对一系列点重新采样
我有一个 3d 点数组（想象一下球的轨迹），有 X 个样本。
现在，我想对这些点重新采样，以便我有一个新数组，其中包含 y 个样本的位置。
y 可以大于或小于 x，但不能小于 1。始终至少有 1 个样本。
将原始数组重新采样为新数组的算法会是什么样子？谢谢！
i have an array of points in 3d (imagine the trajectory of a ball) with X samples.
now, i want to resample these points so that i have a new array with positions with y samples.
y can be bigger or smaller than x but not smaller than 1. there will always be at least 1 sample.
how would an algorithm look like to resample the original array into a new one? thanks!
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基本思想是获取 X 点并将它们绘制在图表上。然后使用一些合理的插值函数在它们之间进行插值。您可以使用线性插值、二次 B 样条等。通常，除非您有特定理由相信这些点代表高阶函数（例如 N4），否则您希望坚持相对低阶插值函数。
完成此操作后，图表上（基本上）就会有一条连续的线。要获得 Y 点，您只需选择沿图形 X 轴等距分布的 Y 点。
The basic idea is to take your X points and plot them on a graph. Then interpolate between them using some reasonable interpolation function. You could use linear interpolation, quadric B-splines, etc. Generally, unless you have a specific reason to believe the points represent a higher-order function (e.g. N4) you want to stick to a relatively low-order interpolation function.
Once you've done that, you have (essentially) a continuous line on your graph. To get your Y points, you just select Y points equally spaced along the graph's X axis.
您必须根据原始x 样本选择某种插值/近似函数（例如某种样条曲线）。然后，您可以在 y（如果需要，等距）点评估此函数以获得新样本。
对于数学计算，您可以使用有关样条插值的维基百科文章作为起点。
You have to select some kind of interpolation/approximation function based on the original x samples (e.g. some kind of spline). Then you can evaluate this function at y (equally spaced, if wanted) points to get your new samples.
For the math, you can use the Wikipedia article about spline interpolation as starting point.