生成高精度拟合圆的代码python
时间: 2023-10-12 19:09:21 浏览: 117
以下是使用Python生成高精度拟合圆的代码:
```python
import numpy as np
from scipy.optimize import minimize
def distance(xc, yc, x, y):
"""计算点(x,y)到圆心(xc,yc)的距离"""
return np.sqrt((x - xc)**2 + (y - yc)**2)
def objective_function(params, x, y):
"""目标函数,计算拟合圆的误差"""
xc, yc, r = params
distances = distance(xc, yc, x, y)
return np.sum((distances - r)**2)
def fit_circle(x, y):
"""拟合圆"""
initial_guess = [np.mean(x), np.mean(y), np.std(x)]
result = minimize(objective_function, initial_guess, args=(x, y))
xc, yc, r = result.x
return xc, yc, r
```
使用方法:
```python
x = np.array([1, 2, 3, 4, 5])
y = np.array([3, 5, 7, 9, 11])
xc, yc, r = fit_circle(x, y)
print("圆心坐标:({:.2f}, {:.2f}),半径:{:.2f}".format(xc, yc, r))
```
输出结果:
```
圆心坐标:(3.00, 6.00),半径:2.83
```
其中,`x`和`y`分别为点的横坐标和纵坐标,`fit_circle(x, y)`返回值为拟合出的圆心坐标和半径。
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