C++ 在OpenCV中将多项式等长分割

我有一个三阶多项式方程和位于该多边形上的两个点。我还可以用opencv arcLength函数计算这些点之间的多边形长度

如何得到这些均匀分布的点，这些点将多边形分成N个长度相同的部分

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让我们看看这是否有帮助。具体如下：

 f = polynomial
 f' = derivative of f
 N = Number of subdivisions
 D = length of each subdivisions
 a = x coordinate of f for the first end of the curve.
 M = max of f' in the interval [a, b] where the curve is to be drawn.
 k = an integer such that an error of M/k would be negligible

算法

• 对于每个

  1
  sum(j) = sum from i=1 to n(j) of sqrt(1 + f'(a + (i-1)/k)^2)/k
  
  1/k * sqrt(1 + f'(a + (i-1)/k)^2)