Image encoding/decoding method and apparatus for same

A video encoding apparatus comprising:

• a prediction block generating unit to generate a prediction block by performing intra prediction on a current block using a DC mode and to generate a final prediction block by performing filtering on a filtering target pixel in the prediction block;
• and
• a reconstructed block generating unit to generate a reconstructed block based on the final prediction block and a reconstructed residual block corresponding to the current block,
• wherein a filtering target pixel comprises a left vertical prediction pixel line that is one vertical pixel line positioned at a leftmost side of the prediction block and an upper horizontal prediction pixel line that is one horizontal pixel line positioned at an uppermost side of the prediction block.