我使用warpPerspective在opencv中扭曲了一个图像，但现在我想将原始图像的坐标与新扭曲图像中的坐标进行匹配。多么?

import cv2
import numpy as np

# 加载原始图像
original_image = cv2.imread('original_image.jpg')

# 定义原始图像中的四个角点坐标
original_points = np.float32([[0, 0], [original_image.shape[1], 0], [0, original_image.shape[0]], [original_image.shape[1], original_image.shape[0]]])

# 定义扭曲后的图像中的四个角点坐标
distorted_points = np.float32([[100, 100], [300, 200], [200, 400], [400, 400]])

# 计算单应性矩阵
homography_matrix, _ = cv2.findHomography(original_points, distorted_points)

# 扭曲图像
distorted_image = cv2.warpPerspective(original_image, homography_matrix, (original_image.shape[1], original_image.shape[0]))

# 定义需要匹配的坐标
original_coordinates = np.float32([[50, 50], [100, 100], [200, 200]])

# 将原始图像中的坐标映射到扭曲图像中的坐标
distorted_coordinates = cv2.perspectiveTransform(original_coordinates.reshape(-1, 1, 2), homography_matrix)

# 打印匹配结果
for i in range(len(original_coordinates)):
    print("原始坐标：", original_coordinates[i])
    print("扭曲后坐标：", distorted_coordinates[i][0])

# 显示原始图像和扭曲图像
cv2.imshow('Original Image', original_image)
cv2.imshow('Distorted Image', distorted_image)
cv2.waitKey(0)
cv2.destroyAllWindows()