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In this paper, we consider a wavelet based edge-preserving regularization scheme for use in linear image restoration problems. Our efforts build on a collection of mathematical results indicating that wavelets are especially useful for representing functions that contain discontinuities (i.e., edges in two dimensions or jumps in one dimension). We interpret(More)
The selection of multiple regularization parameters is considered in a generalized L-curve framework. Multiple dimensional extensions of the L-curve for selecting multiple regularization parameters are introduced, and a minimum distance function (MDF) is developed for approximating the regularization parameters corresponding to the generalized corner of the(More)
We introduce a sliding window adaptive RLS-like algorithm for filtering alpha-stable noise. Unlike previously introduced stochastic gradient-type algorithms, the new adaptation algorithm minimizes the L/sub p/ norm of the error exactly in a sliding window of fixed size. Therefore, it behaves much like the RLS algorithm in terms of convergence speed and(More)
In this paper, we introduce the L-hypersurface method for use in linear inverse problems. The new method is intended to select multiple regularization parameters simultaneously. It is a multidimensional extension of classical L-curve method and hence does not require any speciic knowledge about the noise level or signal semi-norm. We give examples of the(More)
A framework for obtaining fast RLS algorithms which use a roughly quantized auxiliary input signal for eeciently updating the required adaptation gain vector is presented. The new adaptation procedure is very similar to the conventional fast RLS adaptation. Analytically, it is shown that the lter weights are found by solving almost the same normal equations(More)
The image gets corrupted by Additive White Gaussian Noise during the process of acquisition, transmission, storage and retrieval. Denoising refers to suppressing the noise while retaining the edges and other important detailed structures as much as possible. This paper presents a general structure of the recovery of images using a combination of variation(More)
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