Measure-valued spline curves: an optimal transport viewpoint
Measure-valued spline curves: an optimal transport viewpoint
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DOI：
10.1137/18m1166249
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发表时间：
2018-01
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影响因子：
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通讯作者：
Yongxin Chen;Giovanni Conforti;T. Georgiou
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文献类型：
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作者：
Yongxin Chen;Giovanni Conforti;T. Georgiou
这篇文章的目的是介绍和解决问题，顺利地插入（经验）概率措施。为此，我们解除的概念，样条曲线的设置点在欧几里得空间的概率措施，使用的框架最佳运输。
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.