Open3D point cloud data processing (twenty): least squares straight line fitting (three-dimensional)

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Column directory: Open3D point cloud data processing (Python)

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1 The principle of least squares three-dimensional straight line fitting

The principle of least squares 3D line fitting is to find the optimal line model to fit a given data set by minimizing the sum of the squares of the distances from the data points to the line. This distance refers to the perpendicular distance from the data point to the line.

Suppose we have $n$ data points