python贝塞尔曲线绘图
时间: 2023-11-05 13:05:44 浏览: 82
要在Python中绘制贝塞尔曲线,可以使用matplotlib库中的Bezier曲线函数。具体步骤如下:
1. 导入matplotlib库和numpy库
```python
import matplotlib.pyplot as plt
import numpy as np
```
2. 定义控制点
```python
p0 = [0, 0]
p1 = [1, 3]
p2 = [2, 1]
p3 = [3, 2]
```
3. 定义Bezier曲线函数
```python
def bezier(t, p0, p1, p2, p3):
return (1-t)**3*p0 + 3*t*(1-t)**2*p1 + 3*t**2*(1-t)*p2 + t**3*p3
```
4. 生成曲线上的点
```python
t = np.linspace(0, 1, 100)
x = bezier(t, p0[0], p1[0], p2[0], p3[0])
y = bezier(t, p0[1], p1[1], p2[1], p3[1])
```
5. 绘制曲线
```python
plt.plot(x, y)
plt.show()
```
完整代码如下:
```python
import matplotlib.pyplot as plt
import numpy as np
p0 = [0, 0]
p1 = [1, 3]
p2 = [2, 1]
p3 = [3, 2]
def bezier(t, p0, p1, p2, p3):
return (1-t)**3*p0 + 3*t*(1-t)**2*p1 + 3*t**2*(1-t)*p2 + t**3*p3
t = np.linspace(0, 1, 100)
x = bezier(t, p0[0], p1[0], p2[0], p3[0])
y = bezier(t, p0[1], p1[1], p2[1], p3[1])
plt.plot(x, y)
plt.show()
```
阅读全文