{"id":"https://openalex.org/W4297671820","doi":"https://doi.org/10.1007/978-1-4939-0790-8_28","title":"Splines and Multiresolution Analysis","display_name":"Splines and Multiresolution Analysis","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W4297671820","doi":"https://doi.org/10.1007/978-1-4939-0790-8_28"},"language":"en","primary_location":{"id":"doi:10.1007/978-1-4939-0790-8_28","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4939-0790-8_28","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Handbook of Mathematical Methods in Imaging","raw_type":"book-chapter"},"type":"book-chapter","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/A5011678187","display_name":"Brigitte Forster","orcid":"https://orcid.org/0000-0002-7586-2970"},"institutions":[{"id":"https://openalex.org/I186354981","display_name":"University of Passau","ror":"https://ror.org/05ydjnb78","country_code":"DE","type":"education","lineage":["https://openalex.org/I186354981"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Brigitte Forster","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Informatik und Mathematik, Universit\u00e4t Passau, Innstra\u00dfe 33, 93042, Passau, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Informatik und Mathematik, Universit\u00e4t Passau, Innstra\u00dfe 33, 93042, Passau, Germany","institution_ids":["https://openalex.org/I186354981"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5011678187"],"corresponding_institution_ids":["https://openalex.org/I186354981"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.58152003,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1675","last_page":"1716"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9995999932289124,"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":0.9995999932289124,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9966999888420105,"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":0.9926000237464905,"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/spline","display_name":"Spline (mechanical)","score":0.6960381865501404},{"id":"https://openalex.org/keywords/box-spline","display_name":"Box spline","score":0.6890014410018921},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5990564227104187},{"id":"https://openalex.org/keywords/multiresolution-analysis","display_name":"Multiresolution analysis","score":0.5873031616210938},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5260453224182129},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49133220314979553},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.474959135055542},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3250075876712799},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2864007353782654},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.2149880826473236},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20530304312705994},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.1991366744041443},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.12078425288200378}],"concepts":[{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.6960381865501404},{"id":"https://openalex.org/C78383375","wikidata":"https://www.wikidata.org/wiki/Q4951620","display_name":"Box spline","level":4,"score":0.6890014410018921},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5990564227104187},{"id":"https://openalex.org/C121927907","wikidata":"https://www.wikidata.org/wiki/Q1952516","display_name":"Multiresolution analysis","level":5,"score":0.5873031616210938},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5260453224182129},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49133220314979553},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.474959135055542},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3250075876712799},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2864007353782654},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.2149880826473236},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20530304312705994},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.1991366744041443},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.12078425288200378},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.0},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-1-4939-0790-8_28","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4939-0790-8_28","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Handbook of Mathematical Methods in Imaging","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6700000166893005,"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":59,"referenced_works":["https://openalex.org/W629836974","https://openalex.org/W1486874193","https://openalex.org/W1491704275","https://openalex.org/W1548434036","https://openalex.org/W1550152946","https://openalex.org/W1577925588","https://openalex.org/W1974960269","https://openalex.org/W1975474302","https://openalex.org/W1985845479","https://openalex.org/W1988170213","https://openalex.org/W1992720634","https://openalex.org/W1996765441","https://openalex.org/W2002675820","https://openalex.org/W2019000035","https://openalex.org/W2050921210","https://openalex.org/W2060968961","https://openalex.org/W2072116332","https://openalex.org/W2073431334","https://openalex.org/W2077925928","https://openalex.org/W2078122606","https://openalex.org/W2079088811","https://openalex.org/W2079197167","https://openalex.org/W2081422337","https://openalex.org/W2082212568","https://openalex.org/W2087309114","https://openalex.org/W2094507611","https://openalex.org/W2101287554","https://openalex.org/W2101675075","https://openalex.org/W2103504761","https://openalex.org/W2103763210","https://openalex.org/W2108862142","https://openalex.org/W2115721711","https://openalex.org/W2115755118","https://openalex.org/W2119667497","https://openalex.org/W2123763652","https://openalex.org/W2142195632","https://openalex.org/W2143415997","https://openalex.org/W2154003217","https://openalex.org/W2158228464","https://openalex.org/W2162660532","https://openalex.org/W2164697291","https://openalex.org/W2165066371","https://openalex.org/W2167187798","https://openalex.org/W2501244694","https://openalex.org/W2566785243","https://openalex.org/W2567032824","https://openalex.org/W4205545340","https://openalex.org/W4233782503","https://openalex.org/W4240492426","https://openalex.org/W4242546747","https://openalex.org/W4243872399","https://openalex.org/W4251512373","https://openalex.org/W4253117982","https://openalex.org/W4255256184","https://openalex.org/W4255272544","https://openalex.org/W4292170079","https://openalex.org/W4388322023","https://openalex.org/W6630203946","https://openalex.org/W6636246227"],"related_works":["https://openalex.org/W1992724775","https://openalex.org/W2380529683","https://openalex.org/W4302598424","https://openalex.org/W3097078770","https://openalex.org/W2165066371","https://openalex.org/W2130355919","https://openalex.org/W1559256410","https://openalex.org/W2107430952","https://openalex.org/W2905166033","https://openalex.org/W1029391197"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}