1. An image processing device comprising: a frequency component resolution section that resolves an image obtained from an image sensor having a light-shielded pixel area and a non-light-shielded pixel area into two or more frequency components; a noise amount calculation section that calculates a noise amount for the frequency component based on the frequency component in the light-shielded pixel area; a noise suppression section that suppresses the noise component for the frequency component in the non-light-shielded pixel area according to the noise amount that has been calculated by the noise amount calculation section; and a frequency component synthesis section that synthesizes the frequency component that has been resolved by the frequency component resolution section to thereby form an image.