This article is cited in 7 papers

Asymptotic properties of risk estimate of wavelet-vaguelette coefficients thresholding in tomographic reconstruction problem

A. V. Markin, O. V. Shestakov

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics

Abstract: Tomographic image reconstruction problem using wavelet-vaguelette decomposition is considered. Consistency and asymptotic normality of risk estimate of vaguelette coefficients thresholding are studied.

Keywords: wavelets; tomography; thresholding; risk estimate; limit distribution.