{"id":"https://openalex.org/W1976492685","doi":"https://doi.org/10.1137/100802785","title":"Contour Stencils: Total Variation along Curves for Adaptive Image Interpolation","display_name":"Contour Stencils: Total Variation along Curves for Adaptive Image Interpolation","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1976492685","doi":"https://doi.org/10.1137/100802785","mag":"1976492685"},"language":"en","primary_location":{"id":"doi:10.1137/100802785","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100802785","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"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 Imaging Sciences","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/A5070314054","display_name":"Pascal Getreuer","orcid":"https://orcid.org/0000-0002-7216-3330"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Pascal Getreuer","raw_affiliation_strings":["getreuer@gmail.com#TAB#"],"affiliations":[{"raw_affiliation_string":"getreuer@gmail.com#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5070314054"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.8332,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.92036908,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"4","issue":"3","first_page":"954","last_page":"979"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11105","display_name":"Advanced Image Processing Techniques","score":1.0,"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/T11105","display_name":"Advanced Image Processing Techniques","score":1.0,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9979000091552734,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9975000023841858,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.7614938020706177},{"id":"https://openalex.org/keywords/stairstep-interpolation","display_name":"Stairstep interpolation","score":0.7592370510101318},{"id":"https://openalex.org/keywords/nearest-neighbor-interpolation","display_name":"Nearest-neighbor interpolation","score":0.6479711532592773},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.6218569278717041},{"id":"https://openalex.org/keywords/deconvolution","display_name":"Deconvolution","score":0.5955972671508789},{"id":"https://openalex.org/keywords/image-scaling","display_name":"Image scaling","score":0.5541222095489502},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5530543923377991},{"id":"https://openalex.org/keywords/bicubic-interpolation","display_name":"Bicubic interpolation","score":0.5342720150947571},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5184135437011719},{"id":"https://openalex.org/keywords/multivariate-interpolation","display_name":"Multivariate interpolation","score":0.4766015410423279},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.45926085114479065},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4543336033821106},{"id":"https://openalex.org/keywords/trilinear-interpolation","display_name":"Trilinear interpolation","score":0.43599721789360046},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.4233609437942505},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.4171896278858185},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3836708664894104},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.33743613958358765},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.185706228017807}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7614938020706177},{"id":"https://openalex.org/C119768884","wikidata":"https://www.wikidata.org/wiki/Q7597108","display_name":"Stairstep interpolation","level":4,"score":0.7592370510101318},{"id":"https://openalex.org/C207214200","wikidata":"https://www.wikidata.org/wiki/Q4202129","display_name":"Nearest-neighbor interpolation","level":4,"score":0.6479711532592773},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.6218569278717041},{"id":"https://openalex.org/C174576160","wikidata":"https://www.wikidata.org/wiki/Q1183700","display_name":"Deconvolution","level":2,"score":0.5955972671508789},{"id":"https://openalex.org/C27405340","wikidata":"https://www.wikidata.org/wiki/Q440296","display_name":"Image scaling","level":4,"score":0.5541222095489502},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5530543923377991},{"id":"https://openalex.org/C49608258","wikidata":"https://www.wikidata.org/wiki/Q611705","display_name":"Bicubic interpolation","level":4,"score":0.5342720150947571},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5184135437011719},{"id":"https://openalex.org/C203332170","wikidata":"https://www.wikidata.org/wiki/Q6334079","display_name":"Multivariate interpolation","level":3,"score":0.4766015410423279},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.45926085114479065},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4543336033821106},{"id":"https://openalex.org/C188325010","wikidata":"https://www.wikidata.org/wiki/Q861176","display_name":"Trilinear