{"id":"https://openalex.org/W1980787175","doi":"https://doi.org/10.1016/j.imavis.2006.06.001","title":"Theoretical foundations for spatially discrete 1-D shock filtering","display_name":"Theoretical foundations for spatially discrete 1-D shock filtering","publication_year":2006,"publication_date":"2006-08-02","ids":{"openalex":"https://openalex.org/W1980787175","doi":"https://doi.org/10.1016/j.imavis.2006.06.001","mag":"1980787175"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.imavis.2006.06.001","pdf_url":null,"source":{"id":"https://openalex.org/S177430994","display_name":"Image and Vision Computing","issn_l":"0262-8856","issn":["0262-8856","1872-8138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","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":false,"raw_author_name":"Martin Welk","raw_affiliation_strings":["Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Building E11, 66041 Saarbr\u00fccken, Germany"],"affiliations":[{"raw_affiliation_string":"Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Building E11, 66041 Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"middle","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":["Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Building E11, 66041 Saarbr\u00fccken, Germany"],"affiliations":[{"raw_affiliation_string":"Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Building E11, 66041 Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083837803","display_name":"Irena Gali\u0107","orcid":"https://orcid.org/0000-0002-0211-4568"},"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":"Irena Gali\u0107","raw_affiliation_strings":["Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Building E11, 66041 Saarbr\u00fccken, Germany"],"affiliations":[{"raw_affiliation_string":"Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Building E11, 66041 Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2270,"currency":"USD","value_usd":2270,"provenance":"doaj"},"apc_paid":null,"fwci":0.688,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":15,"citation_normalized_percentile":{"value":0.728461,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":85,"max":86},"biblio":{"volume":"25","issue":"4","first_page":"455","last_page":"463"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9793,"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"}},"topics":[{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9793,"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"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9288,"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/T12859","display_name":"Cell Image Analysis Techniques","score":0.9053,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.843796},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.7390937},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6998577},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.67729604},{"id":"https://openalex.org/C2781300812","wikidata":"https://www.wikidata.org/wiki/Q178061","display_name":"Shock (circulatory)","level":2,"score":0.63632774},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.59580106},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5117049},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4787273},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.42412943},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.34255952},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23312736},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.13754612},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.imavis.2006.06.001","pdf_url":null,"source":{"id":"https://openalex.org/S177430994","display_name":"Image and Vision Computing","issn_l":"0262-8856","issn":["0262-8856","1872-8138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":25,"referenced_works":["https://openalex.org/W1480546554","https://openalex.org/W1569775974","https://openalex.org/W1580244397","https://openalex.org/W1751373636","https://openalex.org/W192463986","https://openalex.org/W1940527083","https://openalex.org/W1978627835","https://openalex.org/W1991113069","https://openalex.org/W1993553289","https://openalex.org/W2016209919","https://openalex.org/W2047625347","https://openalex.org/W2057220024","https://openalex.org/W2087734514","https://openalex.org/W2107341511","https://openalex.org/W2127015978","https://openalex.org/W2128339594","https://openalex.org/W2133279414","https://openalex.org/W2156575092","https://openalex.org/W2164286848","https://openalex.org/W2166038949","https://openalex.org/W2201752477","https://openalex.org/W2483428759","https://openalex.org/W2496526329","https://openalex.org/W2496985465","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W946352265","https://openalex.org/W3164276969","https://openalex.org/W3020787026","https://openalex.org/W2999616507","https://openalex.org/W2364741597","https://openalex.org/W2043671984","https://openalex.org/W2029287765","https://openalex.org/W2006251942","https://openalex.org/W1864774435","https://openalex.org/W1492103595"],"abstract_inverted_index":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1980787175","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-01-05T04:47:42.709966","created_date":"2016-06-24"}