{"id":"https://openalex.org/W2120281634","doi":"https://doi.org/10.1109/icip.2010.5651989","title":"Constructing a sparse convolution matrix for shift varying image restoration problems","display_name":"Constructing a sparse convolution matrix for shift varying image restoration problems","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W2120281634","doi":"https://doi.org/10.1109/icip.2010.5651989","mag":"2120281634"},"language":"en","primary_location":{"id":"doi:10.1109/icip.2010.5651989","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2010.5651989","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Conference on Image Processing","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/A5007938446","display_name":"Stanley H. Chan","orcid":"https://orcid.org/0000-0001-5876-2073"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Stanley H. Chan","raw_affiliation_strings":["ECE Department, University of California, San Diego, La Jolla, CA, USA","[ECE Dept, UCSD, La Jolla, CA 92092-0407, USA]"],"affiliations":[{"raw_affiliation_string":"ECE Department, University of California, San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"[ECE Dept, UCSD, La Jolla, CA 92092-0407, USA]","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5007938446"],"corresponding_institution_ids":["https://openalex.org/I36258959"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.17823318,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"3601","last_page":"3604"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing 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/T10500","display_name":"Sparse and Compressive Sensing 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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9997000098228455,"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/T10688","display_name":"Image and Signal Denoising Methods","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"}}],"keywords":[{"id":"https://openalex.org/keywords/deblurring","display_name":"Deblurring","score":0.8432214260101318},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.6952333450317383},{"id":"https://openalex.org/keywords/image-restoration","display_name":"Image restoration","score":0.5829548239707947},{"id":"https://openalex.org/keywords/overlap\u2013add-method","display_name":"Overlap\u2013add method","score":0.5529935359954834},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.5149270296096802},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5038196444511414},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.49764421582221985},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4763522148132324},{"id":"https://openalex.org/keywords/circular-convolution","display_name":"Circular convolution","score":0.4645889103412628},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.36327314376831055},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36228370666503906},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33453935384750366},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.29624590277671814},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.21274924278259277},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14524129033088684},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.08303943276405334},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.08283346891403198}],"concepts":[{"id":"https://openalex.org/C2777693668","wikidata":"https://www.wikidata.org/wiki/Q25053743","display_name":"Deblurring","level":5,"score":0.8432214260101318},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.6952333450317383},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.5829548239707947},{"id":"https://openalex.org/C181002996","wikidata":"https://www.wikidata.org/wiki/Q1611641","display_name":"Overlap\u2013add method","level":5,"score":0.5529935359954834},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.5149270296096802},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5038196444511414},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.49764421582221985},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4763522148132324},{"id":"https://openalex.org/C194980680","wikidata":"https://www.wikidata.org/wiki/Q245450","display_name":"Circular convolution","level":5,"score":0.4645889103412628},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.36327314376831055},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36228370666503906},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33453935384750366},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.29624590277671814},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.21274924278259277},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14524129033088684},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.08303943276405334},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.08283346891403198},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icip.2010.5651989","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2010.5651989","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Conference on Image Processing","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.645.1292","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.645.1292","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://videoprocessing.ucsd.edu/publications/Year_2010/2010_24_Chan.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.4099999964237213,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W2005089986","https://openalex.org/W2030058292","https://openalex.org/W2097897435","https://openalex.org/W2114424556","https://openalex.org/W4246327874"],"related_works":["https://openalex.org/W4372260258","https://openalex.org/W2759540840","https://openalex.org/W2267589039","https://openalex.org/W2896646958","https://openalex.org/W2100476607","https://openalex.org/W2521236063","https://openalex.org/W4214828408","https://openalex.org/W2120281634","https://openalex.org/W2145522134","https://openalex.org/W2196313388"],"abstract_inverted_index":{"Convolution":[0],"operator":[1,5,28],"is":[2,20,68],"a":[3,8,52],"linear":[4],"characterized":[6,31],"by":[7,32],"point":[9],"spread":[10],"functions":[11],"(PSF).":[12],"In":[13,81],"classical":[14],"image":[15],"restoration":[16],"problems,":[17,65],"the":[18,26,61,66,73,91,97,101,109,118],"blur":[19,67],"usually":[21],"shift":[22,69],"invariant":[23],"and":[24,71,104],"so":[25,72],"convolution":[27,92,102,119,127],"can":[29,76],"be":[30,77],"one":[33,39],"single":[34],"PSF.":[35],"This":[36],"assumption":[37],"allows":[38],"to":[40,50,79,89,108,114],"use":[41],"fast":[42],"operations":[43],"such":[44],"as":[45,57],"Fast":[46],"Fourier":[47],"Transform":[48],"(FFT)":[49],"perform":[51],"matrix-vector":[53,74],"computation":[54],"efficiently.":[55],"However,":[56],"in":[58],"most":[59],"of":[60,100],"video":[62],"motion":[63],"deblurring":[64],"variant":[70],"multiplication":[75],"difficult":[78],"perform.":[80],"this":[82],"paper,":[83],"we":[84],"propose":[85],"an":[86],"efficient":[87],"method":[88],"construct":[90],"matrix":[93,103,120],"explicitly.":[94],"We":[95],"exploit":[96],"submatrix":[98],"structure":[99],"systematically":[105],"assigning":[106],"values":[107],"nonzero":[110],"locations.":[111],"For":[112],"small":[113],"medium":[115],"sized":[116],"images,":[117],"gives":[121],"superior":[122],"speed":[123],"than":[124],"some":[125],"state-of-art":[126],"operators.":[128]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
