{"id":"https://openalex.org/W2296729640","doi":"https://doi.org/10.1109/dagstuhl.1997.1423105","title":"Wiener Splines","display_name":"Wiener Splines","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W2296729640","doi":"https://doi.org/10.1109/dagstuhl.1997.1423105","mag":"2296729640"},"language":"en","primary_location":{"id":"doi:10.1109/dagstuhl.1997.1423105","is_oa":false,"landing_page_url":"https://doi.org/10.1109/dagstuhl.1997.1423105","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Scientific Visualization Conference (dagstuhl '97)","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":null,"display_name":"M.H. Gross","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"M.H. Gross","raw_affiliation_strings":["Computer Science Department, ETH Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074709055","display_name":"D. Kleiner","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"D. Kleiner","raw_affiliation_strings":["Computer Science Department, ETH Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I35440088"],"apc_list":null,"apc_paid":null,"fwci":0.5683,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.70341975,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"83","last_page":"83"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9919000267982483,"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"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9908999800682068,"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/wiener-filter","display_name":"Wiener filter","score":0.7324722409248352},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.6447564959526062},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6281931400299072},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4798959493637085},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.47984763979911804},{"id":"https://openalex.org/keywords/thin-plate-spline","display_name":"Thin plate spline","score":0.4773818850517273},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.4668503403663635},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.46582528948783875},{"id":"https://openalex.org/keywords/smoothing-spline","display_name":"Smoothing spline","score":0.45665183663368225},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43742096424102783},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.4320889115333557},{"id":"https://openalex.org/keywords/curve-fitting","display_name":"Curve fitting","score":0.42489010095596313},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.41186702251434326},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.2630767822265625},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25871533155441284},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22461631894111633},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.08232492208480835}],"concepts":[{"id":"https://openalex.org/C18537770","wikidata":"https://www.wikidata.org/wiki/Q25523","display_name":"Wiener filter","level":2,"score":0.7324722409248352},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.6447564959526062},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6281931400299072},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4798959493637085},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.47984763979911804},{"id":"https://openalex.org/C93132110","wikidata":"https://www.wikidata.org/wiki/Q7784288","display_name":"Thin plate spline","level":4,"score":0.4773818850517273},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.4668503403663635},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.46582528948783875},{"id":"https://openalex.org/C107457265","wikidata":"https://www.wikidata.org/wiki/Q7546460","display_name":"Smoothing spline","level":4,"score":0.45665183663368225},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43742096424102783},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.4320889115333557},{"id":"https://openalex.org/C184389593","wikidata":"https://www.wikidata.org/wiki/Q603159","display_name":"Curve fitting","level":2,"score":0.42489010095596313},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.41186702251434326},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.2630767822265625},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25871533155441284},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22461631894111633},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.08232492208480835},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"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/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","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/dagstuhl.1997.1423105","is_oa":false,"landing_page_url":"https://doi.org/10.1109/dagstuhl.1997.1423105","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Scientific Visualization Conference (dagstuhl '97)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7799999713897705,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W168531490","https://openalex.org/W1483681246","https://openalex.org/W1489213177","https://openalex.org/W1551207461","https://openalex.org/W1987959424","https://openalex.org/W2000366549","https://openalex.org/W2004464202","https://openalex.org/W2034966370","https://openalex.org/W2066813690","https://openalex.org/W2072067430","https://openalex.org/W2078263033","https://openalex.org/W2108501419","https://openalex.org/W2155632587","https://openalex.org/W2162870748","https://openalex.org/W2798506522","https://openalex.org/W2984425774","https://openalex.org/W2988564852","https://openalex.org/W2997829126","https://openalex.org/W3022893215","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2037532746","https://openalex.org/W2380799314","https://openalex.org/W2117487173","https://openalex.org/W2360413387","https://openalex.org/W2102842245","https://openalex.org/W1975728046","https://openalex.org/W1999269698","https://openalex.org/W4361795749","https://openalex.org/W2154654948","https://openalex.org/W1980922465"],"abstract_inverted_index":{"We":[0],"describe":[1],"an":[2,42],"alternative":[3],"way":[4],"of":[5,35,107,119,125],"constructing":[6],"interpolating":[7],"B-spline":[8,44],"curves,":[9],"surfaces":[10,120],"or":[11],"volumes":[12],"in":[13],"Fourier":[14,48],"space":[15],"which":[16],"can":[17,69],"be":[18,70],"used":[19],"for":[20],"visualization.":[21],"In":[22,64],"our":[23],"approach":[24,49],"the":[25,78,96,108,117],"interpolation":[26],"problem":[27],"is":[28,38,99,111],"considered":[29],"from":[30,77],"a":[31,85],"signal":[32],"processing":[33],"point":[34],"view":[36],"and":[37,61,75,82,101],"reduced":[39],"to":[40,72,83,103],"finding":[41],"inverse":[43],"filter":[45],"sequence.":[46],"The":[47,105],"encompasses":[50],"some":[51,114],"advantageous":[52],"features,":[53],"such":[54],"as":[55],"successive":[56],"approximation,":[57],"compression,":[58],"fast":[59],"convolution":[60],"hardware":[62],"support.":[63],"addition,":[65],"optimal":[66],"Wiener":[67,90],"filtering":[68],"applied":[71],"remove":[73],"noise":[74],"distortions":[76],"initial":[79],"data":[80],"points":[81],"compute":[84],"smooth,":[86],"least-squares":[87],"fitting":[88,94],"\"lq":[89],"spline\".":[91],"Unlike":[92],"traditional":[93],"methods,":[95],"described":[97],"algorithm":[98],"simple":[100],"easy":[102],"implement.":[104],"performance":[106],"presented":[109],"method":[110],"illustrated":[112],"by":[113,122],"examples":[115],"showing":[116],"restoration":[118],"corrupted":[121],"various":[123],"types":[124],"distortions.":[126]},"counts_by_year":[],"updated_date":"2026-03-25T23:56:10.502304","created_date":"2016-06-24T00:00:00"}