将切线添加到曲线，并将法线添加到切线。OpenCV Python

import cv2
import numpy as np

# 生成曲线数据
x = np.linspace(0, 2*np.pi, 100)
y = np.sin(x)

# 计算曲线上每个点的切线方向
dx = np.gradient(x)
dy = np.gradient(y)
tangent_angles = np.arctan2(dy, dx)

# 计算切线的终点坐标
tangent_length = 0.2
endpoints_x = x + tangent_length * np.cos(tangent_angles)
endpoints_y = y + tangent_length * np.sin(tangent_angles)

# 计算法线的终点坐标
normal_angles = tangent_angles + np.pi/2
endpoints_normal_x = x + tangent_length * np.cos(normal_angles)
endpoints_normal_y = y + tangent_length * np.sin(normal_angles)

# 绘制曲线、切线和法线
image = np.zeros((400, 400), dtype=np.uint8)
curve_points = np.column_stack((x, y)).astype(np.int32)
tangent_points = np.column_stack((endpoints_x, endpoints_y)).astype(np.int32)
normal_points = np.column_stack((endpoints_normal_x, endpoints_normal_y)).astype(np.int32)
cv2.polylines(image, [curve_points], isClosed=False, color=255)
cv2.polylines(image, [tangent_points], isClosed=False, color=128)
cv2.polylines(image, [normal_points], isClosed=False, color=128)

# 显示结果
cv2.imshow("Curve with Tangent and Normal", image)
cv2.waitKey(0)
cv2.destroyAllWindows()