A method for generating a prediction block for coding a block of a frame using intra prediction. The method includes determining, using a training region, filter coefficients for generating the prediction block, the training region neighbors the block and includes a plurality of reconstructed pixels, the filter coefficients minimize a function of differences, each difference being a respective difference between a pixel in the training region and a prediction of that pixel in the training region, and the predictions use the filter coefficients; and generating the prediction block using the determined filter coefficients.