{"id":"https://openalex.org/W1580317154","doi":"https://doi.org/10.1109/icip.2004.1418801","title":"A comparison of non-orthogonal and orthogonal fractal decoding","display_name":"A comparison of non-orthogonal and orthogonal fractal decoding","publication_year":2005,"publication_date":"2005-04-19","ids":{"openalex":"https://openalex.org/W1580317154","doi":"https://doi.org/10.1109/icip.2004.1418801","mag":"1580317154"},"language":"en","primary_location":{"id":"doi:10.1109/icip.2004.1418801","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2004.1418801","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 International Conference on Image Processing, 2004. ICIP '04.","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/A5103121444","display_name":"Ming Hong Pi","orcid":null},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Ming Hong Pi","raw_affiliation_strings":["Department of Computing Science, University of Alberta, Edmonton, AB, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Computing Science, University of Alberta, Edmonton, AB, Canada","institution_ids":["https://openalex.org/I154425047"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054810403","display_name":"Anup Basu","orcid":"https://orcid.org/0000-0002-7695-4148"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"A. Basu","raw_affiliation_strings":["Department of Computing Science, University of Alberta, Edmonton, AB, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Computing Science, University of Alberta, Edmonton, AB, Canada","institution_ids":["https://openalex.org/I154425047"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101417879","display_name":"Mrinal Mandal","orcid":"https://orcid.org/0000-0002-0680-5876"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"M. Mandal","raw_affiliation_strings":["Department of Computing Science, Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Computing Science, Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada","institution_ids":["https://openalex.org/I154425047"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078094074","display_name":"Hua Li","orcid":"https://orcid.org/0000-0003-0740-0691"},"institutions":[{"id":"https://openalex.org/I107949126","display_name":"University of Lethbridge","ror":"https://ror.org/044j76961","country_code":"CA","type":"education","lineage":["https://openalex.org/I107949126"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Hua Li","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge, AB, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge, AB, Canada","institution_ids":["https://openalex.org/I107949126"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5103121444"],"corresponding_institution_ids":["https://openalex.org/I154425047"],"apc_list":null,"apc_paid":null,"fwci":0.5875,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.67738971,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":null,"first_page":"505","last_page":"508"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10901","display_name":"Advanced Data Compression Techniques","score":0.9957000017166138,"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":0.9957000017166138,"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":0.9951000213623047,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9904999732971191,"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/decoding-methods","display_name":"Decoding methods","score":0.7255836725234985},{"id":"https://openalex.org/keywords/orthogonalization","display_name":"Orthogonalization","score":0.721338152885437},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.7047978639602661},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.6753831505775452},{"id":"https://openalex.org/keywords/offset","display_name":"Offset (computer science)","score":0.6241440773010254},{"id":"https://openalex.org/keywords/luminance","display_name":"Luminance","score":0.6031310558319092},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5836001634597778},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.47969743609428406},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.42211049795150757},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3785071074962616},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2633358836174011},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17289671301841736},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12762188911437988}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.7255836725234985},{"id":"https://openalex.org/C47559304","wikidata":"https://www.wikidata.org/wiki/Q1702189","display_name":"Orthogonalization","level":2,"score":0.721338152885437},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.7047978639602661},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.6753831505775452},{"id":"https://openalex.org/C175291020","wikidata":"https://www.wikidata.org/wiki/Q1156822","display_name":"Offset (computer science)","level":2,"score":0.6241440773010254},{"id":"https://openalex.org/C73313986","wikidata":"https://www.wikidata.org/wiki/Q355386","display_name":"Luminance","level":2,"score":0.6031310558319092},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5836001634597778},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.47969743609428406},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.42211049795150757},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3785071074962616},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2633358836174011},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17289671301841736},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12762188911437988},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icip.2004.1418801","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2004.1418801","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 International Conference on Image Processing, 2004. ICIP '04.","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":17,"referenced_works":["https://openalex.org/W55275507","https://openalex.org/W1490366898","https://openalex.org/W1513576273","https://openalex.org/W1975153298","https://openalex.org/W2022095411","https://openalex.org/W2063079062","https://openalex.org/W2101518732","https://openalex.org/W2144504213","https://openalex.org/W2149961130","https://openalex.org/W2158759047","https://openalex.org/W2162590827","https://openalex.org/W2167005225","https://openalex.org/W4211230164","https://openalex.org/W6630774086","https://openalex.org/W6675581611","https://openalex.org/W6683535158","https://openalex.org/W6684421269"],"related_works":["https://openalex.org/W1965163197","https://openalex.org/W2005349189","https://openalex.org/W129617223","https://openalex.org/W2526976988","https://openalex.org/W3122962126","https://openalex.org/W2386892378","https://openalex.org/W4301514602","https://openalex.org/W2949490341","https://openalex.org/W1541233540","https://openalex.org/W2362628444"],"abstract_inverted_index":{"The":[0],"model":[1,22],"coefficients":[2,23],"for":[3],"the":[4,7,21,37,63,70,74,79,84,88,92,96,99],"case":[5],"of":[6,98],"non-orthogonal":[8,71],"basis":[9],"in":[10],"Jacquin's":[11],"mappings":[12],"are":[13,55],"contrast":[14,29],"scaling":[15],"and":[16,28,91],"luminance":[17,43],"offset.":[18],"After":[19],"orthogonalization,":[20],"become":[24],"range":[25,48,100],"block":[26,49],"mean":[27],"scaling.":[30],"These":[31],"two":[32,75],"fractal":[33],"coding":[34],"algorithms":[35,54,77],"have":[36],"same":[38,80],"encoding":[39],"procedure":[40],"except":[41],"that":[42,62],"offset":[44],"is":[45,87],"replaced":[46],"by":[47],"mean,":[50],"however,":[51],"their":[52],"decoding":[53,65,76],"different.":[56],"In":[57],"this":[58],"paper,":[59],"we":[60],"prove":[61],"orthogonal":[64],"algorithm":[66],"converges":[67],"faster":[68],"than":[69],"algorithm,":[72],"while":[73],"produce":[78],"iteration":[81],"series":[82],"if":[83],"initial":[85],"image":[86,90],"range-averaged":[89],"step":[93],"size":[94],"equals":[95],"side-length":[97],"block.":[101]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}