{"id":"https://openalex.org/W2079557531","doi":"https://doi.org/10.1137/140975528","title":"Imaging with Kantorovich--Rubinstein Discrepancy","display_name":"Imaging with Kantorovich--Rubinstein Discrepancy","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2079557531","doi":"https://doi.org/10.1137/140975528","mag":"2079557531"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/140975528","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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://arxiv.org/pdf/1407.0221","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027503123","display_name":"Jan Lellmann","orcid":"https://orcid.org/0000-0002-5243-0331"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jan Lellmann","raw_affiliation_strings":["Univ Cambridge, University of Cambridge, Dept Appl Math & Theoret Phys"],"affiliations":[{"raw_affiliation_string":"Univ Cambridge, University of Cambridge, Dept Appl Math & Theoret Phys","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069699303","display_name":"Dirk A. Lorenz","orcid":"https://orcid.org/0000-0002-7419-769X"},"institutions":[{"id":"https://openalex.org/I94509681","display_name":"Technische Universit\u00e4t Braunschweig","ror":"https://ror.org/010nsgg66","country_code":"DE","type":"education","lineage":["https://openalex.org/I94509681"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Dirk A. Lorenz","raw_affiliation_strings":["TU Braunschweig, Braunschweig University of Technology, Inst Anal & Algebra"],"affiliations":[{"raw_affiliation_string":"TU Braunschweig, Braunschweig University of Technology, Inst Anal & Algebra","institution_ids":["https://openalex.org/I94509681"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033880300","display_name":"Carola\u2010Bibiane Sch\u00f6nlieb","orcid":"https://orcid.org/0000-0003-0099-6306"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Carola Sch\u00f6nlieb","raw_affiliation_strings":["Univ Cambridge, University of Cambridge, Dept Appl Math & Theoret Phys"],"affiliations":[{"raw_affiliation_string":"Univ Cambridge, University of Cambridge, Dept Appl Math & Theoret Phys","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063078374","display_name":"Tuomo Valkonen","orcid":"https://orcid.org/0000-0001-6683-3572"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Tuomo Valkonen","raw_affiliation_strings":["[DAMTP, University of Cambridge]"],"affiliations":[{"raw_affiliation_string":"[DAMTP, University of Cambridge]","institution_ids":["https://openalex.org/I241749"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.987,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":67,"citation_normalized_percentile":{"value":0.946884,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"7","issue":"4","first_page":"2833","last_page":"2859"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9922,"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":0.9922,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9826,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9821,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/total-variation-denoising","display_name":"Total variation denoising","score":0.8069012},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization","score":0.62168175},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.6156558},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.4136557}],"concepts":[{"id":"https://openalex.org/C207282899","wikidata":"https://www.wikidata.org/wiki/Q7828156","display_name":"Total variation denoising","level":3,"score":0.8069012},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.62168175},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.6156558},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5465273},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.52016354},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5143979},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.51220816},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4982152},{"id":"https://openalex.org/C2983327147","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Image denoising","level":3,"score":0.49816298},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47951987},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.4423831},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.42767307},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.4136557},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36396608},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3585704},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23975086},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09067732},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/140975528","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":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1407.0221","pdf_url":"http://arxiv.org/pdf/1407.0221","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1407.0221","pdf_url":"https://arxiv.org/pdf/1407.0221","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":null,"pdf_url":"https://arxiv.org/pdf/1407.0221.pdf","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://api.datacite.org/dois/10.48550/arxiv.1407.0221","pdf_url":null,"source":{"id":"https://openalex.org/S4393179698","display_name":"DataCite