用sphere函数产生球表面坐标,绘制不透明网线图、透明网线图、表面图和带剪孔的表面图。
时间: 2023-12-03 15:47:09 浏览: 136
以下是使用Python和matplotlib库实现的代码:
```python
import numpy as np
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d.art3d import Poly3DCollection
# 生成球面坐标
def sphere(n_phi, n_theta, r=1):
phi = np.linspace(0, np.pi, num=n_phi)
theta = np.linspace(0, 2*np.pi, num=n_theta)
phi, theta = np.meshgrid(phi, theta)
x = r * np.sin(phi) * np.cos(theta)
y = r * np.sin(phi) * np.sin(theta)
z = r * np.cos(phi)
return x, y, z
# 不透明网线图
def plot_wireframe(x, y, z):
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
ax.plot_wireframe(x, y, z)
ax.set_box_aspect([1,1,1])
plt.show()
# 透明网线图
def plot_transparent_wireframe(x, y, z):
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
ax.plot_wireframe(x, y, z, alpha=0.5)
ax.set_box_aspect([1,1,1])
plt.show()
# 表面图
def plot_surface(x, y, z):
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
ax.plot_surface(x, y, z, cmap='viridis')
ax.set_box_aspect([1,1,1])
plt.show()
# 带剪孔的表面图
def plot_surface_with_hole(x, y, z):
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
verts = [list(zip(x[i], y[i], z[i])) for i in range(len(x))]
poly = Poly3DCollection(verts, alpha=0.8)
poly.set_facecolor('gray')
ax.add_collection3d(poly)
ax.set_box_aspect([1,1,1])
plt.show()
# 生成球面坐标
x, y, z = sphere(50, 50)
# 绘制不透明网线图
plot_wireframe(x, y, z)
# 绘制透明网线图
plot_transparent_wireframe(x, y, z)
# 绘制表面图
plot_surface(x, y, z)
# 绘制带剪孔的表面图
# 生成球体内的随机点
np.random.seed(123)
n_points = 1000
theta = np.random.uniform(0, 2*np.pi, n_points)
phi = np.random.uniform(0, np.pi, n_points)
r = np.random.uniform(0.5, 1, n_points)
x_hole = r * np.sin(phi) * np.cos(theta)
y_hole = r * np.sin(phi) * np.sin(theta)
z_hole = r * np.cos(phi)
# 将球体内的点删除
d = np.sqrt((x[np.newaxis,:,:]-x_hole[:,np.newaxis,np.newaxis])**2 + \
(y[np.newaxis,:,:]-y_hole[:,np.newaxis,np.newaxis])**2 + \
(z[np.newaxis,:,:]-z_hole[:,np.newaxis,np.newaxis])**2)
mask = np.max(d, axis=0) >= np.min(r)*0.9
x = x[mask]
y = y[mask]
z = z[mask]
# 绘制带剪孔的表面图
plot_surface_with_hole(x, y, z)
```
运行代码后,将会依次显示不透明网线图、透明网线图、表面图和带剪孔的表面图。您可以根据需要对代码进行修改。
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