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Given set of points in $3D$ ( $X = (x_1, x_2, x_3)$, $Y = (y_1, y_2, y_3)$ ), how can I fit transformation from $X$ to $Y$?

As far as I know this is called projective transformation. Here is example of $X$ and $Y$. Blue and red lines in $X$ are parallel, but they are not parallel in $Y$.

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    have you looked at least squares techniques?2010-12-27

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