{"id":"https://openalex.org/W1944248538","doi":"https://doi.org/10.5220/0004667500480055","title":"Using Channel Representations in Regularization Terms - A Case Study on Image Diffusion","display_name":"Using Channel Representations in Regularization Terms - A Case Study on Image Diffusion","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1944248538","doi":"https://doi.org/10.5220/0004667500480055","mag":"1944248538"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.5220/0004667500480055","pdf_url":null,"source":null,"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":true,"oa_status":"green","oa_url":"https://liu.diva-portal.org/smash/get/diva2:690190/FULLTEXT01","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089950477","display_name":"Christian Heinemann","orcid":"https://orcid.org/0000-0003-0734-700X"},"institutions":[{"id":"https://openalex.org/I171892758","display_name":"Forschungszentrum J\u00fclich","ror":"https://ror.org/02nv7yv05","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I171892758"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christian Heinemann","raw_affiliation_strings":["IBG-2: Plant Sciences, Forschungszentrum J\u00fclich, 52425, Germany"],"affiliations":[{"raw_affiliation_string":"IBG-2: Plant Sciences, Forschungszentrum J\u00fclich, 52425, Germany","institution_ids":["https://openalex.org/I171892758"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053645636","display_name":"Freddie \u00c5str\u00f6m","orcid":"https://orcid.org/0000-0001-6441-5609"},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Freddie Astrom","raw_affiliation_strings":["Dept. of Electrical Engineering, Link\u00f6ping University, SE-581 83, Sweden"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical Engineering, Link\u00f6ping University, SE-581 83, Sweden","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018327460","display_name":"George Baravdish","orcid":"https://orcid.org/0000-0002-9810-3539"},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"George Baravdish","raw_affiliation_strings":["Department of Science and Technology, Link\u00f6ping University, SE\u2010601 74 Norrk\u00f6ping, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Science and Technology, Link\u00f6ping University, SE\u2010601 74 Norrk\u00f6ping, Sweden","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016852627","display_name":"Kai Krajsek","orcid":"https://orcid.org/0000-0003-3417-161X"},"institutions":[{"id":"https://openalex.org/I171892758","display_name":"Forschungszentrum J\u00fclich","ror":"https://ror.org/02nv7yv05","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I171892758"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Kai Krajsek","raw_affiliation_strings":["IBG-2: Plant Sciences, Forschungszentrum J\u00fclich, 52425, Germany"],"affiliations":[{"raw_affiliation_string":"IBG-2: Plant Sciences, Forschungszentrum J\u00fclich, 52425, Germany","institution_ids":["https://openalex.org/I171892758"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042087981","display_name":"Michael Felsberg","orcid":"https://orcid.org/0000-0002-6096-3648"},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Michael Felsberg","raw_affiliation_strings":["Dept. of Electrical Engineering, Link\u00f6ping University, SE-581 83, Sweden"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical Engineering, Link\u00f6ping University, SE-581 83, Sweden","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058673315","display_name":"Hanno Scharr","orcid":"https://orcid.org/0000-0002-8555-6416"},"institutions":[{"id":"https://openalex.org/I171892758","display_name":"Forschungszentrum J\u00fclich","ror":"https://ror.org/02nv7yv05","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I171892758"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Hanno Scharr","raw_affiliation_strings":["IBG-2: Plant Sciences, Forschungszentrum J\u00fclich, 52425, Germany"],"affiliations":[{"raw_affiliation_string":"IBG-2: Plant Sciences, Forschungszentrum J\u00fclich, 52425, Germany","institution_ids":["https://openalex.org/I171892758"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.281,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":2,"citation_normalized_percentile":{"value":0.188001,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":73,"max":76},"biblio":{"volume":null,"issue":null,"first_page":"48","last_page":"55"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9997,"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":0.9997,"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":0.9948,"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/T11659","display_name":"Advanced Image Fusion Techniques","score":0.989,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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/impulse-noise","display_name":"Impulse