代码示例:
import numpy as np
# 计算向量叉积
def cross_product(v1, v2):
return np.cross(v1, v2)
# 计算两条线段所在平面上的所有点
def calc_points_on_plane(p, v1, v2, len1, len2):
points = []
for i in range(len1):
for j in range(len2):
point = p + v1 * i + v2 * j
points.append(point)
return points
# 计算两个平面的交点
def calc_intersection_point(p1, n1, p2, n2):
d = np.dot(n1, n2)
if abs(d) < 1e-6:
return None
t = np.dot(n2, p1 - p2) / d
point = p1 + n1 * t
return point
# 计算点到线段的距离
def calc_distance(point, p1, p2):
v1 = point - p1
v2 = point - p2
if np.dot(v1, v2) < 0:
return np.linalg.norm(np.cross(v1, v2)) / np.linalg.norm(p2 - p1)
else:
return min(np.linalg.norm(v1), np.linalg.norm(v2))
# 计算最近的两个点
def calc_closest_points(p1, v1, len1, p2, v2, len2):
n1 = cross_product(v1,