{"id":"https://openalex.org/W1976148381","doi":"https://doi.org/10.1109/pcs.2009.5167422","title":"Nonparametric least squares regression for image reconstruction on the sphere","display_name":"Nonparametric least squares regression for image reconstruction on the sphere","publication_year":2009,"publication_date":"2009-05-01","ids":{"openalex":"https://openalex.org/W1976148381","doi":"https://doi.org/10.1109/pcs.2009.5167422","mag":"1976148381"},"language":"en","primary_location":{"id":"doi:10.1109/pcs.2009.5167422","is_oa":false,"landing_page_url":"https://doi.org/10.1109/pcs.2009.5167422","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 Picture Coding Symposium","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/130382","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040557364","display_name":"Tamara To\u0161i\u0107","orcid":"https://orcid.org/0009-0006-8771-2693"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Tamara Tosic","raw_affiliation_strings":["Signal Processing Laboratory, Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","Signal Processing Laboratory (LTS4), Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), 1015 - Switzerland#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Signal Processing Laboratory, Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Signal Processing Laboratory (LTS4), Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), 1015 - Switzerland#TAB#","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067039588","display_name":"Ivana To\u0161i\u0107","orcid":"https://orcid.org/0000-0002-7259-8828"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Ivana Tosic","raw_affiliation_strings":["Signal Processing Laboratory, Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","Signal Processing Laboratory (LTS4), Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), 1015 - Switzerland#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Signal Processing Laboratory, Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Signal Processing Laboratory (LTS4), Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), 1015 - Switzerland#TAB#","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000947076","display_name":"Pascal Frossard","orcid":"https://orcid.org/0000-0002-4010-714X"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Pascal Frossard","raw_affiliation_strings":["Signal Processing Laboratory, Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","Signal Processing Laboratory (LTS4), Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), 1015 - Switzerland#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Signal Processing Laboratory, Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Signal Processing Laboratory (LTS4), Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), 1015 - Switzerland#TAB#","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3285,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57544528,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.998199999332428,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.998199999332428,"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/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9972000122070312,"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9954000115394592,"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":0.7567908763885498},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.663588285446167},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6058204174041748},{"id":"https://openalex.org/keywords/nonparametric-statistics","display_name":"Nonparametric statistics","score":0.49708226323127747},{"id":"https://openalex.org/keywords/nonparametric-regression","display_name":"Nonparametric regression","score":0.4879002273082733},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48024919629096985},{"id":"https://openalex.org/keywords/nearest-neighbor-interpolation","display_name":"Nearest-neighbor interpolation","score":0.47828802466392517},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.47763267159461975},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.46075233817100525},{"id":"https://openalex.org/keywords/image-scaling","display_name":"Image scaling","score":0.4332137107849121},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.42943522334098816},{"id":"https://openalex.org/keywords/k-nearest-neighbors-algorithm","display_name":"k-nearest neighbors algorithm","score":0.4255833327770233},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.42001962661743164},{"id":"https://openalex.org/keywords/multivariate-interpolation","display_name":"Multivariate interpolation","score":0.39466679096221924},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38979217410087585},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36909520626068115},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.32493874430656433},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.25041913986206055},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.1949751377105713},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.19209864735603333},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14071473479270935}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7567908763885498},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.663588285446167},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6058204174041748},{"id":"https://openalex.org/C102366305","wikidata":"https://www.wikidata.org/wiki/Q1097688","display_name":"Nonparametric statistics","level":2,"score":0.49708226323127747},{"id":"https://openalex.org/C74127309","wikidata":"https://www.wikidata.org/wiki/Q3455886","display_name":"Nonparametric regression","level":3,"score":0.4879002273082733},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48024919629096985},{"id":"https://openalex.org/C207214200","wikidata":"https://www.wikidata.org/wiki/Q4202129","display_name":"Nearest-neighbor interpolation","level":4,"score":0.47828802466392517},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.47763267159461975},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.46075233817100525},{"id":"https://openalex.org/C27405340","wikidata":"https://www.wikidata.org/wiki/Q440296","display_name":"Image scaling","level":4,"score":0.4332137107849121},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.42943522334098816},{"id":"https://openalex.org/C113238511","wikidata":"https://www.wikidata.org/wiki/Q1071612","display_name":"k-nearest neighbors algorithm","level":2,"score":0.4255833327770233},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.42001962661743164},{"id":"https://openalex.org/C203332170","wikidata":"https://www.wikidata.org/wiki/Q6334079","display_name":"Multivariate interpolation","level":3,"score":0.39466679096221924},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38979217410087585},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36909520626068115},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32493874430656433},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.25041913986206055},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.1949751377105713},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.19209864735603333},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14071473479270935},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/pcs.2009.5167422","is_oa":false,"landing_page_url":"https://doi.org/10.1109/pcs.2009.5167422","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 Picture Coding Symposium","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.193.9532","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.193.9532","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:infoscience.epfl.ch:130382","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/130382","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:130382","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/130382","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1967969088","https://openalex.org/W2024866217","https://openalex.org/W2047853863","https://openalex.org/W2245534560","https://openalex.org/W2799061466","https://openalex.org/W4244494905","https://openalex.org/W4388290870"],"related_works":["https://openalex.org/W2352808182","https://openalex.org/W2071815454","https://openalex.org/W3152141443","https://openalex.org/W2036543038","https://openalex.org/W2265893536","https://openalex.org/W1956240806","https://openalex.org/W2162238560","https://openalex.org/W1606124777","https://openalex.org/W4293094256","https://openalex.org/W2018784777"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,33,51,59,77,81,88],"problem":[4],"of":[5,37],"interpolating":[6],"signals":[7],"defined":[8],"on":[9,22,80],"a":[10],"2-d":[11],"sphere":[12],"from":[13],"non-uniform":[14],"samples.":[15],"We":[16,43],"present":[17],"an":[18],"interpolation":[19,55,83],"method":[20,53,69,89],"based":[21],"locally":[23],"weighted":[24],"linear":[25],"and":[26],"nonlinear":[27],"regression,":[28],"which":[29,75],"takes":[30],"into":[31],"account":[32],"differences":[34],"in":[35,64,87,91],"importance":[36],"neighboring":[38],"samples":[39],"for":[40,46],"signal":[41],"reconstruction.":[42],"show":[44],"that":[45],"optimal":[47],"kernel":[48],"function":[49],"variance,":[50],"proposed":[52],"performs":[54],"more":[56],"accurately":[57],"than":[58],"nearest":[60],"neighbor":[61],"method,":[62],"especially":[63],"noisy":[65],"conditions.":[66],"Moreover,":[67],"this":[68],"does":[70],"not":[71],"have":[72],"memory":[73],"limitations":[74],"set":[76],"upper":[78],"bound":[79],"possible":[82],"points":[84],"number,":[85],"like":[86],"presented":[90],"[1].":[92]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
