Measure-Valued Spline Curves: An Optimal Transport Viewpoint
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Measure-Valued Spline Curves: An Optimal Transport Viewpoint

  • Author(s): Chen, Yongxin
  • Conforti, Giovanni
  • Georgiou, Tryphon T
  • et al.
Abstract

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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