{"id":"https://openalex.org/W2145753653","doi":"https://doi.org/10.1109/fuzz.2001.1007283","title":"Rotation and scaling invariant self-organizing mapping","display_name":"Rotation and scaling invariant self-organizing mapping","publication_year":2002,"publication_date":"2002-11-14","ids":{"openalex":"https://openalex.org/W2145753653","doi":"https://doi.org/10.1109/fuzz.2001.1007283","mag":"2145753653"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz.2001.1007283","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz.2001.1007283","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297)","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/A5036459733","display_name":"Kingkarn Sookhanaphibarn","orcid":"https://orcid.org/0000-0003-3100-3469"},"institutions":[{"id":"https://openalex.org/I158708052","display_name":"Chulalongkorn University","ror":"https://ror.org/028wp3y58","country_code":"TH","type":"education","lineage":["https://openalex.org/I158708052"]}],"countries":["TH"],"is_corresponding":true,"raw_author_name":"K. Sookhanaphibarn","raw_affiliation_strings":["Department of Mathematics,Advanced Virtual and Intelligent Computing Center, Chulalongkorn University, Bangkok, Thailand","[Dept. of Math., Chulalongkorn Univ., Bangkok, Thailand]"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics,Advanced Virtual and Intelligent Computing Center, Chulalongkorn University, Bangkok, Thailand","institution_ids":["https://openalex.org/I158708052"]},{"raw_affiliation_string":"[Dept. of Math., Chulalongkorn Univ., Bangkok, Thailand]","institution_ids":["https://openalex.org/I158708052"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038009786","display_name":"Chidchanok Lursinsap","orcid":null},"institutions":[{"id":"https://openalex.org/I158708052","display_name":"Chulalongkorn University","ror":"https://ror.org/028wp3y58","country_code":"TH","type":"education","lineage":["https://openalex.org/I158708052"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"C. Lursinsap","raw_affiliation_strings":["Department of Mathematics,Advanced Virtual and Intelligent Computing Center, Chulalongkorn University, Bangkok, Thailand","[Dept. of Math., Chulalongkorn Univ., Bangkok, Thailand]"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics,Advanced Virtual and Intelligent Computing Center, Chulalongkorn University, Bangkok, Thailand","institution_ids":["https://openalex.org/I158708052"]},{"raw_affiliation_string":"[Dept. of Math., Chulalongkorn Univ., Bangkok, Thailand]","institution_ids":["https://openalex.org/I158708052"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5036459733"],"corresponding_institution_ids":["https://openalex.org/I158708052"],"apc_list":null,"apc_paid":null,"fwci":0.8338,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.78629433,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":null,"first_page":"203","last_page":"206"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.9735000133514404,"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/T12874","display_name":"Digital Imaging for Blood Diseases","score":0.9603999853134155,"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/zernike-polynomials","display_name":"Zernike polynomials","score":0.7634938955307007},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.6989285945892334},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.6898983716964722},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.6291459798812866},{"id":"https://openalex.org/keywords/pixel","display_name":"Pixel","score":0.6105237603187561},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6079368591308594},{"id":"https://openalex.org/keywords/self-organizing-map","display_name":"Self-organizing map","score":0.6027785539627075},{"id":"https://openalex.org/keywords/competitive-learning","display_name":"Competitive learning","score":0.5642222762107849},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5503296256065369},{"id":"https://openalex.org/keywords/scale-invariance","display_name":"Scale invariance","score":0.5198431611061096},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.5110613107681274},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4973013699054718},{"id":"https://openalex.org/keywords/velocity-moments","display_name":"Velocity Moments","score":0.44089967012405396},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3625730574131012},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2832595109939575},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11147123575210571},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09089288115501404},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.0857209861278534}],"concepts":[{"id":"https://openalex.org/C92423082","wikidata":"https://www.wikidata.org/wiki/Q132146","display_name":"Zernike