Modelling the effect of quantizing affine motion vectors on rate and energy of difference macroblocks

This paper derives the relationship between the energy of difference macroblock and affine motion vector quantization step size. This is an important step in the analysis of advanced motion models for future video coding methods, as it facilitates rate optimization for affine motion vectors. The derived model shows that the difference macroblock energy has a squared relationship with the affine motion vector quantization step size. In addition, experimental results are shown validating this result and providing further insight.