… the optimal transportation map on the sphere. Constructing with a variational principle approach,
our spherical OT … energy minimization problem and building a spherical power diagram. …

… We consider the problem of optimal transportation on the sphere. That is, given two prescribed
density functions \(f_1\) and \(f_2\), we seek a mapping \(T:{\mathbb {S}}^{2}\rightarrow {\…

… More precisely, sliced optimal transport is the concatenation of the well-… transport
problems. Inspired by this concept, we propose two adaptions for optimal transport on the 2-sphere. …

… where the L2 distance approximates the optimal transport distance, thereby simplifying …
Spherical Sliced Optimal Transport (LSSOT) framework, which utilizes slicing to embed spherical …

… manifold M, we look for a smooth optimal transportation map G, pushing one measure to
the … –Wang enabled Loeper to treat the standard sphere case by overcoming two difficulties, …

… using spherical harmonics. … that optimal transport will improve existing algorithms by using
the energy of the shapes to be quantified to determine the most efficient derivation of spherical …

… spherical regression as a problem of optimal transport within … for directly parameterizing a
spherical regression map, and … stability of optimal transport maps on the sphere, one that may …

… to the transportation problem by other authors. The connection of c-concavity with mass
transport … include reflection through a sphere or through a plane (for details refer to Appendix B): …

… SOT learns to optimally transport features to align them and … features as illustrated in the
upper sphere in Fig. 1. This … efficiency, we consider introducing optimal transport (OT) to align …

… The above optimal transportation problem is a formulation of a … is equivalent to an optimal
transportation problem formulated … The optimal transportation problem dealt with in this paper …