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The hybrid coding method combining the predictive coding with the orthogonal transformation and the quantization is mainly used recently. This paper proposes a new hybrid parallel Intra Coding based on interpolative prediction which uses correlations between neighboring pixels, including non-causal pixels. In order to get high prediction performance, the optimal quantizing scheme, which is used to cancel the error that expands when decoding, is used. Furthermore, a new type of block shape, which enables parallel coding, is proposed to simplify the processing of interpolative prediction. The result of comparison between proposed method and intra coding method in H.264 shows that the PSNR of proposed technique achieves 1 dB to 4 dB improvement in Luminance, especially for image with more details.