画一条连接两个点而不是一条直线的曲线

问题描述

我想做这样的事情:

I want to do something like this:

我有要点，但不知道如何绘制曲线而不是直线.

I have the points but don't know how to plot the curves instead of straight lines.

谢谢.

推荐答案

对于对这个问题感兴趣的人，我按照 Matthew 的建议提出了这个实现:

For people interested in this question, I followed Matthew's suggestion and came up with this implementation:

def hanging_line(point1, point2):
    import numpy as np

    a = (point2[1] - point1[1])/(np.cosh(point2[0]) - np.cosh(point1[0]))
    b = point1[1] - a*np.cosh(point1[0])
    x = np.linspace(point1[0], point2[0], 100)
    y = a*np.cosh(x) + b

    return (x,y)

结果如下:

import matplotlib.pyplot as plt

point1 = [0,1]
point2 = [1,2]
x,y = hanging_line(point1, point2)

plt.plot(point1[0], point1[1], 'o')
plt.plot(point2[0], point2[1], 'o')
plt.plot(x,y)

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