This paper describes a new denoising algorithm which named Continuation total-variation denoising (CTVD)
algorithm. The algorithm is based on the novel Nesterov’s first-order method, most notably Nesterov’s smoothing
technique, tailored to the image processing application. The algorithm also introduces a fixed point continuation
technique to increase the convergence rate, and in particular when to deal with high dynamic range signals and largescale
problems.
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