{"id":"https://openalex.org/W2756161774","doi":"https://doi.org/10.1109/icip.2017.8296271","title":"MVIRT, a toolbox for manifold-valued image restoration","display_name":"MVIRT, a toolbox for manifold-valued image restoration","publication_year":2017,"publication_date":"2017-09-01","ids":{"openalex":"https://openalex.org/W2756161774","doi":"https://doi.org/10.1109/icip.2017.8296271","mag":"2756161774"},"language":"en","primary_location":{"id":"doi:10.1109/icip.2017.8296271","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2017.8296271","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Conference on Image Processing (ICIP)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5106698931","display_name":"Ronny Bergmann","orcid":"https://orcid.org/0000-0001-8342-7218"},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Ronny Bergmann","raw_affiliation_strings":["Department of Mathematics, University of Kaiserslautern, Kaiserslautern, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Kaiserslautern, Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5106698931"],"corresponding_institution_ids":["https://openalex.org/I153267046"],"apc_list":null,"apc_paid":null,"fwci":0.4776,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.76748382,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"15","issue":null,"first_page":"201","last_page":"205"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9955999851226807,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9955999851226807,"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":0.9889000058174133,"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"}},{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9876999855041504,"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/toolbox","display_name":"Toolbox","score":0.7984809875488281},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.6929111480712891},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6518335342407227},{"id":"https://openalex.org/keywords/grayscale","display_name":"Grayscale","score":0.553852915763855},{"id":"https://openalex.org/keywords/riemannian-manifold","display_name":"Riemannian manifold","score":0.5062707662582397},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.5032116770744324},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.46881937980651855},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4463358521461487},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.44479793310165405},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4066348373889923},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.39361879229545593},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3927229642868042},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3902420997619629},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3448188900947571},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29356133937835693},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08593034744262695}],"concepts":[{"id":"https://openalex.org/C2777655017","wikidata":"https://www.wikidata.org/wiki/Q1501161","display_name":"Toolbox","level":2,"score":0.7984809875488281},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.6929111480712891},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6518335342407227},{"id":"https://openalex.org/C78201319","wikidata":"https://www.wikidata.org/wiki/Q685727","display_name":"Grayscale","level":3,"score":0.553852915763855},{"id":"https://openalex.org/C2779593128","wikidata":"https://www.wikidata.org/wiki/Q632814","display_name":"Riemannian manifold","level":2,"score":0.5062707662582397},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.5032116770744324},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.46881937980651855},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4463358521461487},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.44479793310165405},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4066348373889923},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.39361879229545593},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3927229642868042},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3902420997619629},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3448188900947571},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29356133937835693},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08593034744262695},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icip.2017.8296271","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2017.8296271","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Conference on Image Processing (ICIP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W92310073","https://openalex.org/W561072774","https://openalex.org/W1487446337","https://openalex.org/W1555268757","https://openalex.org/W1804110266","https://openalex.org/W1992161666","https://openalex.org/W1996970275","https://openalex.org/W2031251087","https://openalex.org/W2032008511","https://openalex.org/W2044690209","https://openalex.org/W2058735612","https://openalex.org/W2065103551","https://openalex.org/W2073750241","https://openalex.org/W2103559027","https://openalex.org/W2109409043","https://openalex.org/W2123513798","https://openalex.org/W2125391899","https://openalex.org/W2164355691","https://openalex.org/W2166119271","https://openalex.org/W2167623372","https://openalex.org/W2323580262","https://openalex.org/W2346678144","https://openalex.org/W2962777248","https://openalex.org/W2964029293","https://openalex.org/W3038054700","https://openalex.org/W3098206065","https://openalex.org/W3100717425","https://openalex.org/W3101387996","https://openalex.org/W3104074850","https://openalex.org/W4205293427","https://openalex.org/W4206033904","https://openalex.org/W4292082790","https://openalex.org/W6684641359","https://openalex.org/W6700678830","https://openalex.org/W6967026947"],"related_works":["https://openalex.org/W4205140848","https://openalex.org/W2068663075","https://openalex.org/W2978678743","https://openalex.org/W2797837731","https://openalex.org/W4393677513","https://openalex.org/W4390832911","https://openalex.org/W829257147","https://openalex.org/W4385302116","https://openalex.org/W3081389670","https://openalex.org/W2150344375"],"abstract_inverted_index":{"In":[0,48],"many":[1],"real":[2],"life":[3],"application":[4],"measured":[5],"data":[6,35],"takes":[7],"its":[8],"values":[9],"on":[10,68],"Riemannian":[11],"manifolds.":[12],"For":[13],"the":[14,18,24,53,83,116],"special":[15],"case":[16],"of":[17,43,62],"Euclidean":[19],"space":[20],"this":[21,49],"setting":[22],"includes":[23],"classical":[25,32,63],"grayscale":[26],"and":[27,101],"color":[28],"images.":[29],"Like":[30],"these":[31,91],"images,":[33],"manifold-valued":[34,54,75],"might":[36],"suffer":[37],"from":[38],"measurement":[39],"errors":[40],"in":[41,71,97],"form":[42],"noise":[44,108],"or":[45,110],"missing":[46],"data.":[47],"paper":[50,114],"we":[51],"present":[52],"image":[55,64,76],"restoration":[56],"toolbox":[57,84,94],"(MVIRT)":[58],"that":[59],"provides":[60,85],"implementations":[61],"processing":[65,77],"tasks.":[66],"Based":[67],"recent":[69],"developments":[70],"variational":[72],"methods":[73,119],"for":[74],"methods,":[78],"like":[79],"total":[80],"variation":[81],"regularization,":[82],"easy":[86],"access":[87],"to":[88],"work":[89],"with":[90,105],"algorithms.":[92,112],"The":[93],"is":[95],"implemented":[96],"Matlab,":[98],"open":[99],"source,":[100],"easily":[102],"extendible,":[103],"e.g.":[104],"own":[106],"manifolds,":[107],"models":[109],"further":[111],"This":[113],"introduces":[115],"main":[117],"mathematical":[118],"as":[120,122],"well":[121],"numerical":[123],"examples.":[124]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}