Mode-dependent fast separable KLT for block-based intra coding

In this paper, we derive separable KLTs for coding H.264/AVC intra prediction residuals, using a simple image correlation model. Our analysis shows that for some intra prediction modes, we can in fact just use the DCT for performing either the row-wise or column-wise transform. Furthermore, we also compute the KLT that should be used based on the image correlation model, which happens to have sinosuidal terms. The 4 × 4 transform also has a structure that can be exploited to reduce the operation count of the transform operation. In our simplified implementation of mode-dependent directional transforms (MDDT), we only need to make use of two matrices: the DCT and the derived KLT. Our experimental results show that in terms of coding efficiency, our proposed approach has similar performance when compared with MDDT. More importantly, compared to MDDT, our approach requires no training and has lower computational and storage costs.