{"id":"https://openalex.org/W2971351569","doi":"https://doi.org/10.1109/icip.2019.8802940","title":"Polar Coordinate Convolutional Neural Network: From Rotation-Invariance to Translation-Invariance","display_name":"Polar Coordinate Convolutional Neural Network: From Rotation-Invariance to Translation-Invariance","publication_year":2019,"publication_date":"2019-08-26","ids":{"openalex":"https://openalex.org/W2971351569","doi":"https://doi.org/10.1109/icip.2019.8802940","mag":"2971351569"},"language":"en","primary_location":{"id":"doi:10.1109/icip.2019.8802940","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2019.8802940","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Conference on Image Processing (ICIP)","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/A5001381456","display_name":"Ruoqiao Jiang","orcid":"https://orcid.org/0000-0002-7152-5301"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ruoqiao Jiang","raw_affiliation_strings":["Northwestern Polytechnical University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"Northwestern Polytechnical University, Xi'an, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067207818","display_name":"Shaohui Mei","orcid":"https://orcid.org/0000-0002-8018-596X"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shaohui Mei","raw_affiliation_strings":["Northwestern Polytechnical University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"Northwestern Polytechnical University, Xi'an, China","institution_ids":["https://openalex.org/I17145004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5001381456"],"corresponding_institution_ids":["https://openalex.org/I17145004"],"apc_list":null,"apc_paid":null,"fwci":0.8098,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.77276212,"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":"355","last_page":"359"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9959999918937683,"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/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9959999918937683,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9952999949455261,"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/T10601","display_name":"Handwritten Text Recognition Techniques","score":0.9926000237464905,"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/invariant","display_name":"Invariant (physics)","score":0.7429856061935425},{"id":"https://openalex.org/keywords/convolutional-neural-network","display_name":"Convolutional neural network","score":0.6974582076072693},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.6535763740539551},{"id":"https://openalex.org/keywords/polar-coordinate-system","display_name":"Polar coordinate system","score":0.6161130666732788},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5754137635231018},{"id":"https://openalex.org/keywords/translation","display_name":"Translation (biology)","score":0.5209521055221558},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.5113701224327087},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4965205788612366},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46894192695617676},{"id":"https://openalex.org/keywords/rotational-invariance","display_name":"Rotational invariance","score":0.4282822012901306},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3599947690963745},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.203080952167511}],"concepts":[{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.7429856061935425},{"id":"https://openalex.org/C81363708","wikidata":"https://www.wikidata.org/wiki/Q17084460","display_name":"Convolutional neural network","level":2,"score":0.6974582076072693},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.6535763740539551},{"id":"https://openalex.org/C40069579","wikidata":"https://www.wikidata.org/wiki/Q62494","display_name":"Polar coordinate system","level":2,"score":0.6161130666732788},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5754137635231018},{"id":"https://openalex.org/C149364088","wikidata":"https://www.wikidata.org/wiki/Q185917","display_name":"Translation (biology)","level":4,"score":0.5209521055221558},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.5113701224327087},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4965205788612366},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46894192695617676},{"id":"https://openalex.org/C33098168","wikidata":"https://www.wikidata.org/wiki/Q108537107","display_name":"Rotational invariance","level":2,"score":0.4282822012901306},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3599947690963745},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.203080952167511},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C105580179","wikidata":"https://www.wikidata.org/wiki/Q188928","display_name":"Messenger RNA","level":3,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icip.2019.8802940","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2019.8802940","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Conference on Image Processing (ICIP)","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":12,"referenced_works":["https://openalex.org/W2005368619","https://openalex.org/W2013081398","https://openalex.org/W2024986448","https://openalex.org/W2044738244","https://openalex.org/W2161969291","https://openalex.org/W2163605009","https://openalex.org/W2340427832","https://openalex.org/W2512351403","https://openalex.org/W2520774990","https://openalex.org/W2783072931","https://openalex.org/W6684191040","https://openalex.org/W6726946684"],"related_works":["https://openalex.org/W1655720158","https://openalex.org/W2369361542","https://openalex.org/W647759170","https://openalex.org/W2366854666","https://openalex.org/W2492925340","https://openalex.org/W2595523213","https://openalex.org/W2006176066","https://openalex.org/W1499828956","https://openalex.org/W103088352","https://openalex.org/W2900275675"],"abstract_inverted_index":{"Convolutional":[0],"neural":[1],"network":[2],"(CNN)":[3],"has":[4],"been":[5],"famous":[6],"for":[7,30,51],"its":[8],"translation-invariant":[9],"ability":[10],"in":[11,77],"feature":[12,53,78],"learning.":[13,54],"In":[14,40],"order":[15],"to":[16,61,107],"further":[17],"encounter":[18,108],"rotation-invariant,":[19],"data":[20,96],"augmentation":[21],"by":[22,67,84],"rotation":[23],"of":[24],"training":[25,56],"samples":[26,57],"should":[27],"be":[28,81],"considered":[29],"multiple-branch":[31,89],"based":[32],"structure":[33],"using":[34],"maximum":[35],"operator":[36],"or":[37],"average":[38],"operator.":[39],"this":[41],"paper,":[42],"a":[43,62],"novel":[44],"Polar":[45],"Coordinate":[46],"CNN":[47],"(PC-CNN)":[48],"is":[49,70,104],"proposed":[50,101],"rotation-invariant":[52,109,117],"Specifically,":[55],"are":[58],"first":[59],"input":[60],"polar":[63,102],"coordinate":[64],"transform":[65],"layer":[66],"which":[68],"rotation-invariance":[69,75],"converted":[71],"into":[72,110],"translation-invariance.":[73],"Consequently,":[74],"problem":[76],"learning":[79],"can":[80],"easily":[82],"encountered":[83],"traditional":[85,111],"CNNs":[86,112],"without":[87],"the":[88,100],"structure.":[90],"Experimental":[91],"results":[92],"over":[93],"two":[94],"benchmark":[95],"sets":[97],"demonstrate":[98],"that":[99],"transformation":[103],"very":[105],"effective":[106],"and":[113],"outperforms":[114],"several":[115],"state-of-the-art":[116],"CNNs.":[118]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}