{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,2]],"date-time":"2026-06-02T15:51:18Z","timestamp":1780415478555,"version":"3.54.1"},"reference-count":23,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2022,11,30]],"date-time":"2022-11-30T00:00:00Z","timestamp":1669766400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation of China","award":["61871380"],"award-info":[{"award-number":["61871380"]}]},{"name":"National Natural Science Foundation of China","award":["4172034"],"award-info":[{"award-number":["4172034"]}]},{"name":"National Natural Science Foundation of China","award":["ZR2020MF019"],"award-info":[{"award-number":["ZR2020MF019"]}]},{"name":"Beijing Natural Science Foundation","award":["61871380"],"award-info":[{"award-number":["61871380"]}]},{"name":"Beijing Natural Science Foundation","award":["4172034"],"award-info":[{"award-number":["4172034"]}]},{"name":"Beijing Natural Science Foundation","award":["ZR2020MF019"],"award-info":[{"award-number":["ZR2020MF019"]}]},{"name":"Shandong Provincial Natural Science Foundation","award":["61871380"],"award-info":[{"award-number":["61871380"]}]},{"name":"Shandong Provincial Natural Science Foundation","award":["4172034"],"award-info":[{"award-number":["4172034"]}]},{"name":"Shandong Provincial Natural Science Foundation","award":["ZR2020MF019"],"award-info":[{"award-number":["ZR2020MF019"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Because of noise interference, improper exposure, and the over thickness of human tissues, the detailed information of DR (digital radiography) images can be masked, including unclear edges and reduced contrast. An image-enhancement algorithm based on wavelet multiscale decomposition is proposed to address the shortcomings of existing single-scale image-enhancement algorithms. The proposed algorithm is based on Shannon\u2013Cosine wavelets by taking advantage of the interpolation, smoothness, tight support, and normalization properties. Next a multiscale interpolation wavelet operator is constructed to divide the image into several sub-images from high frequency to low frequency, and to perform different multi-scale wavelet transforms on the detailed image of each channel. So that the most subtle and diagnostically useful information in the image can be effectively enhanced. Moreover, the image will not be over-enhanced and combined with the high contrast sensitivity of the human eye\u2019s visual system in smooth regions, different attenuation coefficients are used for different regions to achieve the purpose of suppressing noise while enhancing details. The results obtained by some simulations show that this method can effectively eliminate the noise in the DR image, and the enhanced DR image detail information is clearer than before while having high effectiveness and robustness.<\/jats:p>","DOI":"10.3390\/e24121754","type":"journal-article","created":{"date-parts":[[2022,11,30]],"date-time":"2022-11-30T07:10:27Z","timestamp":1669792227000},"page":"1754","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":26,"title":["A New X-ray Medical-Image-Enhancement Method Based on Multiscale Shannon\u2013Cosine Wavelet"],"prefix":"10.3390","volume":"24","author":[{"given":"Meng","family":"Liu","sequence":"first","affiliation":[{"name":"College of Information and Electrical Engineering, China Agricultural University, Beijing 100083, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3180-2810","authenticated-orcid":false,"given":"Shuli","family":"Mei","sequence":"additional","affiliation":[{"name":"College of Information and Electrical Engineering, China Agricultural University, Beijing 100083, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Pengfei","family":"Liu","sequence":"additional","affiliation":[{"name":"Huiying Medical Technology Co., Ltd., Beijing 100192, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yusif","family":"Gasimov","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Informatics, Azerbaijan University,  AZ1007 Baku, Azerbaijan"},{"name":"Institute of Mathematics and Mechanics, ANAS, B. Vahabzade Str., 9, AZ1148 Baku, Azerbaijan"},{"name":"Institute of Physical Problems, Baku State University, Z. 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