Stabilized Hard Thresholding of Wavelet-Vaguelette Decomposition Coefficients in Reconstructing Tomographic Images Using Projections with Correlated Noise

摘要

Abstract A way of reconstructing tomographic images based on wavelet-vaguelette decomposition is considered for a model with correlated additive noise. The asymptotic properties of an unbiased estimator are studied for the mean-square risk with stabilized hard thresholding of the coefficients of decomposition. It is shown that under certain conditions, this estimator is strongly consistent and asymptotically normal.