Image Denoising Using Fractional-Order Non-Local TV Model
Ning He, Ke Lü, Jinbao Wang · 2014
A fractional order non-local denoising algorithm and the implementation of fractional order non-local filter are introduced and discussed in this paper. The proposed regularize image denoising problem using a total variation (TV) prior on a graph, which based on the Riemann-Liouville numerical algorithm of fractional differential. The solution of this model is obtained by solving the minimum of the fractional functional. An efficient numerical method based on the dual theory is introduced to solve the corresponding Euler-Lagrange equation. The relationship between the regularization parameter and fractional-order is analyzed, which provides an important basis for the design of optimal strategy. The experiments demonstrate the validity of this fractional-order non-local TV model. The results of emulation experiments show that our algorithm's performance is prior to the Gaussian smoothing filter.