# Measure-valued spline curves: an optimal transport viewpoint

arXiv: https://arxiv.org/abs/1801.03186 · HTML: https://mlsanity.com/paper/1801.03186/

## Key facts

- Cited by 17 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 9 Jan 2018.

## Built on by (most cited first, 17 of 17)

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## Abstract (arXiv)

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.