1. An image processing apparatus, comprising: an image separation processing section for separating a pixel value of an inputted image signal into a pixel value of a transparent static image portion which has transparency and which remains stationary over a plurality of frames, and a pixel value of a background image by detecting from the inputted image signal a pixel value common among the plurality of frames within the inputted image signal, wherein the image separation processing section determines that the inputted image signal includes a transparent static image portion by determining whether a portion of the inputted image signal has a constant transparency and remains stationary over a predetermined number of frames; a frame interpolator that performs frame interpolation using the pixel value of the background image separated in the image separation processing section; and a composition processing section for combining the pixel value of the background image frame-interpolated by the frame interpolator with the pixel value of the transparent static image portion separated by the image separation processing section.