{"id":"https://openalex.org/W1921142764","doi":"https://doi.org/10.1109/cvpr.2015.7298819","title":"Total variation regularization of shape signals","display_name":"Total variation regularization of shape signals","publication_year":2015,"publication_date":"2015-06-01","ids":{"openalex":"https://openalex.org/W1921142764","doi":"https://doi.org/10.1109/cvpr.2015.7298819","mag":"1921142764"},"language":"en","primary_location":{"id":"doi:10.1109/cvpr.2015.7298819","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2015.7298819","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/213739","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016665254","display_name":"Maximilian Baust","orcid":"https://orcid.org/0000-0003-2077-1606"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Maximilian Baust","raw_affiliation_strings":["Computer Aided Medical Procedures and Augmented Reality, Technische Universit\u00e4t M\u00fcnchen"],"affiliations":[{"raw_affiliation_string":"Computer Aided Medical Procedures and Augmented Reality, Technische Universit\u00e4t M\u00fcnchen","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043061745","display_name":"Laurent Demaret","orcid":"https://orcid.org/0000-0002-1228-9396"},"institutions":[{"id":"https://openalex.org/I3018134672","display_name":"Helmholtz Zentrum M\u00fcnchen","ror":"https://ror.org/00cfam450","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I3018134672"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Laurent Demaret","raw_affiliation_strings":["Institute of Computational Biology, Helmholtz Zentrum M\u00fcnchen, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Computational Biology, Helmholtz Zentrum M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I3018134672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015529161","display_name":"Martin Storath","orcid":"https://orcid.org/0000-0003-1427-0776"},"institutions":[{"id":"https://openalex.org/I4210133377","display_name":"Centre d'Imagerie BioMedicale","ror":"https://ror.org/03fw2bn12","country_code":"CH","type":"facility","lineage":["https://openalex.org/I4210133377"]},{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Martin Storath","raw_affiliation_strings":["Biomedical Imaging Group, EPFL, Lausanne"],"affiliations":[{"raw_affiliation_string":"Biomedical Imaging Group, EPFL, Lausanne","institution_ids":["https://openalex.org/I5124864","https://openalex.org/I4210133377"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046896448","display_name":"Nassir Navab","orcid":"https://orcid.org/0000-0002-6032-5611"},"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":"Nassir Navab","raw_affiliation_strings":["Johns Hopkins University, Baltimore"],"affiliations":[{"raw_affiliation_string":"Johns Hopkins University, Baltimore","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037919645","display_name":"Andreas Weinmann","orcid":"https://orcid.org/0000-0002-4969-7609"},"institutions":[{"id":"https://openalex.org/I3018134672","display_name":"Helmholtz Zentrum M\u00fcnchen","ror":"https://ror.org/00cfam450","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I3018134672"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Andreas Weinmann","raw_affiliation_strings":["Helmholtz Zentrum M\u00fcnchen, Institute of Computational Biology"],"affiliations":[{"raw_affiliation_string":"Helmholtz Zentrum M\u00fcnchen, Institute of Computational Biology","institution_ids":["https://openalex.org/I3018134672"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5016665254"],"corresponding_institution_ids":["https://openalex.org/I62916508"],"apc_list":null,"apc_paid":null,"fwci":3.6939,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.92117302,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"2075","last_page":"2083"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12417","display_name":"Morphological variations and asymmetry","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12417","display_name":"Morphological variations and asymmetry","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10638","display_name":"Optical measurement and interference techniques","score":0.9958000183105469,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9922000169754028,"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/geodesic","display_name":"Geodesic","score":0.8381929993629456},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.797914445400238},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.6278585195541382},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5958614349365234},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5864675641059875},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5457888841629028},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5011906623840332},{"id":"https://openalex.org/keywords/fidelity","display_name":"Fidelity","score":0.49607953429222107},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4701055884361267},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3777329921722412},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.34179574251174927},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3331596851348877},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2504846453666687}],"concepts":[{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.8381929993629456},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.797914445400238},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6278585195541382},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5958614349365234},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5864675641059875},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5457888841629028},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5011906623840332},{"id":"https://openalex.org/C2776459999","wikidata":"https://www.wikidata.org/wiki/Q2119376","