| apw_spherical | A polar wander dataset |
| calculate_loss | Calculate Loss Function |
| Cartesian_to_Spherical | Convert Cartesian coordinates to cpherical coordinates |
| cross | Compute the cross product of two vectors |
| cross_normalized | Compute the normalized cross product of two vectors |
| dot | Compute the dot product of two vectors |
| edp | Compute the equal-distance projection of a point onto the xy plane |
| Exp | Compute the exponential map on the unit sphere. |
| Geodesic | Compute the value of the geodesic curve connecting two points on the unit sphere for a given set of time points t |
| goni_spherical | A tropical cyclone dataset |
| knots_quantile | Generate knots for the piecewise geodesic curve based on the quantiles |
| norm2 | Compute the L2 norm (Euclidean norm) of a vector |
| Normalize | Normalize a matrix row-wise |
| penalized_linear_spherical_spline | Penalized Linear Spherical Spline |
| piecewise_geodesic | Piecewise Geodesic |
| spherical_dist | Calculate spherical distance between two vectors |
| Spherical_to_Cartesian | Convert spherical coordinates to Cartesian coordinates |