黎曼流形上的混合光滑样条
Blended smoothing splines on Riemannian manifolds
摘要：
我们提出了一种方法来计算拟合曲线B的一组数据点d0，...，dm位于流形M上。该曲线通过将在不同切空间上获得的欧几里得贝塞尔曲线混合在一起而获得。该方法保证了几个性质，其中B是C1，是自然的三次光滑样条时，M是欧几里德空间。我们展示了球面S2上的例子作为概念的证明。
英文摘要：
We present a method to compute a fitting curve B to a set of data points d0,...,dm lying on a manifold M. That curve is obtained by blending together Euclidean Bézier curves obtained on different tangent spaces. The method guarantees several properties among which B is C1 and is the natural cubic smoothing spline when M is the Euclidean space. We show examples on the sphere S2 as a proof of concept.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
