Measure-valued spline curves: An optimal transport viewpoint
- Author(s): Chen, Y;
- Conforti, G;
- Georgiou, TT
- et al.
Published Web Locationhttps://doi.org/10.1137/18M1166249
The aim of this article is to introduce and address the problem to smoothly interpolate (empirical) probability measures. To this end, we lift the concept of a spline curve from the setting of points in a Euclidean space to that of probability measures, using the framework of optimal transport.