{"id":"https://openalex.org/W1997180509","doi":"https://doi.org/10.1137/s1064827502376571","title":"A Stabilized Lifting Construction of Wavelets on Irregular Meshes on the Interval","display_name":"A Stabilized Lifting Construction of Wavelets on Irregular Meshes on the Interval","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1997180509","doi":"https://doi.org/10.1137/s1064827502376571","mag":"1997180509"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827502376571","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827502376571","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/A5058662540","display_name":"Jo Simoens","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jo Simoens","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5062993526","display_name":"Stefan Vandewalle","orcid":"https://orcid.org/0000-0002-8988-2374"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Stefan Vandewalle","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058662540"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.2029,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.92208932,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"24","issue":"4","first_page":"1356","last_page":"1378"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9998000264167786,"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":0.9998000264167786,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9995999932289124,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/wavelet","display_name":"Wavelet","score":0.9015450477600098},{"id":"https://openalex.org/keywords/biorthogonal-wavelet","display_name":"Biorthogonal wavelet","score":0.8244489431381226},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8210045695304871},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.7872945070266724},{"id":"https://openalex.org/keywords/biorthogonal-system","display_name":"Biorthogonal system","score":0.7417507171630859},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.7233733534812927},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48236793279647827},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.2983839511871338},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1700470745563507},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15514981746673584},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13049399852752686},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0703611671924591}],"concepts":[{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.9015450477600098},{"id":"https://openalex.org/C2778869661","wikidata":"https://www.wikidata.org/wiki/Q4915256","display_name":"Biorthogonal wavelet","level":5,"score":0.8244489431381226},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8210045695304871},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.7872945070266724},{"id":"https://openalex.org/C158453530","wikidata":"https://www.wikidata.org/wiki/Q864692","display_name":"Biorthogonal system","level":4,"score":0.7417507171630859},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.7233733534812927},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48236793279647827},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.2983839511871338},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1700470745563507},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15514981746673584},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13049399852752686},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0703611671924591}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s1064827502376571","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827502376571","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8299999833106995,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1483446983","https://openalex.org/W1489213177","https://openalex.org/W1605597397","https://openalex.org/W1970957032","https://openalex.org/W1977851468","https://openalex.org/W2004261587","https://openalex.org/W2012164750","https://openalex.org/W2020919250","https://openalex.org/W2021589053","https://openalex.org/W2055581869","https://openalex.org/W2060573511","https://openalex.org/W2064216226","https://openalex.org/W2074992689","https://openalex.org/W2163324644","https://openalex.org/W2165506789","https://openalex.org/W3147515309","https://openalex.org/W4256555983"],"related_works":["https://openalex.org/W2016058047","https://openalex.org/W2392630444","https://openalex.org/W1979962587","https://openalex.org/W2089102937","https://openalex.org/W2393392404","https://openalex.org/W1982938998","https://openalex.org/W2143594841","https://openalex.org/W2277711487","https://openalex.org/W2094417884","https://openalex.org/W4235464119"],"abstract_inverted_index":{"We":[0,48],"propose":[1],"a":[2,38,52,58],"stabilization":[3],"of":[4,9,41],"the":[5,18,27,31,34,65,72,84,93],"two-step":[6],"lifting":[7],"construction":[8],"Sweldens":[10],"for":[11],"wavelet":[12,66,77],"bases":[13,24,67,78],"on":[14,17,29],"irregular":[15],"meshes":[16],"interval.":[19],"The":[20],"method":[21],"yields":[22],"biorthogonal":[23],"in":[25,92],"which":[26],"wavelets":[28],"both":[30],"primal":[32],"and":[33,44],"dual":[35],"side":[36],"have":[37,45],"chosen":[39],"number":[40],"vanishing":[42],"moments":[43],"local":[46,54],"support.":[47],"combine":[49],"it":[50],"with":[51],"constrained":[53],"semiorthogonalization":[55],"to":[56],"obtain":[57],"stabilized":[59],"variant.":[60],"Numerical":[61],"results":[62],"show":[63],"that":[64],"are":[68],"well-conditioned,":[69],"having":[70],"approximately":[71],"same":[73],"condition":[74],"numbers":[75],"as":[76],"obtained":[79],"by":[80],"global":[81],"semiorthogonalization,":[82],"while":[83],"average":[85],"support":[86],"is":[87],"not":[88],"much":[89],"larger":[90],"than":[91],"unstabilized":[94],"construction.":[95]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}