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In this paper, we propose a denoising method for hyperspectral images using 3D wavelets. We use the sparse analysis regularization using a 3D overcomplete wavelet dictionary. The minimization problem is solved using iterative Chambolle algorithm. The simulation results show that the 3D dictionary outperforms the 2D one, in terms of Peak Signal to Noise Ratio (PSNR). Denosing hysperspectral cubes is likely to increase the classification accuracy of the hyperspectral data since it can enhance the spectral profiles (or features) that can be useful to discriminate between information classes.
Rasti et al. (Sun,) studied this question.