{"id":"https://openalex.org/W1980811840","doi":"https://doi.org/10.1109/tip.2014.2378055","title":"Multiresolution Graph Fourier Transform for Compression of Piecewise Smooth Images","display_name":"Multiresolution Graph Fourier Transform for Compression of Piecewise Smooth Images","publication_year":2014,"publication_date":"2014-12-04","ids":{"openalex":"https://openalex.org/W1980811840","doi":"https://doi.org/10.1109/tip.2014.2378055","mag":"1980811840","pmid":"https://pubmed.ncbi.nlm.nih.gov/25494508"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2014.2378055","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2014.2378055","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Image Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5059045087","display_name":"Wei Hu","orcid":"https://orcid.org/0000-0002-9860-0922"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Wei Hu","raw_affiliation_strings":["Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Hong Kong","Department of Electronic and Computer Eng., Hong Kong Univ. of Science and Technology, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Hong Kong","institution_ids":["https://openalex.org/I200769079"]},{"raw_affiliation_string":"Department of Electronic and Computer Eng., Hong Kong Univ. of Science and Technology, Hong Kong","institution_ids":["https://openalex.org/I200769079"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038897476","display_name":"Gene Cheung","orcid":"https://orcid.org/0000-0002-5571-4137"},"institutions":[{"id":"https://openalex.org/I184597095","display_name":"National Institute of Informatics","ror":"https://ror.org/04ksd4g47","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1319490839","https://openalex.org/I184597095","https://openalex.org/I4210158934"]},{"id":"https://openalex.org/I200475212","display_name":"The Graduate University for Advanced Studies, SOKENDAI","ror":"https://ror.org/0516ah480","country_code":"JP","type":"education","lineage":["https://openalex.org/I200475212"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Gene Cheung","raw_affiliation_strings":["National Institute of Informatics, Graduate University for Advanced Studies, Tokyo, Japan","Nat. Inst. of Informatics, Graduate Univ. for Adv. Studies, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Institute of Informatics, Graduate University for Advanced Studies, Tokyo, Japan","institution_ids":["https://openalex.org/I184597095"]},{"raw_affiliation_string":"Nat. Inst. of Informatics, Graduate Univ. for Adv. Studies, Tokyo, Japan","institution_ids":["https://openalex.org/I200475212"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040001106","display_name":"Antonio Ortega","orcid":"https://orcid.org/0000-0001-5403-0940"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Antonio Ortega","raw_affiliation_strings":["Department of Electrical Engineering, University of Southern California, Los Angeles, CA, USA","Department of Electrical Engineering , University of Southern California , Los Angeles, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"Department of Electrical Engineering , University of Southern California , Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010546001","display_name":"Oscar C. Au","orcid":null},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Oscar C. Au","raw_affiliation_strings":["Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Hong Kong","Department of Electronic and Computer Eng., Hong Kong Univ. of Science and Technology, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Hong Kong","institution_ids":["https://openalex.org/I200769079"]},{"raw_affiliation_string":"Department of Electronic and Computer Eng., Hong Kong Univ. of Science and Technology, Hong Kong","institution_ids":["https://openalex.org/I200769079"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":13.8285,"has_fulltext":false,"cited_by_count":199,"citation_normalized_percentile":{"value":0.99208327,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"24","issue":"1","first_page":"419","last_page":"433"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11165","display_name":"Image and Video Quality