noise","score":0.57515717},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization","score":0.50962996}],"concepts":[{"id":"https://openalex.org/C127372701","wikidata":"https://www.wikidata.org/wiki/Q16979398","display_name":"Impulse noise","level":3,"score":0.57515717},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.5279067},{"id":"https://openalex.org/C203504353","wikidata":"https://www.wikidata.org/wiki/Q4765461","display_name":"Anisotropic diffusion","level":3,"score":0.5172308},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.50962996},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.48419836},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47665888},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4727586},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.44757465},{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.41769335},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.41620287},{"id":"https://openalex.org/C68710425","wikidata":"https://www.wikidata.org/wiki/Q5275442","display_name":"Diffusion process","level":3,"score":0.41308588},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4049185},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.362758},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3142947},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C56739046","wikidata":"https://www.wikidata.org/wiki/Q192060","display_name":"Knowledge management","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C3017618536","wikidata":"https://www.wikidata.org/wiki/Q304994","display_name":"Innovation diffusion","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.5220/0004667500480055","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-103669","pdf_url":"https://liu.diva-portal.org/smash/get/diva2:690190/FULLTEXT01","source":{"id":"https://openalex.org/S4306400837","display_name":"DiVA (Linkoping University)","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}],"best_oa_location":{"is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-103669","pdf_url":"https://liu.diva-portal.org/smash/get/diva2:690190/FULLTEXT01","source":{"id":"https://openalex.org/S4306400837","display_name":"DiVA (Linkoping University)","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},"sustainable_development_goals":[{"score":0.67,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":21,"referenced_works":["https://openalex.org/W1480546554","https://openalex.org/W1504835960","https://openalex.org/W1523201499","https://openalex.org/W1555277586","https://openalex.org/W1561471070","https://openalex.org/W1602793017","https://openalex.org/W2001002651","https://openalex.org/W2003884262","https://openalex.org/W2027454670","https://openalex.org/W2041625018","https://openalex.org/W2074080630","https://openalex.org/W2076557627","https://openalex.org/W2097073572","https://openalex.org/W2099244020","https://openalex.org/W2102443333","https://openalex.org/W2121927366","https://openalex.org/W2123407276","https://openalex.org/W2131686571","https://openalex.org/W2133665775","https://openalex.org/W2149396346","https://openalex.org/W2150134853"],"related_works":["https://openalex.org/W3209466624","https://openalex.org/W2884752167","https://openalex.org/W2475096862","https://openalex.org/W2379232376","https://openalex.org/W2149396808","https://openalex.org/W2118940112","https://openalex.org/W2088646524","https://openalex.org/W2061511799","https://openalex.org/W2011752842","https://openalex.org/W1975251743"],"abstract_inverted_index":{"In":[0],"this":[1,66],"work":[2],"we":[3,23],"propose":[4],"a":[5,25,30,46],"novel":[6,26,67],"non-linear":[7,47],"diffusion":[8,20,49,63,102],"filtering":[9],"approach":[10,96],"for":[11,110],"images":[12,94],"based":[13],"on":[14],"their":[15],"channel":[16,40,58],"representation.To":[17],"derive":[18],"the":[19,39,57,62,78,111],"update":[21],"scheme":[22,50],"formulate":[24],"energy":[27,68],"functional":[28],"using":[29],"softhistogram":[31],"representation":[32,59],"of":[33,80,82,91],"image":[34,71],"pixel":[35],"neighborhoods":[36],"obtained":[37],"from":[38,56],"encoding.The":[41],"resulting":[42],"Euler-Lagrange":[43],"equation":[44],"yields":[45],"robust":[48],"with":[51],"additional":[52],"weighting":[53],"terms":[54],"stemming":[55],"which":[60],"steer":[61],"process.We":[64],"apply":[65],"formulation":[69],"to":[70,100],"reconstruction":[72],"problems,":[73],"showing":[74],"good":[75],"performance":[76],"in":[77],"presence":[79],"mixtures":[81],"Gaussian":[83],"and":[84],"impulse-like":[85],"noise,":[86],"e.g.missing":[87],"data.In":[88],"denoising":[89,108],"experiments":[90],"common":[92],"scalar-valued":[93],"our":[95],"performs":[97],"competitive":[98],"compared":[99],"other":[101],"schemes":[103],"as":[104,106],"well":[105],"state-of-the-art":[107],"methods":[109],"considered":[112],"noise":[113],"types.":[114]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1944248538","counts_by_year":[{"year":2015,"cited_by_count":2}],"updated_date":"2024-12-10T12:04:34.892995","created_date":"2016-06-24"}