A parametric solution for optimal overlapped block motion compensation

We find the optimal window for overlapped block motion compensation (OBMC) by statistically modeling the motion field, the field of block motion estimates and their relationship. This enables us to show how the optimal OBMC window is affected by random field parameters, such as the variance of the motion field and the correlation coefficients of both the intensity field and the motion field. The OBMC window obtained in this fashion is shown to have good performance in reducing the prediction error. Furthermore, this parametric solution provides insight into motion uncertainty and the overlapped motion compensation process.