{"id":"https://openalex.org/W4407005474","doi":"https://doi.org/10.1137/24m1646121","title":"Mesh Denoising and Inpainting Using the Total Variation of the Normal and a Shape Newton Approach","display_name":"Mesh Denoising and Inpainting Using the Total Variation of the Normal and a Shape Newton Approach","publication_year":2025,"publication_date":"2025-01-31","ids":{"openalex":"https://openalex.org/W4407005474","doi":"https://doi.org/10.1137/24m1646121"},"language":"en","primary_location":{"id":"doi:10.1137/24m1646121","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1646121","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"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/A5116091827","display_name":"Lukas Baumg\u00e4rtner","orcid":"https://orcid.org/0000-0003-1007-4815"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Lukas Baumg\u00e4rtner","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Humboldt University of Berlin, 10099 Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Humboldt University of Berlin, 10099 Berlin, Germany","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5106698931","display_name":"Ronny Bergmann","orcid":"https://orcid.org/0000-0001-8342-7218"},"institutions":[{"id":"https://openalex.org/I204778367","display_name":"Norwegian University of Science and Technology","ror":"https://ror.org/05xg72x27","country_code":"NO","type":"education","lineage":["https://openalex.org/I204778367"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Ronny Bergmann","raw_affiliation_strings":["Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, 7034, Norway"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, 7034, Norway","institution_ids":["https://openalex.org/I204778367"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070215713","display_name":"Roland Herzog","orcid":"https://orcid.org/0000-0003-2164-6575"},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Roland Herzog","raw_affiliation_strings":["Interdisciplinary Center for Scientific Computing, Heidelberg University, 69120 Heidelberg, Germany"],"affiliations":[{"raw_affiliation_string":"Interdisciplinary Center for Scientific Computing, Heidelberg University, 69120 Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101955827","display_name":"Stephan Schmidt","orcid":"https://orcid.org/0000-0002-4888-0794"},"institutions":[{"id":"https://openalex.org/I89864525","display_name":"Universit\u00e4t Trier","ror":"https://ror.org/02778hg05","country_code":"DE","type":"education","lineage":["https://openalex.org/I89864525"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Stephan Schmidt","raw_affiliation_strings":["University of Trier, Universit\u00e4tsring 15, 54296 Trier, Germany"],"affiliations":[{"raw_affiliation_string":"University of Trier, Universit\u00e4tsring 15, 54296 Trier, Germany","institution_ids":["https://openalex.org/I89864525"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028553424","display_name":"Jos\u00e9 Vidal-N\u00fa\u00f1ez","orcid":"https://orcid.org/0000-0002-1190-6700"},"institutions":[{"id":"https://openalex.org/I189268942","display_name":"Universidad de Alcal\u00e1","ror":"https://ror.org/04pmn0e78","country_code":"ES","type":"education","lineage":["https://openalex.org/I189268942"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 Vidal-N\u00fa\u00f1ez","raw_affiliation_strings":["Department of Physics and Mathematics, University of Alcal\u00e1, 28801 Alcal\u00e1 de Henares, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Physics and Mathematics, University of Alcal\u00e1, 28801 Alcal\u00e1 de Henares, Spain","institution_ids":["https://openalex.org/I189268942"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000894382","display_name":"Manuel Wei\u00df","orcid":"https://orcid.org/0000-0001-6241-3650"},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Manuel Wei\u00df","raw_affiliation_strings":["Interdisciplinary Center for Scientific Computing, Heidelberg University, 69120 Heidelberg, Germany"],"affiliations":[{"raw_affiliation_string":"Interdisciplinary Center for Scientific Computing, Heidelberg University, 69120 Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5116091827"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.8239,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.8612731,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"47","issue":"1","first_page":"A300","last_page":"A324"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/mathematics","display_name":"Mathematics","score":0.8066543340682983},{"id":"https://openalex.org/keywords/inpainting","display_name":"Inpainting","score":0.6725022792816162},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.5536089539527893},{"id":"https://openalex.org/keywords/total-variation-denoising","display_name":"Total variation denoising","score":0.5159167051315308},{"id":"https://openalex.org/keywords/variation","display_name":"Variation (astronomy)","score":0.5058517456054688},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.48583361506462097},{"id":"https://openalex.org/keywords/image-denoising","display_name":"Image