On the Design of Optimal Sub-Pixel Motion Compensation Interpolation Filters for Video Compression

In this paper, the design of optimal temporal prediction for video coding is addressed as a quantization design problem. In the proposed framework, a codebook consisting of a set of interpolation filters is optimized to achieve rate-distortion optimality. The optimization process jointly affects two aspects of motion compensation to achieve rate distortion optimality: 1) The size of the codebook or motion vector (MV) resolution and 2) The filter coefficients for each sub-sample interpolation filter. Note that filter coefficients dictate the behavior of the interpolation filter in terms of signal-noise shaping.