{"id":"https://openalex.org/W2279967201","doi":"https://doi.org/10.1007/3-540-31272-2_21","title":"Tensor Median Filtering and M-Smoothing","display_name":"Tensor Median Filtering and M-Smoothing","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2279967201","doi":"https://doi.org/10.1007/3-540-31272-2_21","mag":"2279967201"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-31272-2_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-31272-2_21","pdf_url":null,"source":{"id":"https://openalex.org/S4210191043","display_name":"Mathematics and visualization","issn_l":"1612-3786","issn":["1612-3786","2197-666X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Visualization","raw_type":"book-chapter"},"type":"book-chapter","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/A5055314620","display_name":"Martin Welk","orcid":"https://orcid.org/0000-0002-6268-7050"},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Martin Welk","raw_affiliation_strings":["Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Building 27, 66041, Saarbr\u00fccken, Germany"],"affiliations":[{"raw_affiliation_string":"Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Building 27, 66041, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025988112","display_name":"Christian Feddern","orcid":null},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christian Feddern","raw_affiliation_strings":["Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Building 27, 66041, Saarbr\u00fccken, Germany"],"affiliations":[{"raw_affiliation_string":"Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Building 27, 66041, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038254582","display_name":"Bernhard Burgeth","orcid":"https://orcid.org/0000-0001-6602-6201"},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bernhard Burgeth","raw_affiliation_strings":["Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Building 27, 66041, Saarbr\u00fccken, Germany"],"affiliations":[{"raw_affiliation_string":"Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Building 27, 66041, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007086183","display_name":"Joachim Weickert","orcid":"https://orcid.org/0000-0002-8494-0045"},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Joachim Weickert","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, Saarland University, Building 27, 66041, Saarbr\u00fccken, Germany","Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Building 27, 66041, Saarbr\u00fccken, Germany"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Saarland University, Building 27, 66041, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]},{"raw_affiliation_string":"Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Building 27, 66041, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5055314620"],"corresponding_institution_ids":["https://openalex.org/I91712215"],"apc_list":null,"apc_paid":null,"fwci":4.0588,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.93814844,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"345","last_page":"356"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9991000294685364,"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":"Advanced Neuroimaging Techniques and Applications","score":0.9991000294685364,"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/T12303","display_name":"Tensor decomposition and applications","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.98580002784729,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.7471423745155334},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.647741436958313},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.5359343886375427},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5293890833854675},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5193035006523132},{"id":"https://openalex.org/keywords/infimum-and-supremum","display_name":"Infimum and supremum","score":0.4847835898399353},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.46125754714012146},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4139252305030823},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.41362449526786804},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3184603452682495},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31133753061294556},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.30234864354133606},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29944419860839844},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11347657442092896}],"concepts":[{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.7471423745155334},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.647741436958313},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.5359343886375427},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5293890833854675},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5193035006523132},{"id":"https://openalex.org/C95611797","wikidata":"https://www.wikidata.org/wiki/Q17502105","display_name":"Infimum and supremum","level":2,"score":0.4847835898399353},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.46125754714012146},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4139252305030823},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.41362449526786804},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3184603452682495},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31133753061294556},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.30234864354133606},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29944419860839844},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11347657442092896},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-31272-2_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-31272-2_21","pdf_url":null,"source":{"id":"https://openalex.org/S4210191043","display_name":"Mathematics and visualization","issn_l":"1612-3786","issn":["1612-3786","2197-666X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Visualization","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W42163008","https://openalex.org/W151607323","https://openalex.org/W217432794","https://openalex.org/W1525393120","https://openalex.org/W1531660685","https://openalex.org/W1549101196","https://openalex.org/W1577110508","https://openalex.org/W1581996658","https://openalex.org/W1601765952","https://openalex.org/W1616186945","https://openalex.org/W1733437702","https://openalex.org/W1844539972","https://openalex.org/W1978805351","https://openalex.org/W2016209919","https://openalex.org/W2020332292","https://openalex.org/W2107466627","https://openalex.org/W2123220620","https://openalex.org/W2123491786","https://openalex.org/W2155910912","https://openalex.org/W2162587881","https://openalex.org/W2319794630","https://openalex.org/W2488719231","https://openalex.org/W2496526329","https://openalex.org/W2561675875","https://openalex.org/W3089669417","https://openalex.org/W4226044231","https://openalex.org/W4255523594","https://openalex.org/W4256358309"],"related_works":["https://openalex.org/W2953175190","https://openalex.org/W4288318511","https://openalex.org/W2257286100","https://openalex.org/W2784344684","https://openalex.org/W2562705109","https://openalex.org/W2099602951","https://openalex.org/W2098184873","https://openalex.org/W4237074253","https://openalex.org/W2076355464","https://openalex.org/W2322442038"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
