Description: 几何模型点集
GeometricModels sphere(radius: float, density: float) Description: 生成球体上的点集。
Arguments:
- radius:
- density:
Return: List[Point3]: 球体上的点集。
@staticmethod
def sphere(radius: float, density: float):
"""
生成球体上的点集。
Args:
radius:
density:
Returns:
List[Point3]: 球体上的点集。
"""
area = 4 * np.pi * radius ** 2
num = int(area * density)
phi_list = np.arccos([clamp(-1 + (2.0 * _ - 1.0) / num, -1, 1) for _ in range(num)])
theta_list = np.sqrt(num * np.pi) * phi_list
x_array = radius * np.sin(phi_list) * np.cos(theta_list)
y_array = radius * np.sin(phi_list) * np.sin(theta_list)
z_array = radius * np.cos(phi_list)
return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]