{"id":"https://openalex.org/W2030877982","doi":"https://doi.org/10.1109/iscas.2010.5537457","title":"Comparison of Haar wavelet-based and Poisson-based numerical integration techniques","display_name":"Comparison of Haar wavelet-based and Poisson-based numerical integration techniques","publication_year":2010,"publication_date":"2010-05-01","ids":{"openalex":"https://openalex.org/W2030877982","doi":"https://doi.org/10.1109/iscas.2010.5537457","mag":"2030877982"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2010.5537457","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2010.5537457","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of 2010 IEEE International Symposium on Circuits and Systems","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":"https://openalex.org/A5109947289","display_name":"Peter J. Hampton","orcid":null},"institutions":[{"id":"https://openalex.org/I212119943","display_name":"University of Victoria","ror":"https://ror.org/04s5mat29","country_code":"CA","type":"education","lineage":["https://openalex.org/I212119943"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Peter J. Hampton","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Victoria, Victoria, BC, Canada","Department of Electrical and, Computer Engineering University of Victoria, Victoria, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Victoria, Victoria, BC, Canada","institution_ids":["https://openalex.org/I212119943"]},{"raw_affiliation_string":"Department of Electrical and, Computer Engineering University of Victoria, Victoria, Canada","institution_ids":["https://openalex.org/I212119943"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111907556","display_name":"Pan Agathoklis","orcid":null},"institutions":[{"id":"https://openalex.org/I212119943","display_name":"University of Victoria","ror":"https://ror.org/04s5mat29","country_code":"CA","type":"education","lineage":["https://openalex.org/I212119943"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Pan Agathoklis","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Victoria, Victoria, BC, Canada","Department of Electrical and, Computer Engineering University of Victoria, Victoria, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Victoria, Victoria, BC, Canada","institution_ids":["https://openalex.org/I212119943"]},{"raw_affiliation_string":"Department of Electrical and, Computer Engineering University of Victoria, Victoria, Canada","institution_ids":["https://openalex.org/I212119943"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6458,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.70152243,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1623","last_page":"1626"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11105","display_name":"Advanced Image Processing Techniques","score":0.9994000196456909,"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":0.9994000196456909,"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/T12015","display_name":"Photoacoustic and Ultrasonic Imaging","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9988999962806702,"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/haar-wavelet","display_name":"Haar wavelet","score":0.773047924041748},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.6980534791946411},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.5803741216659546},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5646572113037109},{"id":"https://openalex.org/keywords/haar","display_name":"Haar","score":0.5601849555969238},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5219040513038635},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.47430089116096497},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.47050875425338745},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46411165595054626},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.44669389724731445},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.44499412178993225},{"id":"https://openalex.org/keywords/wavelet-packet-decomposition","display_name":"Wavelet packet decomposition","score":0.42076507210731506},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41403675079345703},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38667863607406616},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35448259115219116},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3402021527290344},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3290157914161682},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.3085899353027344},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.05626508593559265}],"concepts":[{"id":"https://openalex.org/C2780423554","wikidata":"https://www.wikidata.org/wiki/Q766198","display_name":"Haar wavelet","level":5,"score":0.773047924041748},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.6980534791946411},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.5803741216659546},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5646572113037109},{"id":"https://openalex.org/C187029792","wikidata":"https://www.wikidata.org/wiki/Q2179112","display_name":"Haar","level":3,"score":0.5601849555969238},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5219040513038635},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.47430089116096497},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.47050875425338745},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46411165595054626},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.44669389724731445},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.44499412178993225},{"id":"https://openalex.org/C155777637","wikidata":"https://www.wikidata.org/wiki/Q2736187","display_name":"Wavelet packet decomposition","level":4,"score":0.42076507210731506},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41403675079345703},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38667863607406616},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35448259115219116},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3402021527290344},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3290157914161682},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.3085899353027344},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.05626508593559265},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iscas.2010.5537457","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2010.5537457","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of 2010 IEEE International Symposium on Circuits and Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1982951634","https://openalex.org/W2013625699","https://openalex.org/W2035180740","https://openalex.org/W2053164957","https://openalex.org/W2057243908","https://openalex.org/W2058929179","https://openalex.org/W2068545090","https://openalex.org/W2070604790","https://openalex.org/W2089914745","https://openalex.org/W2114245607","https://openalex.org/W2118822480","https://openalex.org/W2136320194","https://openalex.org/W2138127543","https://openalex.org/W2500965032"],"related_works":["https://openalex.org/W4361795924","https://openalex.org/W984746159","https://openalex.org/W2766849256","https://openalex.org/W1523827626","https://openalex.org/W1999916501","https://openalex.org/W4232769230","https://openalex.org/W2005569824","https://openalex.org/W2380372197","https://openalex.org/W4239324723","https://openalex.org/W1749665274"],"abstract_inverted_index":{"This":[0],"paper":[1,35],"shows":[2],"performance":[3],"and":[4],"computation":[5],"trade-offs":[6],"of":[7,16,57,78],"two":[8],"approaches":[9,80],"to":[10,71,82],"2-D":[11],"numerical":[12],"integration.":[13],"The":[14,29,75],"speed":[15],"convergence":[17],"on":[18,67],"a":[19],"digital":[20],"photograph":[21],"is":[22,36,52,65,81,94],"shown":[23,32],"for":[24,40],"the":[25,41,50,58,61,73,84,91],"Jacobi-based":[26],"Poisson":[27,63],"algorithm.":[28],"alternate":[30],"approach":[31,70],"in":[33],"this":[34,55,68],"one":[37],"that":[38],"solves":[39],"Haar":[42],"wavelet":[43,69],"decomposition":[44],"directly":[45],"from":[46,54],"gradient":[47,88],"measurements.":[48],"Then":[49],"image":[51,85,92],"obtained":[53],"estimate":[56],"decomposition.":[59],"Finally,":[60],"same":[62],"algorithm":[64],"performed":[66],"improve":[72],"results.":[74],"intended":[76],"application":[77],"these":[79],"determine":[83],"associated":[86],"with":[87],"measurements":[89],"when":[90],"itself":[93],"unknown.":[95]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
