Denoising of piecewise constant signal based on total variation.

Total variation denoising (TVD) algorithm is suitable for the restoration of piecewise constant signals (PCS). The amplitude accuracy of discontinuities affects the overall denoising effect. Improving the amplitude accuracy of discontinuities is the difficulty of PCS denoising. Recent papers have presented TVD-based algorithms to improve the denoising precision. After applying the forward–backward splitting (FBS) method, the iteration of the denoising is comprised by the traditional TVD. This paper proposes a new upper bound function to enhance the accuracy of the traditional TVD method. Then, the enhanced TVD is used to update the TVD-based algorithm to improve the denoising efficiency. The experimental results demonstrate that the proposed method has superior performance compared to other methods in PCS denoising. [ABSTRACT FROM AUTHOR]