{"id":"https://openalex.org/W2137267730","doi":"https://doi.org/10.1109/icdsp.2009.5201245","title":"An efficient method for the exact computation of Legendre moments of binary images","display_name":"An efficient method for the exact computation of Legendre moments of binary images","publication_year":2009,"publication_date":"2009-07-01","ids":{"openalex":"https://openalex.org/W2137267730","doi":"https://doi.org/10.1109/icdsp.2009.5201245","mag":"2137267730"},"language":"en","primary_location":{"id":"doi:10.1109/icdsp.2009.5201245","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icdsp.2009.5201245","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 16th International Conference on Digital Signal Processing","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/A5113750058","display_name":"Zhifang Dong","orcid":null},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhifang Dong","raw_affiliation_strings":["Laboratory of Image Science and Technology, South-East University, Nanjing, China","Lab. of Image Science and Technology, Southeast University, 210096 Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Laboratory of Image Science and Technology, South-East University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"Lab. of Image Science and Technology, Southeast University, 210096 Nanjing, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100323490","display_name":"Hui Zhang","orcid":"https://orcid.org/0000-0002-7730-8922"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hui Zhang","raw_affiliation_strings":["Laboratory of Image Science and Technology, South-East University, Nanjing, China","Lab. of Image Science and Technology, Southeast University, 210096 Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Laboratory of Image Science and Technology, South-East University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"Lab. of Image Science and Technology, Southeast University, 210096 Nanjing, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100687822","display_name":"Huazhong Shu","orcid":"https://orcid.org/0000-0002-3833-7915"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huazhong Shu","raw_affiliation_strings":["Laboratory of Image Science and Technology, South-East University, Nanjing, China","Lab. of Image Science and Technology, Southeast University, 210096 Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Laboratory of Image Science and Technology, South-East University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"Lab. of Image Science and Technology, Southeast University, 210096 Nanjing, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5113750058"],"corresponding_institution_ids":["https://openalex.org/I76569877"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.17337772,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"34","issue":null,"first_page":"1","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9959999918937683,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.8715355396270752},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.772146999835968},{"id":"https://openalex.org/keywords/method-of-moments","display_name":"Method of moments (probability theory)","score":0.6225971579551697},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.6124715209007263},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.542912483215332},{"id":"https://openalex.org/keywords/velocity-moments","display_name":"Velocity Moments","score":0.5417507290840149},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5193913578987122},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5074881911277771},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.46950268745422363},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.4380744397640228},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.4153084456920624},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40706706047058105},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4040738046169281},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3036848306655884},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.06513991951942444},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06398078799247742}],"concepts":[{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.8715355396270752},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.772146999835968},{"id":"https://openalex.org/C2780033567","wikidata":"https://www.wikidata.org/wiki/Q6823720","display_name":"Method of moments (probability theory)","level":3,"score":0.6225971579551697},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.6124715209007263},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.542912483215332},{"id":"https://openalex.org/C149539972","wikidata":"https://www.wikidata.org/wiki/Q7919290","display_name":"Velocity Moments","level":4,"score":0.5417507290840149},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5193913578987122},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5074881911277771},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.46950268745422363},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.4380744397640228},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.4153084456920624},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40706706047058105},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4040738046169281},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3036848306655884},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.06513991951942444},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06398078799247742},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","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/C92423082","wikidata":"https://www.wikidata.org/wiki/Q132146","display_name":"Zernike polynomials","level":3,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","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/icdsp.2009.5201245","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icdsp.2009.5201245","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 16th International Conference on Digital Signal Processing","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":13,"referenced_works":["https://openalex.org/W1967539613","https://openalex.org/W1983272054","https://openalex.org/W1992755447","https://openalex.org/W2003260632","https://openalex.org/W2019724552","https://openalex.org/W2024185438","https://openalex.org/W2035603975","https://openalex.org/W2040708001","https://openalex.org/W2042474941","https://openalex.org/W2129460581","https://openalex.org/W2136834176","https://openalex.org/W2159498975","https://openalex.org/W2163644233"],"related_works":["https://openalex.org/W4238987701","https://openalex.org/W4230874876","https://openalex.org/W1965081020","https://openalex.org/W2138928132","https://openalex.org/W2129460581","https://openalex.org/W2898601552","https://openalex.org/W2040708001","https://openalex.org/W2128204967","https://openalex.org/W2389442306","https://openalex.org/W2736737644"],"abstract_inverted_index":{"Legendre":[0,23],"moments":[1,24],"have":[2],"been":[3],"widely":[4],"used":[5],"as":[6],"feature":[7],"descriptors":[8],"in":[9,86],"image":[10],"analysis.":[11],"This":[12],"paper":[13],"presents":[14],"a":[15,29,39,49],"new":[16],"approach":[17],"for":[18,57],"the":[19,32,43,59,69,79],"exact":[20],"computation":[21],"of":[22,25,78],"binary":[26],"images.":[27],"Using":[28],"Green's":[30],"formula,":[31],"double":[33],"integral":[34],"is":[35,46,72,76,84],"first":[36],"transformed":[37],"into":[38],"simple":[40],"integration":[41],"along":[42],"boundary":[44],"which":[45],"represented":[47],"by":[48],"polygon.":[50],"We":[51],"then":[52],"propose":[53],"an":[54],"efficient":[55],"method":[56],"computing":[58],"line":[60],"moments.":[61],"Comparison":[62],"with":[63],"some":[64],"known":[65],"algorithms":[66],"shows":[67],"that":[68,82],"proposed":[70],"algorithm":[71],"more":[73],"accurate,":[74],"and":[75],"independent":[77],"slope,":[80],"so":[81],"it":[83],"stable":[85],"numerical":[87],"computation.":[88]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}