Method and apparatus for encoding and decoding image usging filtered prediction block

The present invention how the image encoding according to the present invention relates to a method and apparatus for encoding and decoding an image are inter-prediction, or filtering the using the intra-prediction generates a predicted block for the current block, and generating a prediction block using a predetermined filter and on the basis of the filtered prediction block it can be based on the more accurate prediction image by the prediction coding prediction coding the current block, thereby improving the compression rate of image encoding. Prediction, filtering, FoE