{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,23]],"date-time":"2026-01-23T11:46:56Z","timestamp":1769168816513,"version":"3.49.0"},"reference-count":20,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100002753","name":"Universidad Nacional de Colombia","doi-asserted-by":"publisher","award":["16084"],"award-info":[{"award-number":["16084"]}],"id":[{"id":"10.13039\/501100002753","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computational and Mathematical Methods in Medicine"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>The Prony methods are used for exponential fitting. We use a variant of the Prony method for abnormal brain tissue detection in sequences of<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:msub><mml:mi>T<\/mml:mi><mml:mn>2<\/mml:mn><\/mml:msub><\/mml:mrow><\/mml:math>weighted magnetic resonance images. Here, MR images are considered to be affected only by Rician noise, and a new wavelet domain bilateral filtering process is implemented to reduce the noise in the images. This filter is a modification of Kazubek\u2019s algorithm and we use synthetic images to show the ability of the new procedure to suppress noise and compare its performance with respect to the original filter, using quantitative and qualitative criteria. The tissue classification process is illustrated using a real sequence of<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:msub><mml:mi>T<\/mml:mi><mml:mn>2<\/mml:mn><\/mml:msub><\/mml:mrow><\/mml:math>MR images, and the filter is applied to each image before using the variant of the Prony method.<\/jats:p>","DOI":"10.1155\/2014\/810680","type":"journal-article","created":{"date-parts":[[2014,4,14]],"date-time":"2014-04-14T17:05:15Z","timestamp":1397495115000},"page":"1-10","source":"Crossref","is-referenced-by-count":7,"title":["Improving the Performance of the Prony Method Using a Wavelet Domain Filter for MRI Denoising"],"prefix":"10.1155","volume":"2014","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7284-6481","authenticated-orcid":true,"given":"Rodney","family":"Jaramillo","sequence":"first","affiliation":[{"name":"Escuela de Matem\u00e1ticas, Facultad de Ciencias, Universidad Nacional de Colombia, Medell\u00edn, Colombia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marianela","family":"Lentini","sequence":"additional","affiliation":[{"name":"Escuela de Matem\u00e1ticas, Facultad de Ciencias, Universidad Nacional de Colombia, Medell\u00edn, Colombia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marco","family":"Paluszny","sequence":"additional","affiliation":[{"name":"Escuela de Matem\u00e1ticas, Facultad de Ciencias, Universidad Nacional de Colombia, Medell\u00edn, Colombia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"issue":"1","key":"1","first-page":"65","volume":"8","year":"1987","journal-title":"American Journal of Neuroradiology"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1007\/s10334-005-0020-0"},{"key":"3","first-page":"163","volume":"34","year":"2008","journal-title":"Electronic Transactions on Numerical Analysis"},{"key":"5","first-page":"52","volume-title":"Recovery of relaxation rates in MRI T2-weighted brain images via exponential fitting","year":"2010"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1155\/2012\/390645"},{"issue":"2","key":"7","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1137\/0710036","volume":"10","year":"1973","journal-title":"SIAM Journal on Numerical Analysis"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/19\/2\/201"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1007\/s10589-012-9492-9"},{"issue":"4","key":"10","doi-asserted-by":"crossref","first-page":"571","DOI":"10.1137\/0712044","volume":"12","year":"1975","journal-title":"SIAM Journal on Numerical Analysis"},{"issue":"2","key":"11","doi-asserted-by":"crossref","first-page":"362","DOI":"10.1137\/0912020","volume":"12","year":"1991","journal-title":"SIAM Journal on Scientific and Statistical Computing"},{"key":"12","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1137\/0916008","volume":"16","year":"1995","journal-title":"SIAM Journal on Scientific and Statistical Computing"},{"key":"13","first-page":"1","volume-title":"Exponential data fitting","year":"2010"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1109\/83.791966"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1109\/78.806084"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1016\/j.mri.2010.03.013"},{"issue":"1","key":"21","first-page":"85","volume":"20","year":"2011","journal-title":"Radioengineering"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.1910340618"},{"key":"25","year":"1972"},{"key":"26","year":"2004"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2003.819861"}],"container-title":["Computational and Mathematical Methods in Medicine"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/cmmm\/2014\/810680.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/cmmm\/2014\/810680.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/cmmm\/2014\/810680.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,22]],"date-time":"2017-06-22T07:34:24Z","timestamp":1498116864000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/cmmm\/2014\/810680\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":20,"alternative-id":["810680","810680"],"URL":"https:\/\/doi.org\/10.1155\/2014\/810680","relation":{},"ISSN":["1748-670X","1748-6718"],"issn-type":[{"value":"1748-670X","type":"print"},{"value":"1748-6718","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014]]}}}