{"id":"https://openalex.org/W2792554039","doi":"https://doi.org/10.1109/cisp-bmei.2017.8301955","title":"Image Representation by U moments","display_name":"Image Representation by U moments","publication_year":2017,"publication_date":"2017-10-01","ids":{"openalex":"https://openalex.org/W2792554039","doi":"https://doi.org/10.1109/cisp-bmei.2017.8301955","mag":"2792554039"},"language":"en","primary_location":{"id":"doi:10.1109/cisp-bmei.2017.8301955","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cisp-bmei.2017.8301955","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 10th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics (CISP-BMEI)","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/A5100453810","display_name":"Xiaoting Wang","orcid":"https://orcid.org/0000-0001-6503-9158"},"institutions":[{"id":"https://openalex.org/I4210134419","display_name":"Neusoft (China)","ror":"https://ror.org/02zc84r97","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210134419"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaoting Wang","raw_affiliation_strings":["State Key Laboratory of Software Architecture (Neusoft Corporation), Shenyang, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Software Architecture (Neusoft Corporation), Shenyang, China","institution_ids":["https://openalex.org/I4210134419"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101534976","display_name":"Guangyu He","orcid":"https://orcid.org/0000-0002-2878-5108"},"institutions":[{"id":"https://openalex.org/I4210134419","display_name":"Neusoft (China)","ror":"https://ror.org/02zc84r97","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210134419"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guangyu He","raw_affiliation_strings":["State Key Laboratory of Software Architecture (Neusoft Corporation), Shenyang, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Software Architecture (Neusoft Corporation), Shenyang, China","institution_ids":["https://openalex.org/I4210134419"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100453810"],"corresponding_institution_ids":["https://openalex.org/I4210134419"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.22383265,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9997000098228455,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9997000098228455,"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/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.9983999729156494,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9894000291824341,"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":0.9269149303436279},{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.7748538255691528},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.7652198672294617},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.6453347206115723},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.6311694383621216},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5877310037612915},{"id":"https://openalex.org/keywords/velocity-moments","display_name":"Velocity Moments","score":0.5522730350494385},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.5509164929389954},{"id":"https://openalex.org/keywords/orthogonal-functions","display_name":"Orthogonal functions","score":0.5466277599334717},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4974704086780548},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.48681947588920593},{"id":"https://openalex.org/keywords/method-of-moments","display_name":"Method of moments (probability theory)","score":0.47661033272743225},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.453675240278244},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4523535370826721},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44882282614707947},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.4425007402896881},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.43564897775650024},{"id":"https://openalex.org/keywords/image-moment","display_name":"Image moment","score":0.41577816009521484},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3207699656486511},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3009238839149475},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.23562893271446228},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17620334029197693},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.07477867603302002}],"concepts":[{"id":"https://openalex.org/C92423082","wikidata":"https://www.wikidata.org/wiki/Q132146","display_name":"Zernike polynomials","level":3,"score":0.9269149303436279},{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.7748538255691528},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7652198672294617},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.6453347206115723},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6311694383621216},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5877310037612915},{"id":"https://openalex.org/C149539972","wikidata":"https://www.wikidata.org/wiki/Q7919290","display_name":"Velocity Moments","level":4,"score":0.5522730350494385},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.5509164929389954},{"id":"https://openalex.org/C135925592","wikidata":"https://www.wikidata.org/wiki/Q2637908","display_name":"Orthogonal functions","level":2,"score":0.5466277599334717},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4974704086780548},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.48681947588920593},{"id":"https://openalex.org/C2780033567","wikidata":"https://www.wikidata.org/wiki/Q6823720","display_name":"Method of moments (probability theory)","level":3,"score":0.47661033272743225},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.453675240278244},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4523535370826721},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44882282614707947},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.4425007402896881},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.43564897775650024},{"id":"https://openalex.org/C108311513","wikidata":"https://www.wikidata.org/wiki/Q841934","display_name":"Image moment","level":4,"score":0.41577816009521484},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3207699656486511},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3009238839149475},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.23562893271446228},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17620334029197693},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.07477867603302002},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C165699331","wikidata":"https://www.wikidata.org/wiki/Q461533","display_name":"Wavefront","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"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/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cisp-bmei.2017.8301955","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cisp-bmei.2017.8301955","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 10th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics (CISP-BMEI)","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":21,"referenced_works":["https://openalex.org/W358380361","https://openalex.org/W1990565677","https://openalex.org/W1992755447","https://openalex.org/W2031558982","https://openalex.org/W2047636112","https://openalex.org/W2070960305","https://openalex.org/W2086936614","https://openalex.org/W2098280924","https://openalex.org/W2099205439","https://openalex.org/W2102238397","https://openalex.org/W2103901176","https://openalex.org/W2104729186","https://openalex.org/W2124041826","https://openalex.org/W2152951176","https://openalex.org/W2159498975","https://openalex.org/W2163644233","https://openalex.org/W2182433705","https://openalex.org/W2385657156","https://openalex.org/W2387697353","https://openalex.org/W4302154743","https://openalex.org/W6686091803"],"related_works":["https://openalex.org/W2122970665","https://openalex.org/W2141381332","https://openalex.org/W2168501771","https://openalex.org/W2086936614","https://openalex.org/W1671010100","https://openalex.org/W2145067269","https://openalex.org/W134722258","https://openalex.org/W4321260167","https://openalex.org/W2092661076","https://openalex.org/W27941270"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"a":[3,23,71,87],"new":[4,24],"set":[5],"of":[6,17],"orthogonal":[7,26,35],"moment":[8],"functions":[9],"-":[10],"U":[11],"moments":[12,36],"(UMs).":[13],"The":[14],"basis":[15],"function":[16,29],"UMs":[18,44,69,85],"is":[19,22,70],"U-system,":[20],"which":[21,56],"complete":[25],"piecewise":[27],"polynomial":[28],"system.":[30],"Compared":[31],"with":[32],"the":[33],"traditional":[34],"such":[37],"as":[38],"Legendre":[39],"moments(LMs)":[40],"and":[41,50,61,77],"Zernike":[42],"moments(ZMs),":[43],"has":[45],"rather":[46],"low":[47],"computational":[48],"complexity":[49],"have":[51,86],"not":[52],"numerical":[53],"approximation":[54],"errors,":[55],"benefit":[57],"from":[58],"its":[59],"low-order":[60],"simple":[62],"mathematical":[63],"expressions.":[64],"These":[65],"properties":[66],"ensure":[67],"that":[68,84],"promising":[72],"method":[73],"in":[74],"image":[75,89],"reconstruction":[76],"real-time":[78],"applications.":[79],"Our":[80],"experimental":[81],"results":[82],"indicate":[83],"better":[88],"representation.":[90]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
