In this report, we introduce Rudin-Osher-Fatemi Model(ROF-Model) and some numerical methods for solving ROF-Model. And do some comparison on these methods for solving ROF-Model. Rudin-Osher-Fatemi Model is a famous and efficient model for image reconstruction. Because the nonlinear term in ROF-Model, to find an efficient and accurate method to solve ROF-Model is very important in image reconstruction.

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