如何从一个二维图像获得真实世界的距离使用棋盘作为参考

在检查了几段代码之后,我拍了几张照片,找到了棋盘上的角点,并用它们得到了相机矩阵、失真系数、旋转和平移向量。现在,有人能告诉我需要哪个python opencv函数来计算现实世界中与2D图像的距离吗?项目点?例如,使用棋盘作为参考(见图),如果瓷砖尺寸为5cm,则4块瓷砖的距离应为20cm。我看到了一些函数,如projectPoints,findHomography,solvePnP,但我不知道我需要哪一个来解决我的问题,并得到相机世界和棋盘世界之间的转换矩阵。 1台摄像机,所有情况下摄像机的位置相同,但不完全在棋盘上,棋盘放在平面物体(桌子)上

# prepare object points, like (0,0,0), (1,0,0), (2,0,0) ....,(6,5,0)
    objp = np.zeros((nx * ny, 3), np.float32)
    objp[:, :2] = np.mgrid[0:nx, 0:ny].T.reshape(-1, 2)

    # Arrays to store object points and image points from all the images.
    objpoints = []  # 3d points in real world space
    imgpoints = []  # 2d points in image plane.

    # Make a list of calibration images
    images = glob.glob(path.join(calib_images_dir, 'calibration*.jpg'))
    print(images)
    # Step through the list and search for chessboard corners
    for filename in images:

        img = cv2.imread(filename)

        imgScale = 0.5
        newX,newY = img.shape[1]*imgScale, img.shape[0]*imgScale
        res = cv2.resize(img,(int(newX),int(newY)))

        gray = cv2.cvtColor(res, cv2.COLOR_BGR2GRAY)

        # Find the chessboard corners
        pattern_found, corners = cv2.findChessboardCorners(gray, (nx,ny), None)

        # If found, add object points, image points (after refining them)
        if pattern_found is True:
            objpoints.append(objp)

            # Increase accuracy using subpixel corner refinement
            cv2.cornerSubPix(gray,corners,(5,5),(-1,-1),(cv2.TERM_CRITERIA_EPS + cv2.TERM_CRITERIA_MAX_ITER, 30, 0.1 ))
            imgpoints.append(corners)

            if verbose:
                # Draw and display the corners
                draw = cv2.drawChessboardCorners(res, (nx, ny), corners, pattern_found)
                cv2.imshow('img',draw)
                cv2.waitKey(500)

    if verbose:
        cv2.destroyAllWindows()

    #Now we have our object points and image points, we are ready to go for calibration
    # Get the camera matrix, distortion coefficients, rotation and translation vectors
    ret, mtx, dist, rvecs, tvecs = cv2.calibrateCamera(objpoints, imgpoints, gray.shape[::-1], None, None)
    print(mtx)
    print(dist)
    print('rvecs:', type(rvecs),' ',len(rvecs),' ',rvecs)
    print('tvecs:', type(tvecs),' ',len(tvecs),' ',tvecs)

    mean_error = 0
    for i in range(len(objpoints)):
        imgpoints2, _ = cv2.projectPoints(objpoints[i], rvecs[i], tvecs[i], mtx, dist)
        error = cv2.norm(imgpoints[i],imgpoints2, cv2.NORM_L2)/len(imgpoints2)
        mean_error += error

    print("total error: ", mean_error/len(objpoints))


    imagePoints,jacobian = cv2.projectPoints(objpoints[0], rvecs[0], tvecs[0], mtx, dist)
    print('Image points: ',imagePoints)