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\subsection{Video Segmentation}
We partition the video volume into $C^N$ non-overlapping regions using GBH segmentation. The segmentation is based on appearance and motion similarity between the local regions. Each segment $c_i \in C^N$ is comprised of arbitrary shape & sized cloud of points $x_i=\{x^0_i, x^1_i, ...., x^P_i\}$ in video volume space $\mathbb{R}^3$.