Fig. 2

Example of spectral TV decomposition with band-pass filtering (left column) in comparison to Fourier decomposition with Gaussian band-pass filtering (right column) for a synthetic image containing disks at different sizes and contrasts (original image on the top left). Images represent small to large scales/ high to low frequencies. For the spectral TV decomposition, the spectral response is plotted (bottom left), the red crosses mark the spectral responses of the individual disks. Note that to aid visualisation in the Fourier decomposition each image has been rescaled independently