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The reconstruction error for a single data point is defined as the Euclidean distance between the original 3D point and its reconstructed approximation on the 2D subspace.

Conditions: The original data point $\mathbf{x}_i$ is in 3D space.; The reconstructed point $\hat{\mathbf{x}}_i$ is on the 2D subspace.; Distance is measured using the Euclidean norm.

The reconstruction error for a single data point is defined as the Euclidean distance between the original 3D point and its reconstructed approximation on the 2D subspace.

Conditions: The original data point $\mathbf{x}_i$ is in 3D space.; The reconstructed point $\hat{\mathbf{x}}_i$ is on the 2D subspace.; Distance is measured using the Euclidean norm.