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arXiv · 1801.03186

Measure-valued spline curves: an optimal transport viewpoint

Yongxin Chen·Giovanni Conforti·Tryphon T. Georgiou
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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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Yongxin Chen, Giovanni Conforti, Tryphon T. Georgiou. 2018-01-09. Measure-valued spline curves: an optimal transport viewpoint. https://arxiv.org/abs/1801.03186

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