Description Usage Arguments Details Value Author(s) References See Also Examples
Performs the logarithm map \textrm{Log}_{p_1}(p_2) on the given manifold, provided p_2 is in the domain of \textrm{Log}_{p_1}.
1 | log_map(manifold, p1, p2)
|
manifold |
Type of manifold ( |
p1 |
A vector (or column matrix) representing a point on the manifold. |
p2 |
A vector (or column matrix) representing a point on the manifold. |
On the sphere, -p_1 is not in the domain of \textrm{Log}_{p_1}.
A vector tangent to p1
.
Ha-Young Shin
Fletcher, P. T. (2013). Geodesic regression and the theory of least squares on Riemannian manifolds. International Journal of Computer Vision, 105, 171-185.
Cornea, E., Zhu, H., Kim, P. and Ibrahim, J. G. (2017). Regression models on Riemannian symmetric spaces. Journal of the Royal Statistical Society: Series B, 79, 463-482.
Calinon, S. (2020). Gaussians on Riemannian manifolds: Applications for robot learning and adaptive control. IEEE Robotics & Automation Magazine, 27, 33-45.
Shin, H.-Y. and Oh H.-S. (2020). Robust Geodesic Regression. <arXiv:2007.04518>
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