An image processor to produce a local decoded image corresponding to an input image, a region partitioning module to classify the local decoded image into a plurality of regions using a given parameter, a filter designing module to design a filter coefficient for every classified region, a filter processor to filter the local decoded image according to a corresponding filter coefficient for every classified region, a frame memory to store a filtered image, a predictor to produce a prediction image using a stored image, and an encoder to output a parameter used for classification of the region and information of a filter coefficient every classified region as encoded data are provided.