display_name":"Fidelity","level":2,"score":0.49607953429222107},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4701055884361267},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3777329921722412},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.34179574251174927},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3331596851348877},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2504846453666687},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/cvpr.2015.7298819","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2015.7298819","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)","raw_type":"proceedings-article"},{"id":"pmh:oai:infoscience.epfl.ch:213739","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/213739","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:infoscience.tind.io:213739","is_oa":true,"landing_page_url":"http://bigwww.epfl.ch/publications/baust1501.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"conference proceedings"},{"id":"pmh:oai:opus-zb.helmholtz-muenchen.de:47377","is_oa":true,"landing_page_url":"https://push-zb.helmholtz-muenchen.de/frontdoor.php?source_opus=47377","pdf_url":null,"source":{"id":"https://openalex.org/S4377196115","display_name":"Site cant be reached","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":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proc. IEEE Inst. Electr. Electron. Eng., 2075-2083 (2015)","raw_type":""}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:213739","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/213739","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[{"score":0.44999998807907104,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G3829048491","display_name":null,"funder_award_id":"FP7/2007-2013","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G3981126665","display_name":null,"funder_award_id":"Seventh Framework Programme","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5593277320","display_name":null,"funder_award_id":"2007-2013","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5702163051","display_name":null,"funder_award_id":"FP7/2007","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8353565506","display_name":"A functional framework for sparse, non-gaussian signal processing and bioimaging","funder_award_id":"267439","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1602244418","https://openalex.org/W1970140610","https://openalex.org/W1985415289","https://openalex.org/W1988167023","https://openalex.org/W2005880216","https://openalex.org/W2027548828","https://openalex.org/W2032008511","https://openalex.org/W2034740917","https://openalex.org/W2042899290","https://openalex.org/W2046033161","https://openalex.org/W2052077904","https://openalex.org/W2091804476","https://openalex.org/W2092663520","https://openalex.org/W2096610373","https://openalex.org/W2103559027","https://openalex.org/W2104095591","https://openalex.org/W2105492237","https://openalex.org/W2105866209","https://openalex.org/W2107688855","https://openalex.org/W2113708607","https://openalex.org/W2114282200","https://openalex.org/W2119531662","https://openalex.org/W2123513798","https://openalex.org/W2131747574","https://openalex.org/W2132630784","https://openalex.org/W2150034553","https://openalex.org/W2155343350","https://openalex.org/W2159713859","https://openalex.org/W2165168736","https://openalex.org/W2325772344","https://openalex.org/W3100312820","https://openalex.org/W3100717425","https://openalex.org/W3125879488","https://openalex.org/W4285719527","https://openalex.org/W6636029812"],"related_works":["https://openalex.org/W1978591761","https://openalex.org/W2381850946","https://openalex.org/W4380449851","https://openalex.org/W2941285539","https://openalex.org/W4287661821","https://openalex.org/W1579299075","https://openalex.org/W4206698794","https://openalex.org/W1575981832","https://openalex.org/W3089249579","https://openalex.org/W3133864228"],"abstract_inverted_index":{"This":[0,78],"paper":[1],"introduces":[2],"the":[3,27,39,43,55,67,82,90,95,101,108],"concept":[4],"of":[5,10,29,42,54,59,85,94,100,137],"shape":[6,76,131,141],"signals,":[7],"i.e.,":[8],"series":[9],"shapes":[11],"which":[12],"have":[13],"a":[14,23,52],"natural":[15],"temporal":[16],"or":[17],"spatial":[18],"ordering,":[19],"as":[20,22,38],"well":[21],"variational":[24,96],"formulation":[25,34,97],"for":[26,47,81,121],"regularization":[28],"these":[30],"signals.":[31,132],"The":[32],"proposed":[33],"can":[35,71],"be":[36,72],"seen":[37],"shape-valued":[40],"generalization":[41],"Rudin-Osher-Fatemi":[44],"(ROF)":[45],"functional":[46],"intensity":[48],"images.":[49],"We":[50],"derive":[51],"variant":[53],"classical":[56],"finite-dimensional":[57],"representation":[58,79],"Kendall,":[60],"but":[61],"our":[62,138],"framework":[63],"is":[64],"generic":[65],"in":[66,129],"sense":[68],"that":[69,113],"it":[70],"combined":[73],"with":[74],"any":[75],"space.":[77],"allows":[80],"explicit":[83],"computation":[84],"geodesics":[86],"and":[87,125,147],"thus":[88],"facilitates":[89],"efficient":[91],"numerical":[92],"treatment":[93],"by":[98],"means":[99],"cyclic":[102],"proximal":[103],"point":[104],"algorithm.":[105],"Similar":[106],"to":[107,140],"ROF-functional,":[109],"we":[110,134],"demonstrate":[111],"experimentally":[112],"\u2113":[114],"<inf":[115],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[116],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</inf>":[117],"-type":[118],"penalties":[119],"both":[120],"data":[122,149],"fidelity":[123],"term":[124],"regularizer":[126],"perform":[127],"best":[128],"regularizing":[130],"Finally,":[133],"show":[135],"applications":[136],"method":[139],"signals":[142],"obtained":[143],"from":[144],"synthetic,":[145],"photometric,":[146],"medical":[148],"sets.":[150]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}