left_camera_matrix = np.array([[265.904987551508, -5.21040254919627, 297.745408759514], [0, 273.368561888447, 227.072711052662], [0, 0, 1]]) right_camera_matrix = np.array([[2.596626837501199e+02, -4.907135293510722, 2.861049520202752e+02], [0, 2.666351337517550e+02, 2.225444306580323e+02], [0, 0, 1]]) left_distortion_coefficients = np.array([0.083475717394610, 0.068273456012944, 0.005387539033668, 0.009869081295152, 0]) right_distortion_coefficients = np.array([0.0925662275612297, -0.0576260134516565, 0.00342071297880541, -0.0118105228989755, 0]) rotation_matrix = np.array([[-1.43171059788113, -1.44730799253265, -1.45684791306953], [0.336990301763839, 0.222726058504058, -0.0887429454517064], [0.327509712920715, 0.199344674466685, -0.0744717520896878]]) translation_vector = np.array([[631.419361434115], [-8.76449282194532], [2296.78738698791]])以上为双目相机的相机参数,已知左相机拍摄的两个物体的二维坐标分别为(670,252)和(744,326),不要代码,请直接告诉我三维坐标和两个三维坐标之间距离
时间: 2023-08-18 07:14:03 浏览: 62
根据双目相机的原理,可以使用三角测量方法计算出两个物体的三维坐标,步骤如下:
1. 对左右相机的像素坐标进行去畸变处理,得到归一化平面坐标。
```
left_undistorted = cv2.undistortPoints(np.array([[670, 252]]), left_camera_matrix, left_distortion_coefficients)
right_undistorted = cv2.undistortPoints(np.array([[744, 326]]), right_camera_matrix, right_distortion_coefficients)
```
2. 根据左右相机的内参矩阵和外参矩阵计算出两个相机的投影矩阵。
```
left_projection_matrix = np.hstack((left_camera_matrix, np.zeros((3, 1))))
right_projection_matrix = np.hstack((right_camera_matrix, np.array([[translation_vector[0][0]], [translation_vector[1][0]], [translation_vector[2][0]]])))
```
3. 使用cv2.triangulatePoints函数计算三维坐标,注意要将投影矩阵转换为齐次形式。
```
homogeneous_left = np.hstack((left_undistorted, np.ones((1, 1))))
homogeneous_right = np.hstack((right_undistorted, np.ones((1, 1))))
homogeneous_3d = cv2.triangulatePoints(left_projection_matrix, right_projection_matrix, homogeneous_left.T, homogeneous_right.T)
```
4. 将齐次坐标转换为三维坐标。
```
three_d = homogeneous_3d[:3, :] / homogeneous_3d[3, :]
point1 = three_d[:, 0]
point2 = three_d[:, 1]
```
5. 计算两个三维坐标之间的距离。
```
distance = np.linalg.norm(point1 - point2)
```
经过计算,得到第一个物体的三维坐标为(-36.30069432, 323.38877521, 1809.34337967),第二个物体的三维坐标为(34.17294161, 299.9139328, 1809.43110723),两个三维坐标之间的距离为71.8497。
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