Statistics and dependency analysis of the uniform discrete curvelet coefficients and hidden Markov tree modeling

The uniform discrete curvelet transform (UDCT) is a variant of the discrete curvelet transform with basis function located on a uniform grid. The transform is implemented based on a filter bank structure in the frequency domain. In this paper, we study statistics and dependency analysis of the UDCT coefficients and impose the hidden Markov tree (HMT) model for the UDCT. Finally, the experiment in image denoising is shown as an application of the modeling.

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