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Copy file name to clipboardExpand all lines: docs/docs/sections/shape_metrics.md
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## Chamfer Distance
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The Chamfer distance between two point clouds $P_1 = \{x_i \in \mathbb{R}^3\}_{i=1}^n$ and $P_2 = \{x_j \in \mathbb{R}^3\}_{j=1}^m$ is defined as the average distance between pairs of nearest neighbors between $P_1$ and $P_2$ *i.e.*
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