{"id":"https://openalex.org/W2039579374","doi":"https://doi.org/10.1109/icip.2013.6738104","title":"Fast L1 smoothing splines with an application to Kinect depth data","display_name":"Fast L1 smoothing splines with an application to Kinect depth data","publication_year":2013,"publication_date":"2013-09-01","ids":{"openalex":"https://openalex.org/W2039579374","doi":"https://doi.org/10.1109/icip.2013.6738104","mag":"2039579374"},"language":"en","primary_location":{"id":"doi:10.1109/icip.2013.6738104","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2013.6738104","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Conference on Image Processing","raw_type":"proceedings-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/A5005986086","display_name":"Mariano Tepper","orcid":"https://orcid.org/0000-0001-6053-925X"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mariano Tepper","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Duke University","Dept. of Electr. & Comput. Eng., Duke Univ., Durham, NH, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Duke University","institution_ids":["https://openalex.org/I170897317"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Duke Univ., Durham, NH, USA","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025218580","display_name":"Guillermo Sapiro","orcid":"https://orcid.org/0000-0001-9190-6964"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Guillermo Sapiro","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Duke University","Dept. of Electr. & Comput. Eng., Duke Univ., Durham, NH, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Duke University","institution_ids":["https://openalex.org/I170897317"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Duke Univ., Durham, NH, USA","institution_ids":["https://openalex.org/I170897317"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005986086"],"corresponding_institution_ids":["https://openalex.org/I170897317"],"apc_list":null,"apc_paid":null,"fwci":0.691,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.71115146,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"504","last_page":"508"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9947999715805054,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9947999715805054,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.994700014591217,"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9934999942779541,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/smoothing","display_name":"Smoothing","score":0.7549165487289429},{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.6700974106788635},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.609032154083252},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.572534441947937},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5692229866981506},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5404393076896667},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.4777488112449646},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4697171747684479},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.45333653688430786},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4244022071361542},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3756856620311737},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.355253130197525},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.27182537317276}],"concepts":[{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.7549165487289429},{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.6700974106788635},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.609032154083252},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.572534441947937},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5692229866981506},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5404393076896667},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.4777488112449646},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4697171747684479},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.45333653688430786},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4244022071361542},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3756856620311737},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.355253130197525},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.27182537317276},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/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},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icip.2013.6738104","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2013.6738104","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Conference on Image Processing","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":17,"referenced_works":["https://openalex.org/W61928934","https://openalex.org/W203133172","https://openalex.org/W1578985305","https://openalex.org/W1946620893","https://openalex.org/W1996287810","https://openalex.org/W1998999283","https://openalex.org/W2007680490","https://openalex.org/W2008473145","https://openalex.org/W2011181254","https://openalex.org/W2017132642","https://openalex.org/W2040378863","https://openalex.org/W2097795807","https://openalex.org/W2111841405","https://openalex.org/W2113075591","https://openalex.org/W2135095945","https://openalex.org/W2142058898","https://openalex.org/W6608323277"],"related_works":["https://openalex.org/W1978572805","https://openalex.org/W2383807498","https://openalex.org/W1997992934","https://openalex.org/W1987225439","https://openalex.org/W4238188170","https://openalex.org/W2125114371","https://openalex.org/W2019977573","https://openalex.org/W4213275102","https://openalex.org/W2151138761","https://openalex.org/W2158092971"],"abstract_inverted_index":{"Splines":[0],"are":[1,109],"a":[2,15,19,23,27,36,90],"popular":[3],"and":[4,26,81,89,102],"attractive":[5],"way":[6],"of":[7,22,100],"smoothing":[8,101],"noisy":[9],"data.":[10],"Computing":[11],"splines":[12],"involves":[13],"minimizing":[14],"functional":[16],"which":[17],"is":[18,32,95],"linear":[20],"combination":[21],"fitting":[24,58],"term":[25,59],"regularization":[28],"term.":[29],"The":[30,93],"former":[31],"classically":[33],"computed":[34],"using":[35],"(sometimes":[37],"weighted)":[38],"L2":[39,54],"norm":[40,55],"while":[41],"the":[42,53,57,72,98],"latter":[43],"ensures":[44],"smoothness.":[45],"In":[46],"this":[47],"work":[48],"we":[49,76],"propose":[50,77],"to":[51,65,68,97],"replace":[52],"in":[56,111],"with":[60],"an":[61,78],"L1":[62],"norm,":[63],"leading":[64],"automatic":[66],"robustness":[67],"outliers.":[69],"To":[70],"solve":[71],"resulting":[73],"minimization":[74],"problem":[75,99],"extremely":[79],"simple":[80],"efficient":[82],"numerical":[83],"scheme":[84],"based":[85],"on":[86],"split-Bregman":[87],"iteration":[88],"DCT-based":[91],"filter.":[92],"algorithm":[94],"applied":[96],"impainting":[103],"range":[104],"data,":[105],"where":[106],"high-quality":[107],"results":[108],"obtained":[110],"short":[112],"processing":[113],"times.":[114]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
