{"id":"https://openalex.org/W2892241788","doi":"https://doi.org/10.1109/icip.2018.8451434","title":"Symmetry-Based Graph Fourier Transforms for Image Representation","display_name":"Symmetry-Based Graph Fourier Transforms for Image Representation","publication_year":2018,"publication_date":"2018-09-07","ids":{"openalex":"https://openalex.org/W2892241788","doi":"https://doi.org/10.1109/icip.2018.8451434","mag":"2892241788"},"language":"en","primary_location":{"id":"doi:10.1109/icip.2018.8451434","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2018.8451434","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 25th IEEE International Conference on Image Processing (ICIP)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11379/514299","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031099129","display_name":"Alessandro Gnutti","orcid":"https://orcid.org/0000-0002-8308-0776"},"institutions":[{"id":"https://openalex.org/I79940851","display_name":"University of Brescia","ror":"https://ror.org/02q2d2610","country_code":"IT","type":"education","lineage":["https://openalex.org/I79940851"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alessandro Gnutti","raw_affiliation_strings":["Department of Information Engineering, CNIT-University of Brescia, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, CNIT-University of Brescia, Italy","institution_ids":["https://openalex.org/I79940851"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080809403","display_name":"Fabrizio Guerrini","orcid":"https://orcid.org/0000-0001-5634-6615"},"institutions":[{"id":"https://openalex.org/I79940851","display_name":"University of Brescia","ror":"https://ror.org/02q2d2610","country_code":"IT","type":"education","lineage":["https://openalex.org/I79940851"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Fabrizio Guerrini","raw_affiliation_strings":["Department of Information Engineering, CNIT-University of Brescia, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, CNIT-University of Brescia, Italy","institution_ids":["https://openalex.org/I79940851"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077643154","display_name":"Riccardo Leonardi","orcid":"https://orcid.org/0000-0003-0755-1924"},"institutions":[{"id":"https://openalex.org/I79940851","display_name":"University of Brescia","ror":"https://ror.org/02q2d2610","country_code":"IT","type":"education","lineage":["https://openalex.org/I79940851"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Riccardo Leonardi","raw_affiliation_strings":["Department of Information Engineering, CNIT-University of Brescia, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, CNIT-University of Brescia, Italy","institution_ids":["https://openalex.org/I79940851"]}]},{"author_position":"last","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, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Southern California, Los Angeles, USA","institution_ids":["https://openalex.org/I1174212"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1521,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.51087639,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"2575","last_page":"2579"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10901","display_name":"Advanced Data Compression Techniques","score":0.9987999796867371,"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/T10901","display_name":"Advanced Data Compression Techniques","score":0.9987999796867371,"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":0.9933000206947327,"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/T11165","display_name":"Image and Video Quality Assessment","score":0.9882000088691711,"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/discrete-cosine-transform","display_name":"Discrete cosine transform","score":0.7716479301452637},{"id":"https://openalex.org/keywords/transform-coding","display_name":"Transform coding","score":0.608268678188324},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5452178716659546},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5282109379768372},{"id":"https://openalex.org/keywords/discrete-sine-transform","display_name":"Discrete sine transform","score":0.5275998711585999},{"id":"https://openalex.org/keywords/karhunen\u2013lo\u00e8ve-theorem","display_name":"Karhunen\u2013Lo\u00e8ve theorem","score":0.4676283001899719},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.467292845249176},{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.442089319229126},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36097949743270874},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33469390869140625},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.2871355414390564},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.27520182728767395},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.18485039472579956},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.16053780913352966},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15174376964569092}],"concepts":[{"id":"https://openalex.org/C2221639","wikidata":"https://www.wikidata.org/wiki/Q2877","display_name":"Discrete