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.

中文翻译：

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小波-Vaguelette分解系数的稳定硬阈值在使用相关噪声的投影重建层析图像中的应用

对于具有相关加性噪声的模型，考虑了一种基于小波-Vaguelette分解的层析图像重建方法。对于均方风险具有稳定的硬分解阈值的均方风险，研究了无偏估计量的渐近性质。结果表明，在某些条件下，该估计是强一致的，并且是渐近正态的。