Removing Noise and Preserving Details with Relaxed Median Filters
Journal of Mathematical Imaging and Vision
Image denoising: a nonlinear robust statistical approach
IEEE Transactions on Signal Processing
On denoising and best signal representation
IEEE Transactions on Information Theory
De-noising by soft-thresholding
IEEE Transactions on Information Theory
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We reduced noise in aerial imagery using a higher-order correlation-based method using wavelet transforms. In our approach, we separated wavelet coefficients and noise based on a third-order detection algorithm. Because the higher that second-order moments of the Gaussian probability function are zero, the third-order correlation coefficient will not have a statistical contribution from Gaussian noise. The extension of denoising using higher-order statistics from 1-D to 2-D is not necessarily straightforward. We investigated different separable approache for image denosing. Using our higher-order statistical approach gave the lowest MSE in all cases when compared to conventional second-order denoising. Averaging the results of row and column processing resulted in the best perceptual quality for our imagery.