.org/W1906042536","https://openalex.org/W1994906459","https://openalex.org/W2062024414","https://openalex.org/W2067470376","https://openalex.org/W2103504761","https://openalex.org/W2115755118","https://openalex.org/W2153358953","https://openalex.org/W2171883843","https://openalex.org/W2396619209","https://openalex.org/W2605101140","https://openalex.org/W2959226257","https://openalex.org/W2979695895","https://openalex.org/W3006657822","https://openalex.org/W3039283352","https://openalex.org/W4255272544"],"related_works":["https://openalex.org/W4386794506","https://openalex.org/W4384920019","https://openalex.org/W4293508317","https://openalex.org/W4212817163","https://openalex.org/W3217798761","https://openalex.org/W3104281043","https://openalex.org/W2962984814","https://openalex.org/W2891397405","https://openalex.org/W2462155254","https://openalex.org/W2075372083"],"abstract_inverted_index":{"We":[0,13,97,115],"present":[1],"here":[2],"the":[3,15,49,58,72,81,88,92,95,117,122],"Hamiltonian":[4],"control":[5,36],"equations":[6,60],"for":[7,127],"hierarchical":[8,35,82],"diffeomorphic":[9],"flows":[10],"of":[11,21,71,94,110,124],"particles.":[12],"define":[14],"controls":[16],"to":[17,78,120,129],"be":[18],"a":[19],"series":[20],"multi-scale":[22],"vector":[23],"fields,":[24],"each":[25],"with":[26,51,64],"their":[27],"own":[28],"reproducing":[29],"kernel":[30],"Hilbert":[31],"space":[32],"norm.":[33],"The":[34],"is":[37,85],"connected":[38],"across":[39],"scale":[40,66,132],"through":[41],"successive":[42],"refinements":[43],"that":[44],"refine":[45],"as":[46],"they":[47],"ascend":[48],"hierarchy":[50],"commensurately":[52],"higher":[53],"bandwidth":[54],"Green's":[55],"kernels.":[56],"Interestingly":[57],"geodesic":[59],"do":[61],"not":[62],"separate,":[63],"fine":[65],"motions":[67],"determined":[68],"by":[69],"all":[70],"particle":[73],"information":[74],"simultaneously,":[75],"from":[76,107],"coarse":[77],"fine.":[79],"Additionally,":[80],"conservation":[83],"law":[84],"derived,":[86],"defining":[87],"geodesics":[89],"and":[90,104],"demonstrating":[91],"constancy":[93],"Hamiltonian.":[96],"show":[98],"results":[99],"on":[100],"one":[101,105],"simulated":[102],"example":[103,106],"histological":[108],"images":[109],"an":[111],"Alzheimer's":[112],"disease":[113],"brain.":[114],"introduce":[116],"varifold":[118],"action":[119],"transport":[121],"weights":[123],"micro-scale":[125],"particles":[126],"mapping":[128],"sub":[130],"millimeter":[131],"cortical":[133],"folds.":[134]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3037736204","counts_by_year":[{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5}],"updated_date":"2024-11-22T04:22:57.542264","created_date":"2020-07-02"}