interpolation","level":4,"score":0.43599721789360046},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.4233609437942505},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.4171896278858185},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3836708664894104},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.33743613958358765},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.185706228017807}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/100802785","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100802785","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"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 Imaging Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W136272581","https://openalex.org/W1480546554","https://openalex.org/W1531751296","https://openalex.org/W1545934923","https://openalex.org/W1549562450","https://openalex.org/W1910615622","https://openalex.org/W1967396645","https://openalex.org/W1982753412","https://openalex.org/W1990566152","https://openalex.org/W1993392281","https://openalex.org/W2006262236","https://openalex.org/W2014132673","https://openalex.org/W2019539553","https://openalex.org/W2031832209","https://openalex.org/W2042243302","https://openalex.org/W2043489412","https://openalex.org/W2044011870","https://openalex.org/W2050656907","https://openalex.org/W2062261913","https://openalex.org/W2065628492","https://openalex.org/W2087499062","https://openalex.org/W2091595991","https://openalex.org/W2097074225","https://openalex.org/W2102443333","https://openalex.org/W2103106600","https://openalex.org/W2103927686","https://openalex.org/W2109200779","https://openalex.org/W2111518794","https://openalex.org/W2112693869","https://openalex.org/W2113640817","https://openalex.org/W2113824004","https://openalex.org/W2116013899","https://openalex.org/W2119873157","https://openalex.org/W2120963736","https://openalex.org/W2123142395","https://openalex.org/W2130660880","https://openalex.org/W2130870457","https://openalex.org/W2133665775","https://openalex.org/W2135060412","https://openalex.org/W2136396015","https://openalex.org/W2137290314","https://openalex.org/W2139915680","https://openalex.org/W2140691054","https://openalex.org/W2140865211","https://openalex.org/W2142058898","https://openalex.org/W2150490197","https://openalex.org/W2155885713","https://openalex.org/W2170395757","https://openalex.org/W2170600821","https://openalex.org/W2172128189","https://openalex.org/W2295936755","https://openalex.org/W2320596590","https://openalex.org/W2519971170","https://openalex.org/W2534320940","https://openalex.org/W2740373864","https://openalex.org/W2971015701","https://openalex.org/W4213171111","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2352808182","https://openalex.org/W2553003891","https://openalex.org/W2036543038","https://openalex.org/W2359865259","https://openalex.org/W2355602298","https://openalex.org/W2062947881","https://openalex.org/W2356755329","https://openalex.org/W2912021003","https://openalex.org/W2382426030","https://openalex.org/W2129292412"],"abstract_inverted_index":{"Image":[0],"interpolation":[1,17,74,86,132],"is":[2,18,133],"the":[3,7,34,108,125,130],"problem":[4],"of":[5,9,16,21,50,82,110,122],"increasing":[6],"resolution":[8],"a":[10,29,60,94,119],"given":[11],"image.":[12,126],"An":[13],"important":[14],"aspect":[15],"accurate":[19],"estimation":[20],"edge":[22,71],"orientations.":[23],"This":[24],"work":[25],"introduces":[26],"contour":[27],"stencils,":[28],"new":[30],"method":[31,77,103],"for":[32],"estimating":[33],"image":[35],"contours":[36],"based":[37],"on":[38],"total":[39],"variation":[40],"along":[41],"curves.":[42],"Contour":[43,64],"stencils":[44,65],"are":[45,66],"able":[46],"to":[47],"distinguish":[48],"lines":[49],"different":[51],"orientations,":[52],"curves,":[53],"corners,":[54],"and":[55,112],"other":[56],"geometric":[57],"features":[58],"with":[59,135],"computationally":[61],"efficient":[62,80],"formula.":[63],"applied":[67],"in":[68,107,116],"designing":[69],"an":[70,79],"directed":[72],"color":[73],"method.":[75],"The":[76],"incorporates":[78],"approximation":[81],"deconvolution.":[83],"Although":[84],"most":[85],"methods":[87],"that":[88,129],"involve":[89],"deconvolution":[90],"require":[91],"either":[92],"solving":[93],"large":[95],"linear":[96,105],"system":[97],"or":[98,118],"running":[99],"many":[100],"iterations,":[101],"this":[102],"has":[104],"complexity":[106],"number":[109,121],"pixels":[111],"can":[113],"be":[114],"computed":[115],"one":[117],"small":[120],"passes":[123],"through":[124],"Comparisons":[127],"show":[128],"proposed":[131],"competitive":[134],"existing":[136],"methods.":[137]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}