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Combined log-polar transform (LPT) and discrete cosine transform (DCT), a novel robust watermarking algorithm for medical images, is proposed. It realized the lossless embedding of patient information into medical images. In the process of feature extraction and watermark embedding, the proposed algorithm reflects the characteristics of LPT, scale invariance and rotation invariance, and retains the advantages of DCT's ability to resist conventional attacks and robustness. As it adopts zero-watermarking embedding technology, it solves the defects caused by the traditional watermark embedding technology to modify the original image data and guaranteed the quality of medical images. The good experimental results show the effectiveness of this algorithm.<\/jats:p>","DOI":"10.1186\/s13638-022-02106-6","type":"journal-article","created":{"date-parts":[[2022,3,25]],"date-time":"2022-03-25T12:37:33Z","timestamp":1648211853000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":43,"title":["Robust watermarking algorithm for medical images based on log-polar transform"],"prefix":"10.1186","volume":"2022","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8538-8352","authenticated-orcid":false,"given":"Tianfu","family":"Li","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jingbing","family":"Li","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jing","family":"Liu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mengxing","family":"Huang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yen-Wei","family":"Chen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Uzair Aslam","family":"Bhatti","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2022,3,25]]},"reference":[{"key":"2106_CR1","doi-asserted-by":"publisher","first-page":"110","DOI":"10.3390\/info11020110","volume":"11","author":"M Begum","year":"2020","unstructured":"M. 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