Least squares fit is used for 2D line fitting. In 3D space, the line is called 3D Orthogonal Distance Regression (ODR) line. The line can be easily found in 3D using SVD (singular value decomposition). Assuming that we have a bunch of 3D points (x0, y0, z0) to (xn, yn, zn), the algorithm (in MATLAB) is as follows: …
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