Assessment","score":0.9955000281333923,"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/T11165","display_name":"Image and Video Quality Assessment","score":0.9955000281333923,"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/T10741","display_name":"Video Coding and Compression Technologies","score":0.9948999881744385,"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"}},{"id":"https://openalex.org/T10901","display_name":"Advanced Data Compression Techniques","score":0.9876000285148621,"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/upsampling","display_name":"Upsampling","score":0.4880868196487427},{"id":"https://openalex.org/keywords/transform-coding","display_name":"Transform coding","score":0.4781990051269531},{"id":"https://openalex.org/keywords/discrete-cosine-transform","display_name":"Discrete cosine transform","score":0.47215747833251953},{"id":"https://openalex.org/keywords/adjacency-list","display_name":"Adjacency list","score":0.4702666699886322},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4665612280368805},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44259345531463623},{"id":"https://openalex.org/keywords/data-compression","display_name":"Data compression","score":0.4361271262168884},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4133603572845459},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41177529096603394},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3957538604736328}],"concepts":[{"id":"https://openalex.org/C110384440","wikidata":"https://www.wikidata.org/wiki/Q1143270","display_name":"Upsampling","level":3,"score":0.4880868196487427},{"id":"https://openalex.org/C169805256","wikidata":"https://www.wikidata.org/wiki/Q1361381","display_name":"Transform coding","level":4,"score":0.4781990051269531},{"id":"https://openalex.org/C2221639","wikidata":"https://www.wikidata.org/wiki/Q2877","display_name":"Discrete cosine transform","level":3,"score":0.47215747833251953},{"id":"https://openalex.org/C110484373","wikidata":"https://www.wikidata.org/wiki/Q264398","display_name":"Adjacency list","level":2,"score":0.4702666699886322},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4665612280368805},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44259345531463623},{"id":"https://openalex.org/C78548338","wikidata":"https://www.wikidata.org/wiki/Q2493","display_name":"Data compression","level":2,"score":0.4361271262168884},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4133603572845459},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41177529096603394},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3957538604736328},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tip.2014.2378055","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2014.2378055","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Image Processing","raw_type":"journal-article"},{"id":"pmid:25494508","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/25494508","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on image processing : a publication of the IEEE Signal Processing Society","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7482077906","display_name":"Interactive Multiview Video Communication System","funder_award_id":"23700136","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1556611014","https://openalex.org/W1964542086","https://openalex.org/W1965106955","https://openalex.org/W1965777286","https://openalex.org/W1976768677","https://openalex.org/W1987433133","https://openalex.org/W1996726072","https://openalex.org/W2014504480","https://openalex.org/W2021168822","https://openalex.org/W2024952661","https://openalex.org/W2050174246","https://openalex.org/W2050320982","https://openalex.org/W2057432029","https://openalex.org/W2060108852","https://openalex.org/W2064737362","https://openalex.org/W2067777933","https://openalex.org/W2069912449","https://openalex.org/W2084226153","https://openalex.org/W2088452767","https://openalex.org/W2090290321","https://openalex.org/W2095906649","https://openalex.org/W2097224497","https://openalex.org/W2097708616","https://openalex.org/W2100115174","https://openalex.org/W2106219841","https://openalex.org/W2114219389","https://openalex.org/W2117853853","https://openalex.org/W2120485259","https://openalex.org/W2121262603","https://openalex.org/W2121947440","https://openalex.org/W2127045331","https://openalex.org/W2132914434","https://openalex.org/W2140199336","https://openalex.org/W2144392304","https://openalex.org/W2158138391","https://openalex.org/W2158264942","https://openalex.org/W2158787690","https://openalex.org/W2166816543","https://openalex.org/W2172074673","https://openalex.org/W2328947764","https://openalex.org/W4254197176"],"related_works":["https://openalex.org/W2137224175","https://openalex.org/W2094583657","https://openalex.org/W1594300462","https://openalex.org/W1606460848","https://openalex.org/W2158009109","https://openalex.org/W2115252864","https://openalex.org/W1706111048","https://openalex.org/W2129927873","https://openalex.org/W2112852877","https://openalex.org/W2772846670"],"abstract_inverted_index":{"Piecewise":[0],"smooth":[1],"(PWS)":[2],"images":[3,41,229],"(e.g.,":[4],"depth":[5,225],"maps":[6,226],"or":[7],"animation":[8],"images)":[9],"contain":[10],"unique":[11],"signal":[12,30,52],"characteristics":[13],"such":[14,77,120],"as":[15,78,121,230],"sharp":[16,188],"object":[17,189],"boundaries":[18,180,190],"and":[19,68,124,149,173,213,222,227],"slowly":[20],"varying":[21],"interior":[22],"surfaces.":[23],"Leveraging":[24],"on":[25,116,250],"recent":[26],"advances":[27],"in":[28,32,203,215,252],"graph":[29,44,117,126,202],"processing,":[31],"this":[33],"paper,":[34],"we":[35,83,96,134,146],"propose":[36],"to":[37,48,87,106,138,156],"compress":[38],"the":[39,50,61,64,69,79,144,170,207,233,257],"PWS":[40,234],"using":[42,182],"suitable":[43],"Fourier":[45],"transforms":[46],"(GFTs)":[47],"minimize":[49,107],"total":[51,108],"representation":[53,109],"cost":[54,110],"of":[55,63,71,91,104,132,197,232],"each":[56],"pixel":[57,92,154],"block,":[58],"considering":[59],"both":[60],"sparsity":[62],"signal's":[65],"transform":[66,72],"coefficients":[67],"compactness":[70],"description.":[73],"Unlike":[74],"fixed":[75],"transforms,":[76],"discrete":[80],"cosine":[81],"transform,":[82],"can":[84,166,191],"adapt":[85],"GFT":[86,199],"a":[88,100,151,158,164,201,216],"particular":[89],"class":[90],"blocks.":[93],"In":[94],"particular,":[95],"select":[97],"one":[98],"among":[99],"defined":[101],"search":[102],"space":[103],"GFTs":[105],"via":[111,205],"our":[112,240],"proposed":[113,241],"algorithms,":[114],"leveraging":[115],"optimization":[118],"techniques,":[119],"spectral":[122],"clustering":[123],"minimum":[125],"cuts.":[127],"Furthermore,":[128],"for":[129,218],"practical":[130],"implementation":[131],"GFT,":[133],"introduce":[135],"two":[136],"techniques":[137],"reduce":[139],"computation":[140],"complexity.":[141],"First,":[142],"at":[143,256],"encoder,":[145],"low-pass":[147],"filter":[148],"downsample":[150],"high-resolution":[152],"(HR)":[153],"block":[155],"obtain":[157],"low-resolution":[159],"(LR)":[160],"one,":[161],"so":[162,186],"that":[163,187,239],"LR-GFT":[165],"be":[167,192],"employed.":[168],"At":[169],"decoder,":[171],"upsampling":[172],"interpolation":[174],"are":[175,211],"performed":[176],"adaptively":[177],"along":[178],"HR":[179],"coded":[181],"arithmetic":[183],"edge":[184],"coding,":[185],"well":[193],"preserved.":[194],"Second,":[195],"instead":[196],"computing":[198],"from":[200],"real-time":[204],"eigen-decomposition,":[206],"most":[208],"popular":[209],"LR-GFTs":[210],"pre-computed":[212],"stored":[214],"table":[217],"lookup":[219],"during":[220],"encoding":[221],"decoding.":[223],"Using":[224],"computer-graphics":[228],"examples":[231],"images,":[235],"experimental":[236],"results":[237],"show":[238],"multiresolution-GFT":[242],"scheme":[243],"outperforms":[244],"H.264":[245],"intra":[246],"by":[247],"6.8":[248],"dB":[249],"average":[251],"peak":[253],"signal-to-noise":[254],"ratio":[255],"same":[258],"bit":[259],"rate.":[260]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":13},{"year":2022,"cited_by_count":14},{"year":2021,"cited_by_count":20},{"year":2020,"cited_by_count":22},{"year":2019,"cited_by_count":28},{"year":2018,"cited_by_count":31},{"year":2017,"cited_by_count":16},{"year":2016,"cited_by_count":27},{"year":2015,"cited_by_count":14}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
