1. An image processing apparatus comprising: an input unit adapted to input an image; a first acquisition unit adapted to acquire a low-frequency component image from the image input by the input unit; a first transformation unit adapted to transform the low-frequency component image acquired by the first acquisition unit; a second transformation unit adapted to transform the image input by the input unit; a second acquisition unit adapted to acquire a transformed high-frequency component image from the transformed image obtained by the second transformation unit; and a display control unit adapted to display, on a display unit, a combined image obtained by combining the transformed low-frequency component image obtained by the first transformation unit and the transformed high-frequency component image acquired by the second acquisition unit.