{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,11]],"date-time":"2025-09-11T07:12:47Z","timestamp":1757574767139},"reference-count":33,"publisher":"World Scientific Pub Co Pte Lt","issue":"10","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Patt. Recogn. Artif. Intell."],"published-print":{"date-parts":[[2020,9]]},"abstract":"<jats:p> In the image recognition field, there are several techniques that allow identifying patterns in digital images, correlation being one of them. In a correlation, you have to obtain an output plane that is as clean as possible. To measure the sharpness of the correlation peak and the cleanliness of the output plane, a performance metric called Peak to Correlation Energy (PCE) is used. <\/jats:p><jats:p> In this paper, the fractional correlation is applied to recognize real phytoplankton images. This fractional correlation guarantees a higher PCE compared to the conventional correlation. The results of PCE are two-orders of magnitude higher than those obtained with the conventional correlation and manage to identify 91.23% of the images, while the conventional correlation only manages to identify 87.42% of them. <\/jats:p><jats:p> This methodology was tested using images in salt and pepper or Gaussian noise, and the fractional correlation output plane always is cleaner and generates a better-defined correlation peak when compared with the classical correlation. <\/jats:p>","DOI":"10.1142\/s0218001420540257","type":"journal-article","created":{"date-parts":[[2019,11,13]],"date-time":"2019-11-13T08:01:34Z","timestamp":1573632094000},"page":"2054025","source":"Crossref","is-referenced-by-count":4,"title":["Fractional Fourier Transform for Digital Image Recognition"],"prefix":"10.1142","volume":"34","author":[{"given":"Luis Felipe","family":"L\u00f3pez-\u00c1vila","sequence":"first","affiliation":[{"name":"Applied Physics Division, Optics Department, CICESE, Ensenada, M\u00e9xico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Josu\u00e9","family":"\u00c1lvarez-Borrego","sequence":"additional","affiliation":[{"name":"Applied Physics Division, Optics Department, CICESE, Ensenada, M\u00e9xico"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2020,1,9]]},"reference":[{"key":"S0218001420540257BIB001","doi-asserted-by":"publisher","DOI":"10.1109\/78.330368"},{"key":"S0218001420540257BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/j.optcom.2012.12.010"},{"key":"S0218001420540257BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.optcom.2016.01.059"},{"key":"S0218001420540257BIB004","doi-asserted-by":"publisher","DOI":"10.1364\/AO.35.000297"},{"key":"S0218001420540257BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/BF02321405"},{"key":"S0218001420540257BIB006","doi-asserted-by":"publisher","DOI":"10.1007\/BF02325092"},{"key":"S0218001420540257BIB007","doi-asserted-by":"publisher","DOI":"10.1364\/AO.28.000010"},{"key":"S0218001420540257BIB008","doi-asserted-by":"publisher","DOI":"10.1364\/JOSAA.13.000474"},{"key":"S0218001420540257BIB009","doi-asserted-by":"publisher","DOI":"10.4067\/S0717-65382013000200005"},{"key":"S0218001420540257BIB010","doi-asserted-by":"publisher","DOI":"10.1016\/j.optlaseng.2014.05.013"},{"key":"S0218001420540257BIB011","doi-asserted-by":"publisher","DOI":"10.1364\/AO.18.000172"},{"key":"S0218001420540257BIB012","doi-asserted-by":"publisher","DOI":"10.1364\/BOE.6.003876"},{"key":"S0218001420540257BIB013","doi-asserted-by":"publisher","DOI":"10.1201\/9780203910962"},{"key":"S0218001420540257BIB014","doi-asserted-by":"publisher","DOI":"10.1016\/j.cageo.2017.08.011"},{"key":"S0218001420540257BIB015","first-page":"3713","volume-title":"IEEE Int. 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