python实现无人机航拍图片像素坐标转世界坐标的示例代码

import numpy as np
import cv2
# 畸变校正
def undistort_pixel(pixel_x, pixel_y, sym_dist, dec_dist):
    k0,k1,k2,k3=sym_dist
    # k1, k2, p1, p2, k3 = sym_dist
    p1,p2,p3=dec_dist
    fx = focal_length_mm
    fy = focal_length_mm
    cx = xpoff_px
    cy = ypoff_px
    distCoeffs = np.array([k1, k2, p1, p2,k3])
    cameraMatrix = np.array([[fx, 0, cx], [0, fy, cy], [0, 0, 1]])
    distorted_points = np.array([[pixel_x, pixel_y]], dtype=np.float32)
    undistorted_points = cv2.undistortPoints(distorted_points, cameraMatrix, distCoeffs)
    #################################################### 4\对图像去畸变
    img = cv2.imread('./images/100_0004_0001.JPG')
    img_undistored = cv2.undistort(img, cameraMatrix, distCoeffs)
    cv2.imwrite('./images/100_0004_00011.JPG', img_undistored)
    return undistorted_points[0][0][0], undistorted_points[0][0][1]
# 相机坐标转世界坐标
def camera_to_world_coordinates(cam_coords, pos):
    # 获取相机到世界的转换参数
    pos_x, pos_y, pos_z, roll, pitch, yaw = pos
    # 将角度转换为弧度
    roll = np.radians(roll)
    pitch = np.radians(pitch)
    yaw = np.radians(yaw)
    # 计算旋转矩阵
    R_roll = np.array([
        [1, 0, 0],
        [0, np.cos(roll), -np.sin(roll)],
        [0, np.sin(roll), np.cos(roll)]
    ])
    R_pitch = np.array([
        [np.cos(pitch), 0, np.sin(pitch)],
        [0, 1, 0],
        [-np.sin(pitch), 0, np.cos(pitch)]
    ])
    R_yaw = np.array([
        [np.cos(yaw), -np.sin(yaw), 0],
        [np.sin(yaw), np.cos(yaw), 0],
        [0, 0, 1]
    ])
    R = R_yaw @ R_pitch @ R_roll
    # 相机坐标转换到世界坐标
    cam_coords_homogeneous = np.array([cam_coords[0], cam_coords[1], -H, 1])
    world_coords = R @ cam_coords_homogeneous[:3] + np.array([pos_x, pos_y, pos_z])
    return world_coords
if __name__ == "__main__":
    ####################################################基本参数
    # 传感器宽度和高度（毫米）
    sensor_width_mm = 12.83331744000000007588
    sensor_height_mm = 8.55554496000000064271
    # 图像宽度和高度（像素）
    image_width_px = 5472
    image_height_px = 3648
    # 焦距（毫米）
    focal_length_mm = 8.69244671863242679422
    # 焦距（米）
    focal_length_m = 8.69244671863242679422/1000
    # 相对航高（米）
    H=86.93
    #像主点坐标 （像素）
    xpoff_px=20.88973563438230485190
    ypoff_px=50.51977022866981315019
    #################################################### 1\计算空间分辨率
    # 传感器尺寸转换为米
    sensor_width_m = sensor_width_mm / 1000
    sensor_height_m = sensor_height_mm / 1000
    # 计算水平和垂直的 GSD
    GSD_x = (sensor_width_m/image_width_px) * (H / focal_length_m )
    GSD_y = (sensor_height_m /image_height_px) * (H / focal_length_m)
    # 水平和垂直方向的 GSD
    print("水平方向的 GSD:", GSD_x, "米/像素")
    print("垂直方向的 GSD:", GSD_y, "米/像素")
    #################################################### 2\给定像素坐标,计算相机坐标
    # 像素坐标
    oripixel_x = image_width_px
    oripixel_y = image_height_px
    # oripixel_x = image_width_px/2
    # oripixel_y = image_height_px/2
    # oripixel_x = 0
    # oripixel_y = 0
    pixel_x=oripixel_x-xpoff_px-image_width_px/2
    pixel_y=oripixel_y-ypoff_px-image_height_px/2
    # 计算相机坐标（假设无畸变）
    camera_x = pixel_x * GSD_x
    camera_y = pixel_y * GSD_y
    print("像素坐标 (", oripixel_x, ",", oripixel_y, ") 对应的相机坐标 (x, y): (", camera_x, "米, ", camera_y, "米)")
    #################################################### 3\计算畸变后坐标
    # 对称畸变系数
    sym_dist = [0, -0.00043396118129128110, 0.00000262222711982075, -0.00000001047488706013]
    # 径向畸变
    dec_dist = [0.00000205885592671873, -0.00000321714140091248, 0]
    # 进行畸变校正
    undistorted_camera_x, undistorted_camera_y = undistort_pixel(pixel_x, pixel_y, sym_dist, dec_dist)
    print("畸变校正后像素坐标 (", oripixel_x, ",", oripixel_y, ") 对应的相机坐标 (x, y): (", undistorted_camera_x, "米, ", undistorted_camera_y, "米)")
    #################################################### 4\计算世界坐标
    # POS数据
    pos = [433452.054688, 2881728.519704, 183.789696, 0.648220, -0.226028, 14.490357]
    # 计算世界坐标
    world_coords = camera_to_world_coordinates((undistorted_camera_x, undistorted_camera_y), pos)
    print("旋转平移变换后像素坐标 (", oripixel_x, ",", oripixel_y, ") 对应的世界坐标 (x, y): (", world_coords[0], "米, ", world_coords[1], "米)")