PICTURE ENCODING APPARATUS AND PICTURE DECODING APPARATUS

An input picture is blocked in units of a specific number of pixels. A picture corresponding to a reference picture of the input picture is stored in a memory. A motion compensating circuit compares the reference picture stored in the memory and the input picture to calculate a transformation coefficient of an affine transformation making the pixel value difference between the both pictures small. The affine transformation is equivalent to panning or zooming, thus calculation being made for each picture or for every plural pictures. In addition, the motion compensating circuit transforms the input picture with the affine transformation coefficient thus calculated. An encoder collectively encodes the reference picture signal and the transformed signals of all other pictures and simultaneously encodes the affine transformation coefficient to generate an encoded signal.