Abstract
In this paper, the Crank-Nicholson semi-implicit difference scheme is applied to discrete the Rudin-Osher-Fatemi model which was proposed by Rudin et al. in 1992. The semi-implicit discrete scheme avoids the shortcomings of instability and many iterative numbers that the explicit discrete scheme has. We propose an image denoising algorithm in the matrix form. The experimental results show that the new matrix semi-explicit scheme is efficient.
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