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We model wavelet coefficients of natural images in a neighborhood using the multivariate Elliptically Contoured Distribution Family (ECDF) and discuss its application to the image denoising problem. A desirable property of the ECDF is that a multivariate Elliptically Contoured Distribution (ECD) can be deduced directly from its lower dimension marginal(More)
In this paper, we present a novel frame-based denoising algorithm for photon-limited 3D images. We first construct a new 3D nonseparable filterbank by adding elements to an existing frame in a structurally stable way. In contrast with the traditional 3D separable wavelet system, the new filterbank is capable of using edge information in multiple directions.(More)
Prior models play an important role in the wavelet-based Bayesian image estimation problem. Although it is well known that a residual dependency structure always remains among natural image wavelet coefficients, only few multivariate prior models with a closed parametric form are available in the literature. In this paper, we develop new multivariate prior(More)
‘Sparse coding’ is a ubiquitous strategy employed in the sensory information processing system of mammals. Some work has focused on the validation of this strategy through finding the sparse component of sensory input, and then illustrating a fact that the resulting basis functions or corresponding filter response have the visually similar receptive field(More)
A wrapper feature selection method based on Immune Clonal Algorithm for SVM is presented and applied to 1-D images recognition of radar targets in this paper. In the proposed method, the cross-validation is used for feature evaluation in wrapper feature selection step for SVMs. And Immune Clonal Algorithm, which is characterized by rapid convergence to(More)
A new system called dual ridgelet frame is introduced in this paper. The construction of the dual ridgelet frame starts with a dual frame constructed using biorthogonal wavelet basis in Radon domain, and then, the image of the resulting dual frame under an isometric map from Radon domain to L 2 (R 2 ) is a dual frame again, and we call it dual ridgelet(More)