问题:如果曲线不是单值,你如何拟合平面上的点?
Question: How do you fit a curve to points on a plane if they aren't single valued?
对于所示的例子,如何拟合曲线(像黑色一样)到嘈杂的蓝色数据?它类似于样条曲线平滑,但我不知道数据的顺序。
For the example shown, how would one fit a curve (like the black one) to the noisy blue data? It's similar to spline smoothing, but I don't know the order of the data.
Matlab是首选,但伪代码很好。或指向这个问题的正确术语的指针会很棒。
Matlab would be preferred, but pseudocode is fine. Or a pointer to what the correct terminology for this problem is would be great.
谢谢
推荐答案查看本文:通过多项式参数保持形状的最小二乘逼近样条曲线,它似乎呈现 a 解决方案。另外,请参阅最后的参考书目。
Check this article: Shape-preserving least-squares approximation by polynomial parametric spline curves, it seems to present a solution. Also, see the bibliography at the end.
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曲线拟合平面上未分类的点
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