API","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210145204","host_organization_name":"DataCite","host_organization_lineage":["https://openalex.org/I4210145204"],"host_organization_lineage_names":["DataCite"],"type":"metadata"},"license":null,"license_id":null,"version":null}],"best_oa_location":{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1407.0221","pdf_url":"http://arxiv.org/pdf/1407.0221","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":["https://openalex.org/W2079557531","https://openalex.org/W3106451119"],"referenced_works_count":71,"referenced_works":["https://openalex.org/W1177624878","https://openalex.org/W1480714962","https://openalex.org/W1482513167","https://openalex.org/W1486647633","https://openalex.org/W1488881187","https://openalex.org/W1522020530","https://openalex.org/W1522579744","https://openalex.org/W1544177383","https://openalex.org/W1556141937","https://openalex.org/W1586565821","https://openalex.org/W1592457332","https://openalex.org/W1639961155","https://openalex.org/W1653619892","https://openalex.org/W1670153145","https://openalex.org/W1856374787","https://openalex.org/W1965517257","https://openalex.org/W1969363322","https://openalex.org/W1986715231","https://openalex.org/W1990805993","https://openalex.org/W1993747418","https://openalex.org/W1998999283","https://openalex.org/W2000354818","https://openalex.org/W2000594266","https://openalex.org/W2007626594","https://openalex.org/W2014054549","https://openalex.org/W2017688462","https://openalex.org/W2019393228","https://openalex.org/W2027842533","https://openalex.org/W2028852533","https://openalex.org/W2036476462","https://openalex.org/W2037232171","https://openalex.org/W2040378863","https://openalex.org/W2040537768","https://openalex.org/W2042737998","https://openalex.org/W2047245102","https://openalex.org/W2048881483","https://openalex.org/W2052424080","https://openalex.org/W2073027160","https://openalex.org/W207373900","https://openalex.org/W2074551095","https://openalex.org/W2081295032","https://openalex.org/W2092663520","https://openalex.org/W2095980290","https://openalex.org/W2100533333","https://openalex.org/W2105880637","https://openalex.org/W2112009428","https://openalex.org/W2113642685","https://openalex.org/W2117616929","https://openalex.org/W2132442278","https://openalex.org/W2134753888","https://openalex.org/W2143668817","https://openalex.org/W2161086299","https://openalex.org/W2163380389","https://openalex.org/W2171315019","https://openalex.org/W2171944046","https://openalex.org/W2268577412","https://openalex.org/W2321750535","https://openalex.org/W2324239163","https://openalex.org/W2396495741","https://openalex.org/W2430554907","https://openalex.org/W2748126028","https://openalex.org/W2963042087","https://openalex.org/W3009330671","https://openalex.org/W385466589","https://openalex.org/W4287777131","https://openalex.org/W4292065091","https://openalex.org/W4292159986","https://openalex.org/W4300283000","https://openalex.org/W4301021743","https://openalex.org/W583356579","https://openalex.org/W784519918"],"related_works":["https://openalex.org/W73248859","https://openalex.org/W4236459141","https://openalex.org/W4205304778","https://openalex.org/W2588406281","https://openalex.org/W2584253892","https://openalex.org/W2350324449","https://openalex.org/W2034033896","https://openalex.org/W2020252434","https://openalex.org/W1572705989","https://openalex.org/W119381072"],"abstract_inverted_index":{"We":[0,41,64],"propose":[1],"the":[2,5,33,68],"use":[3],"of":[4,35,45],"Kantorovich--Rubinstein":[6,25],"norm":[7],"from":[8],"optimal":[9],"transport":[10],"in":[11,32],"imaging":[12],"problems.":[13],"In":[14],"particular,":[15],"we":[16],"discuss":[17],"a":[18,24,76],"variational":[19],"regularization":[20,31],"model":[21],"endowed":[22],"with":[23,81],"discrepancy":[26],"term":[27],"and":[28,38,59,84,97,102],"total":[29,56],"variation":[30,58],"context":[34],"image":[36],"denoising":[37,101],"cartoon-texture":[39,103],"decomposition.":[40,104],"point":[42,79],"out":[43],"connections":[44],"this":[46],"approach":[47],"to":[48],"several":[49],"other":[50],"recently":[51],"proposed":[52],"methods":[53],"such":[54],"as":[55],"generalized":[57],"norms":[60],"capturing":[61],"oscillating":[62],"patterns.":[63],"also":[65],"show":[66],"that":[67],"respective":[69],"optimization":[70],"problem":[71,80],"can":[72,86],"be":[73,87],"turned":[74],"into":[75],"convex-concave":[77],"saddle":[78],"simple":[82],"constraints":[83],"hence":[85],"solved":[88],"by":[89],"standard":[90],"tools.":[91],"Numerical":[92],"examples":[93],"exhibit":[94],"interesting":[95],"features":[96],"favorable":[98],"performance":[99],"for":[100]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2079557531","counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":13},{"year":2015,"cited_by_count":9}],"updated_date":"2025-01-06T21:36:30.192838","created_date":"2016-06-24"}