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A. Avramović and D. Sluga contributed equally and share the first authorship. This research was partially funded by Ministry of Scientific and Technological Development, Higher Education and Information Society of Republic of Srpska, under contract number 07.051/68-14/18 and contract number 19/6-020/961-144/18, partially under the Bilateral Academic and Technological cooperation between Bosnia and Herzegovina and Slovenia, under contract number 19-6-020/964-25-1/18, and partially by the Slovenian Research Agency under Grant P2-0241 and Grant BI-BA/19-20-047 (Bilateral Collaboration Project).

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Among the many categories of images that require lossless compression, medical images can be indicated as one of the most important category. Medical image compression with loss impairs of diagnostic value, therefore, there are often legal restrictions on the image compression with losses. Among the common approaches to medical image compression we can distinguish the transformation-based and prediction-based approaches. This paper presents algorithms for the prediction based on the edge detection and estimation of local gradient. Also, a novel prediction algorithm based on advantages of standardized median predictor and gradient predictor is presented and analyzed. Removed redundancy estimation was done by comparing entropies of the medical image after prediction

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