V. Melnik, K. Egiazarian, I. Shmulevich, P. Kuosmanen
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A tree of median pyramidal decompositions with an application to signal denoising
We propose to generate a library of median pyramidal decompositions organized as a tree. It is shown that the best decomposition on this tree can be chosen using the techniques developed in wavelet theory. Based on the tree of decompositions, a denoising algorithm is introduced. Numerical simulations have shown that the proposed algorithm is more effective for signal denoising than the method based on the traditional median pyramidal transform.