polynomials","level":3,"score":0.7634938955307007},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6989285945892334},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.6898983716964722},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6291459798812866},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.6105237603187561},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6079368591308594},{"id":"https://openalex.org/C111168008","wikidata":"https://www.wikidata.org/wiki/Q1136838","display_name":"Self-organizing map","level":3,"score":0.6027785539627075},{"id":"https://openalex.org/C120822770","wikidata":"https://www.wikidata.org/wiki/Q5156355","display_name":"Competitive learning","level":3,"score":0.5642222762107849},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5503296256065369},{"id":"https://openalex.org/C135593079","wikidata":"https://www.wikidata.org/wiki/Q1750766","display_name":"Scale invariance","level":2,"score":0.5198431611061096},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.5110613107681274},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4973013699054718},{"id":"https://openalex.org/C149539972","wikidata":"https://www.wikidata.org/wiki/Q7919290","display_name":"Velocity Moments","level":4,"score":0.44089967012405396},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3625730574131012},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2832595109939575},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11147123575210571},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09089288115501404},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0857209861278534},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C165699331","wikidata":"https://www.wikidata.org/wiki/Q461533","display_name":"Wavefront","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz.2001.1007283","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz.2001.1007283","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297)","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/W2038311587","https://openalex.org/W2057625178","https://openalex.org/W2094618681","https://openalex.org/W2101136587","https://openalex.org/W2111103294","https://openalex.org/W2144118997","https://openalex.org/W2146014298","https://openalex.org/W2154155817"],"related_works":["https://openalex.org/W2372021815","https://openalex.org/W2360964508","https://openalex.org/W2122970665","https://openalex.org/W1596812724","https://openalex.org/W2086936614","https://openalex.org/W2168501771","https://openalex.org/W2356513325","https://openalex.org/W2128407262","https://openalex.org/W2360385111","https://openalex.org/W2973503428"],"abstract_inverted_index":{"Invariant":[0],"scaling":[1,105],"and":[2,34,48,106],"rotation":[3,107],"recognition":[4,108],"of":[5,16,45,60,80,128],"an":[6,58,120],"image":[7,18,59,121],"has":[8],"been":[9],"successfully":[10,148],"realized":[11],"by":[12,76],"extracting":[13],"the":[14,17,27,78,92,95,126,134],"features":[15],"based":[19],"on":[20],"various":[21],"techniques":[22],"such":[23,85],"as":[24,86],"moment,":[25,29],"e.g.,":[26],"Zernike":[28],"pulsed":[30],"coupled":[31],"neural":[32,37],"network,":[33],"high":[35],"order":[36],"network.":[38],"These":[39],"approaches":[40],"are":[41,52,113],"costly":[42],"in":[43],"terms":[44],"computational":[46],"time":[47],"network":[49,84],"complexity.":[50],"They":[51],"not":[53],"practical":[54],"when":[55],"applied":[56,101],"with":[57,137,150],"size":[61],"at":[62,133],"least":[63],"256":[64,67],"/spl":[65],"times/":[66],"pixels.":[68],"In":[69],"this":[70,103],"paper,":[71],"we":[72],"reduce":[73],"these":[74],"complexities":[75],"applying":[77],"capability":[79],"a":[81],"self-organizing":[82],"mapping":[83],"Kohonen's":[87],"competitive":[88,96,145],"learning":[89,97,111,146],"to":[90,102,139],"extract":[91],"features.":[93],"However,":[94],"cannot":[98],"be":[99],"directly":[100],"invariant":[104],"problem.":[109],"Some":[110],"modifications":[112],"proposed":[114],"so":[115],"that":[116],"no":[117],"matter":[118],"how":[119],"is":[122,131],"scaled":[123],"or":[124],"rotated":[125],"location":[127],"each":[129],"neuron":[130],"always":[132],"same":[135],"coordinates":[136],"respect":[138],"its":[140],"neighboring":[141],"neurons.":[142],"The":[143],"new":[144],"was":[147],"tested":[149],"gray-scaled":[151],"images.":[152]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
