Wyner and Ziv characterized the rate distortion function for lossy source coding with side information at the decoder. It is well known that for the quadratic Gaussian case, the Wyner-Ziv rate-distortion function coincides with the conditional rate-distortion function. In this paper, we extend the problem to the coding of multivariate Gaussian source with multiple Gaussian side information at the decoder. The achievable region is obtained, and it is easily extended to the case that the difference between the source and the side information is multivariate Gaussian, no matter what distributions the source and the side information are. We apply this theoretical model to Distributed Video Coding (DVC) by considering the difference of the Distributed frame (D frame) and the Side-information frame (S frame) to be multivariate Gaussian distributed. This introduces rate allocation problem into DVC, which can be solved by a reverse water-filling method. Simulation results show that around 1.5-2 dB coding gain benefits from the multivariate Gaussian Wyner-Ziv coding model.

The multipass rendering method based on the global illumination model can generate the most photo-realistic images. However, since the multipass rendering method is very time consuming, it is impractical in the industrial world. This paper discusses a massively parallel processing approach to fast image synthesis by the multipass rendering method. Especially, we focus on the performance evaluation of the view-dependent object-space parallel processing on the (Mπ)2 which has been proposed in our previous paper. We also propose two kinds of distributed frame buffer system named cached frame buffer and multistage-interconnected frame buffer. These frame buffer systems can solve the access conflict problem on the frame buffer. The simulation results show that the (Mπ)2 has a scalable performance. For example, the (Mπ)2 with more than 4000 processing elements can achieve an efficiency of over 50%. We also show that both of the proposed distributed frame buffer systems can relieve the overhead due to frame buffer access in the (Mπ)2 in the case that a large number of high-performance processing elements are adopted in the system.