Measure-Valued Spline Curves: An Optimal Transport Viewpoint
- Author(s): Chen, Yongxin
- Conforti, Giovanni
- Georgiou, Tryphon T
- 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 that that of probability measures, using the framework of optimal transport.
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