denoising","score":0.4118443727493286},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3920961022377014},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3900628089904785},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38215136528015137},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3434514105319977},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19337353110313416},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.1633927822113037},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.15479737520217896},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11621236801147461},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0746111273765564}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8066543340682983},{"id":"https://openalex.org/C11727466","wikidata":"https://www.wikidata.org/wiki/Q1628157","display_name":"Inpainting","level":3,"score":0.6725022792816162},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.5536089539527893},{"id":"https://openalex.org/C207282899","wikidata":"https://www.wikidata.org/wiki/Q7828156","display_name":"Total variation denoising","level":3,"score":0.5159167051315308},{"id":"https://openalex.org/C2778334786","wikidata":"https://www.wikidata.org/wiki/Q1586270","display_name":"Variation (astronomy)","level":2,"score":0.5058517456054688},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.48583361506462097},{"id":"https://openalex.org/C2983327147","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Image denoising","level":3,"score":0.4118443727493286},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3920961022377014},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3900628089904785},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38215136528015137},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3434514105319977},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19337353110313416},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.1633927822113037},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.15479737520217896},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11621236801147461},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0746111273765564},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/24m1646121","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1646121","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:ebuah.uah.es:10017/64693","is_oa":false,"landing_page_url":"http://hdl.handle.net/10017/64693","pdf_url":null,"source":{"id":"https://openalex.org/S7407055200","display_name":"e_Buah","issn_l":null,"issn":null,"is_oa":false,"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":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/acceptedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3296639178","display_name":null,"funder_award_id":"HE 6077/10-2","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G4009289006","display_name":null,"funder_award_id":"SCHM 3248/2-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7311406271","display_name":null,"funder_award_id":"SCHM 3248/2-2","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G8269064541","display_name":null,"funder_award_id":"HE 6077/10-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W78278162","https://openalex.org/W136272581","https://openalex.org/W1971169262","https://openalex.org/W1975323734","https://openalex.org/W1985527876","https://openalex.org/W1996724333","https://openalex.org/W2000320458","https://openalex.org/W2042460596","https://openalex.org/W2048427115","https://openalex.org/W2079965817","https://openalex.org/W2092785747","https://openalex.org/W2097335885","https://openalex.org/W2097869901","https://openalex.org/W2099244020","https://openalex.org/W2103559027","https://openalex.org/W2108087216","https://openalex.org/W2109452619","https://openalex.org/W2114487471","https://openalex.org/W2116014169","https://openalex.org/W2125065112","https://openalex.org/W2142058898","https://openalex.org/W2143607173","https://openalex.org/W2155280009","https://openalex.org/W2171542563","https://openalex.org/W2287328596","https://openalex.org/W2358992035","https://openalex.org/W2491337109","https://openalex.org/W2511572883","https://openalex.org/W2523352299","https://openalex.org/W2551040565","https://openalex.org/W2737694991","https://openalex.org/W2799349463","https://openalex.org/W2888554480","https://openalex.org/W2917446510","https://openalex.org/W2963738216","https://openalex.org/W2969518683","https://openalex.org/W2988621903","https://openalex.org/W2998590421","https://openalex.org/W3016567034","https://openalex.org/W3104580727","https://openalex.org/W3111054336","https://openalex.org/W3118211547","https://openalex.org/W3198608862","https://openalex.org/W4213056734","https://openalex.org/W4242723867","https://openalex.org/W4248832927","https://openalex.org/W4292363360","https://openalex.org/W4293183906","https://openalex.org/W4301014524","https://openalex.org/W4385335776"],"related_works":["https://openalex.org/W3033981387","https://openalex.org/W2495078643","https://openalex.org/W3010678772","https://openalex.org/W2944624955","https://openalex.org/W2889253769","https://openalex.org/W2559187321","https://openalex.org/W2612397051","https://openalex.org/W1490451209","https://openalex.org/W2586189899","https://openalex.org/W2087258800"],"abstract_inverted_index":{"This":[0],"paper":[1,43],"has":[2],"been":[3],"awarded":[4],"the":[5,17,27,39,50],"\u201cSIAM":[6],"Reproducibility":[7],"Badge:":[8],"Code":[9,31],"and":[10,26,32,48],"data":[11,33],"available\u201d":[12],"as":[13],"a":[14],"recognition":[15],"that":[16,34],"authors":[18],"have":[19],"followed":[20],"reproducibility":[21],"principles":[22],"valued":[23],"by":[24],"SISC":[25],"scientific":[28],"computing":[29],"community.":[30],"allow":[35],"readers":[36],"to":[37],"reproduce":[38],"results":[40],"in":[41,49],"this":[42],"are":[44],"available":[45],"at":[46],"https://github.com/LukasBaumgaertner/tv-of-normal-newton-code":[47],"supplementary":[51],"materials":[52],"(tv-of-normal-newton-code-main.zip":[53],"[1.92MB]).":[54]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-18T14:38:29.013473","created_date":"2025-01-31T00:00:00"}