cosine transform","level":3,"score":0.7716479301452637},{"id":"https://openalex.org/C169805256","wikidata":"https://www.wikidata.org/wiki/Q1361381","display_name":"Transform coding","level":4,"score":0.608268678188324},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5452178716659546},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5282109379768372},{"id":"https://openalex.org/C167058841","wikidata":"https://www.wikidata.org/wiki/Q971039","display_name":"Discrete sine transform","level":5,"score":0.5275998711585999},{"id":"https://openalex.org/C109308471","wikidata":"https://www.wikidata.org/wiki/Q2046647","display_name":"Karhunen\u2013Lo\u00e8ve theorem","level":2,"score":0.4676283001899719},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.467292845249176},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.442089319229126},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36097949743270874},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33469390869140625},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.2871355414390564},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.27520182728767395},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.18485039472579956},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.16053780913352966},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15174376964569092}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icip.2018.8451434","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2018.8451434","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 25th IEEE International Conference on Image Processing (ICIP)","raw_type":"proceedings-article"},{"id":"pmh:oai:iris.unibs.it:11379/514299","is_oa":true,"landing_page_url":"http://hdl.handle.net/11379/514299","pdf_url":null,"source":{"id":"https://openalex.org/S4306400804","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Brescia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:iris.unibs.it:11379/514299","is_oa":true,"landing_page_url":"http://hdl.handle.net/11379/514299","pdf_url":null,"source":{"id":"https://openalex.org/S4306400804","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Brescia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8999999761581421}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1566428659","https://openalex.org/W1980811840","https://openalex.org/W2031614119","https://openalex.org/W2101491865","https://openalex.org/W2135693868","https://openalex.org/W2166816543","https://openalex.org/W2216287525","https://openalex.org/W2294414102","https://openalex.org/W2611619642","https://openalex.org/W2615556757","https://openalex.org/W2625369936","https://openalex.org/W2710276588","https://openalex.org/W4246047487","https://openalex.org/W4249707496"],"related_works":["https://openalex.org/W2150576912","https://openalex.org/W4229011731","https://openalex.org/W2112053570","https://openalex.org/W2953035947","https://openalex.org/W2024146866","https://openalex.org/W2162505377","https://openalex.org/W2145506072","https://openalex.org/W3013474837","https://openalex.org/W4309177872","https://openalex.org/W2963134360"],"abstract_inverted_index":{"It":[0],"is":[1,16,47,145],"well-known":[2],"that":[3,21,86,123,142],"the":[4,7,19,32,44,49,59,100,113,116,125,132],"application":[5],"of":[6,27,36,68,89,104,115,118],"Discrete":[8],"Cosine":[9],"Transform":[10,34],"(DCT)":[11],"in":[12,102,136],"transform":[13],"coding":[14,143],"schemes":[15],"justified":[17],"by":[18],"fact":[20],"it":[22],"belongs":[23],"to":[24,31,111],"a":[25,37,54,66,78],"family":[26,88],"transforms":[28,90,119],"asymptotically":[29],"equivalent":[30],"Karhunen-Loeve":[33],"(KLT)":[35],"first":[38],"order":[39],"Markov":[40],"process.":[41],"However,":[42],"when":[43],"pixel-to-pixel":[45],"correlation":[46],"low":[48],"DCT":[50,101],"does":[51],"not":[52],"provide":[53],"compression":[55],"performance":[56],"comparable":[57],"with":[58],"KLT.":[60],"In":[61],"this":[62,87],"paper,":[63],"we":[64],"propose":[65],"set":[67,117],"symmetry-based":[69,129],"Graph":[70],"Fourier":[71],"Transforms":[72],"(GFT)":[73],"whose":[74],"associated":[75],"graphs":[76],"present":[77],"totally":[79],"or":[80],"partially":[81],"symmetric":[82],"grid.":[83],"We":[84,107],"show":[85],"well":[91],"represents":[92],"both":[93],"natural":[94],"images":[95],"and":[96,131],"residual":[97],"signals":[98],"outperforming":[99],"terms":[103],"energy":[105],"compaction.":[106],"also":[108],"investigate":[109],"how":[110],"reduce":[112],"cardinality":[114],"through":[120],"an":[121],"analysis":[122],"studies":[124],"relation":[126],"between":[127],"efficient":[128],"GFTs":[130],"directional":[133],"modes":[134],"used":[135],"H.265":[137],"standard.":[138],"Experimental":[139],"results":[140],"indicate":[141],"efficiency":[144],"high.":[146]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
