Abstract: To reduce the “wrap around” aliased lines from finite ridgelets transform (FRIT), the aliased lines are regarded as a kind of oscillation. Firstly, the nonlinear thresholding strategy is applied to coefficients of FRIT. And then, the total variational regularization method is introduced to suppress the oscillation. So a minimization total variation energy functional model with restrictions on the FRIT domain is established. By assuming that the coefficients remaining are identical with those of the restoration image,the feasible domain of the model is determined. Finally, the projected gradient algorithm is used to solve the model. Experiments show that the approach is very robust to noise, and that the aliased line are suppressed efficiently, and at the same time, remove noise and maintain the edge.

Key words: finite ridgelet transform, total variation, energy functional, nonlinear thresholding