{"id":"https://openalex.org/W2156640718","doi":"https://doi.org/10.1109/icip.2005.1530452","title":"A group theoretical toolbox for color image operators","display_name":"A group theoretical toolbox for color image operators","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2156640718","doi":"https://doi.org/10.1109/icip.2005.1530452","mag":"2156640718"},"language":"en","primary_location":{"id":"doi:10.1109/icip.2005.1530452","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2005.1530452","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE International Conference on Image Processing 2005","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/A5005222066","display_name":"Reiner Lenz","orcid":"https://orcid.org/0000-0001-7557-4904"},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"R. Lenz","raw_affiliation_strings":["Department Science and Technology, Link\u00f6ping University, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department Science and Technology, Link\u00f6ping University, Sweden","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Thanh Hai Bui","orcid":null},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Thanh Hai Bui","raw_affiliation_strings":["Department Science and Technology, Link\u00f6ping University, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department Science and Technology, Link\u00f6ping University, Sweden","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112026526","display_name":"Koichi Takase","orcid":null},"institutions":[{"id":"https://openalex.org/I159385669","display_name":"Chiba University","ror":"https://ror.org/01hjzeq58","country_code":"JP","type":"education","lineage":["https://openalex.org/I159385669"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"K. Takase","raw_affiliation_strings":["Graduate School of Science and Technology, Chiba University, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Science and Technology, Chiba University, Japan","institution_ids":["https://openalex.org/I159385669"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.21076481,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"III","last_page":"557"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9743000268936157,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9743000268936157,"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/T13114","display_name":"Image Processing Techniques and Applications","score":0.955299973487854,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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/T12702","display_name":"Brain Tumor Detection and Classification","score":0.949400007724762,"subfield":{"id":"https://openalex.org/subfields/2808","display_name":"Neurology"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/toolbox","display_name":"Toolbox","score":0.8829721212387085},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6367255449295044},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5977534651756287},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.5287660360336304},{"id":"https://openalex.org/keywords/color-image","display_name":"Color image","score":0.44275742769241333},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3993558883666992},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.395707368850708},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.2694104313850403},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.11602044105529785},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07807725667953491}],"concepts":[{"id":"https://openalex.org/C2777655017","wikidata":"https://www.wikidata.org/wiki/Q1501161","display_name":"Toolbox","level":2,"score":0.8829721212387085},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6367255449295044},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5977534651756287},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.5287660360336304},{"id":"https://openalex.org/C142616399","wikidata":"https://www.wikidata.org/wiki/Q5148604","display_name":"Color image","level":4,"score":0.44275742769241333},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3993558883666992},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.395707368850708},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.2694104313850403},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.11602044105529785},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07807725667953491},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icip.2005.1530452","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2005.1530452","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE International Conference on Image Processing 2005","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1519349094","https://openalex.org/W1596185498","https://openalex.org/W2008551704","https://openalex.org/W2106788917","https://openalex.org/W2124975760","https://openalex.org/W2157325488","https://openalex.org/W4243402039","https://openalex.org/W4297936497"],"related_works":["https://openalex.org/W4205140848","https://openalex.org/W2068663075","https://openalex.org/W2978678743","https://openalex.org/W2797837731","https://openalex.org/W829257147","https://openalex.org/W4390832911","https://openalex.org/W4385302116","https://openalex.org/W3081389670","https://openalex.org/W2150344375","https://openalex.org/W1970242467"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,100,148],"describe":[4,144],"how":[5],"to":[6,21,47,65,130,152,187],"use":[7,149],"the":[8,12,17,43,51,57,62,93,150,207,211,221],"direct":[9],"product":[10],"of":[11,35,50,61,72,157,202,210],"dihedral":[13],"group":[14,19,58,183],"D(4)":[15],"and":[16,74,138,194],"symmetric":[18],"5(3)":[20],"automatically":[22],"derive":[23,188],"low-level":[24],"image":[25,113,140,170,203],"processing":[26,137],"filter":[27,213],"systems":[28,214],"for":[29,124,199,215],"RGB":[30],"images.":[31,158,181],"For":[32],"important":[33],"classes":[34],"stochastic":[36],"processes":[37],"it":[38],"can":[39,77,195],"be":[40,79,131,197],"shown":[41],"that":[42,56],"resulting":[44],"operators":[45,63,122,151],"lead":[46],"a":[48,66,88,111,175],"block-diagonalization":[49,94],"correlation":[52],"matrix.":[53],"We":[54,90,143],"show":[55],"theoretical":[59,184],"derivation":[60],"leads":[64],"very":[67,116,192],"fast":[68,82],"implementation":[69],"consisting":[70],"mainly":[71],"additions":[73],"subtractions.":[75],"They":[76],"therefore":[78],"implemented":[80],"in":[81,96,110,164,168],"graphics":[83],"computation":[84],"hardware":[85],"such":[86,231],"as":[87,232],"GPU.":[89],"then":[91],"illustrate":[92],"property":[95],"an":[97,169],"experiment":[98],"where":[99,126,147],"used":[101,163,186],"20,000":[102],"subimage":[103],"patches":[104],"collected":[105],"from":[106],"10,000":[107],"random":[108],"images":[109,128,217,226],"large":[112],"database.":[114],"The":[115,182],"short":[117],"execution":[118],"times":[119],"make":[120],"these":[121,189],"suitable":[123],"applications":[125],"many":[127],"have":[129],"processed.":[132],"Typical":[133],"examples":[134],"are":[135,161,191,206],"video":[136],"content-based":[139],"database":[141,171,176],"search.":[142],"one":[145,165],"example":[146],"compute":[153],"content":[154],"based":[155],"descriptors":[156,160],"These":[159],"currently":[162],"search":[166],"mode":[167],"browser":[172],"operating":[173],"on":[174],"with":[177,218,227],"more":[178,219],"than":[179,220],"750,000":[180],"tools":[185],"filters":[190],"general":[193],"directly":[196],"applied":[198],"other":[200,228],"types":[201],"data.":[204],"Examples":[205],"following":[208],"generalizations":[209],"methodology:":[212],"multiband":[216],"ordinary":[222],"three":[223],"RGB-channels":[224],"or":[225],"grid":[229],"geometries":[230],"hexagonal":[233],"sampling.":[234]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
