1. An image processing apparatus comprising: an obtaining unit configured to obtain an image signal output by image capturing; a separation unit configured to generate a plurality of frequency range images by separating an image based on the image signal obtained by said obtaining unit into predetermined frequency ranges; an image processing unit configured to apply predetermined image processing to each of the plurality of frequency range images generated by said separation unit; a first generation unit configured to generate an image for saving based on the plurality of frequency range images to which said image processing unit has applied the predetermined image processing; a second generation unit configured to generate an image for display based on some frequency range images, out of the plurality of frequency range images to which said image processing unit has applied the predetermined image processing; and an output unit configured to output one of the image for saving and the image for display.