Code versions and paper do not match

[shapovalov]

Hello, thanks for sharing the code!
Can anyone tell what should be considered source of truth? I have found a few differences between the paper and both versions of the code, e.g.:

1. initialisation of control points: in C++ and in the paper, PCA on X_world is used, while in Matlab it is just a unit simplex;
2. as a second step, the paper considers four options depending on the dimensionality of the null space; C++ only has three options (I have not figured out whether N=1 or N=4 missing); in Matlab, for N=1, the algorithm is not matching the pairwise distances between the control points but rather distances to the centre.

I want to open source a PyTorch version but don’t want to implement and benchmark all versions, sou would be good to know which is the source of truth. Thanks!