1. An image processing apparatus, comprising: a normal interpolated image generation unit configured to generate an image that is interpolated between a plurality of original images reproduced along time series, the image being a normal interpolated image, based on each of the plurality of original images; a high-frequency area extraction unit configured to extract a high-frequency area having a spatial frequency higher than a predetermined value in each of the plurality of original images; a high-frequency area interpolated image generation unit configured to generate an image that is interpolated between the plurality of original images, the image being a high-frequency area interpolated image, based on a change in position of the high-frequency area along with an elapse of time on the time series and on each of the plurality of original images; and a combination unit configured to execute combining processing to combine the normal interpolated image and the high-frequency area interpolated image.