An imaging method comprises acquiring image data in which image components are spatially modulated at distinct spatial frequencies, transforming the image data into the Fourier domain and separating the image components in the Fourier domain. The image components may be transformed into the spatial domain. The image components may comprise different colors. In some embodiments saturated pixels are reconstructed by performing an optimization based on differences between image copies in the Fourier domain. Imaging apparatus may perform the imaging methods.