问题描述
假设我有 n 个点，还假设该点具有顺序，并且不一定要使这些点起作用.我想知道如果这些点没有描述函数怎么对它们进行插值?例如，这将是原始点:
Suppose i have n points, also suppose that this points have an order, and not necessary this points make a function. I'm wondering how to interpolate them if the points do not describe a function? For example this will be the original points:
我希望这个结果:
请注意，仅使用样条线不起作用，因为这些点不起作用，而使用Bezier曲线也不起作用，因为它们不对点进行插值(仅通过点).我该怎么做呢?有针对这个的算法吗?
Note that only using splines do not works because the points do not make a function, and also using Bezier curves do not works because them do not interpolate the points (only pass near of them). How can i do for get this? Is there an algorithm for that?
只是一个更新.由于我作为参考接受的答案的链接已关闭，因此我将分享我根据该文章撰写的文章，以帮助其他人解决此问题.
Just an update. Since the accepted answer’s link that I took as a reference is down, I’m going to share an article I wrote based on that for helping others with this issue.
推荐答案
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样条线种类很多，例如， Catmull-Rom样条线适用在这里.
通过贝塞尔曲线进行插值的简单而有趣的方法是Maxim提出的.Shemanarev
Simple and interesting method for interpolation by Bezier curves has been proposed by Maxim Shemanarev
这篇关于如何对未描述函数的N点进行插值的文章就介绍到这了，希望我们推荐的答案对大家有所帮助，也希望大家多多支持！