Calculation of principal curvature direction

[qyp-robot]

hi,To find the normal direction of a surface at a certain point is to fit a plane, the corresponding minimum eigenvalue is the normal vector, then the fork product of the eigenvectors corresponding to the maximum and minimum eigenvalues is the direction of the principal curvature axis？

According to my understanding, the two real eigenvalues are computed through the Weingarten transform in order to obtain the two principal curvature axis directions

[qyp-robot]

@atenpas I look forward to your help, thank you very Much!

[atenpas]

What's a fork product? I think you mean the cross product.

This is just one way of calculating the curvature directions of a surface.