The present invention relates to a method of performing intra-prediction, including determining whether to apply a first filter to a reference pixel value based on information about surrounding blocks of a current block, if, as a result of the determination, the first filter is determined to be applied, applying the first filter to the reference pixel value, performing intra-prediction for the current block based on the reference pixel value, determining whether to apply a second filter to a prediction value for each prediction mode of the current block, predicted by performing the intra-prediction based on the information about the surrounding blocks, and if, as a result of the determination, the second filter is determined to be applied, applying the second filter to the prediction value for each prediction mode.