1. A moving picture decoding apparatus inputting a compressed image and decoding an image based on a prediction image comprising: a memory for storing a reference image for generating the prediction image; an input section for inputting indication information indicating a deformation method and inputting the compressed image; and a prediction image generation section, including a processing section for performing deformation processes corresponding to a plurality of deformation methods, for processing the reference image in the memory with a deformation process corresponding to the deformation method indicated by the indication information inputted to the input section so as to generate the prediction image.