This function performs the logarithm map at (0, 0, 1) on the unit sphere.
an element of the unit sphere in three-dimensional Euclidean space.
This function performs the logarithm map at (0, 0, 1) on the unit sphere. Note that,
vec is normalized to be contained in the unit sphere.
Fletcher, P. T., Lu, C., Pizer, S. M. and Joshi, S. (2004). Principal geodesic analysis for the study of nonlinear statistics of shape. IEEE Transactions on Medical Imaging, 23, 995-1005.
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