Figure 2
A comparison of linear noise-suppression and nonlinear denoising approaches for local filtering. (a) A set of noisy input images were generated (blue line; true signal, dashed orange line). A noise-suppression approach (Wiener filtration: weighting according to the SNR in Fourier space) reduces the noise (b), whereas a denoising approach (total variation regularization: optimization to minimize the magnitude of the gradient while retaining maximum fidelity) removes much more visible noise and flattens spurious features (c). On averaging, the raw images (d) and Wiener filtered images (e) tend towards the true signal, however, the denoised images (f) do not. Therefore, if images are to be used for further averaging, only a linear weighting, noise-suppression approach is appropriate. |