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Abstract

An object is to reduce an intra-prediction error and improve coding efficiency by introducing an adaptive reference pixel generating process in accordance with coding conditions into intra-prediction. In picture encoding or picture decoding for generating a prediction signal using spatial inter-pixel prediction and encoding or decoding a picture using a prediction residual signal which is a difference between the prediction signal and an original signal, a tap length of an interpolation filter necessary for generating a reference pixel of intra-prediction is set based on one or both of a size of a block which is a processing unit of coding, transform, or prediction and a quantization parameter of the block for the reference pixel, a filtering process which generates the reference pixel is performed using the interpolation filter corresponding to the set tap length, and an intra-prediction signal corresponding to a designated intra-prediction mode is generated using the generated reference pixel.

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