An approach to image denoising based on variational decomposition in combination with vector field filter

A new image denoising algorithm based on variational decomposition and filtering of vector fields is presented in this paper. First, the noisy image is decomposed into a bounded variation component and a oscillating component by applying Meyer-Vese-Osher model in combination with Chambolle´s fixed point algorithm. Next, the oscillating component is smoothed by using vector field filter. Then, the sum of the bounded variation component and the smoothed oscillating component is calculated to obtain the filtered resultant. Experiments show that the proposed algorithm works well in noisy image with Gaussian white noise.