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Zero
# Copyright (c) OpenMMLab. All rights reserved. | |
from typing import Dict, Tuple | |
import numpy as np | |
def camera_to_image_coord(root_index: int, kpts_3d_cam: np.ndarray, | |
camera_param: Dict) -> Tuple[np.ndarray, np.ndarray]: | |
"""Project keypoints from camera space to image space and calculate factor. | |
Args: | |
root_index (int): Index for root keypoint. | |
kpts_3d_cam (np.ndarray): Keypoint coordinates in camera space in | |
shape (N, K, D). | |
camera_param (dict): Parameters for the camera. | |
Returns: | |
tuple: | |
- kpts_3d_image (np.ndarray): Keypoint coordinates in image space in | |
shape (N, K, D). | |
- factor (np.ndarray): The scaling factor that maps keypoints from | |
image space to camera space in shape (N, ). | |
""" | |
root = kpts_3d_cam[..., root_index, :] | |
tl_kpt = root.copy() | |
tl_kpt[..., :2] -= 1.0 | |
br_kpt = root.copy() | |
br_kpt[..., :2] += 1.0 | |
tl_kpt = np.reshape(tl_kpt, (-1, 3)) | |
br_kpt = np.reshape(br_kpt, (-1, 3)) | |
fx, fy = camera_param['f'] / 1000. | |
cx, cy = camera_param['c'] / 1000. | |
tl2d = camera_to_pixel(tl_kpt, fx, fy, cx, cy) | |
br2d = camera_to_pixel(br_kpt, fx, fy, cx, cy) | |
rectangle_3d_size = 2.0 | |
kpts_3d_image = np.zeros_like(kpts_3d_cam) | |
kpts_3d_image[..., :2] = camera_to_pixel(kpts_3d_cam.copy(), fx, fy, cx, | |
cy) | |
ratio = (br2d[..., 0] - tl2d[..., 0] + 0.001) / rectangle_3d_size | |
factor = rectangle_3d_size / (br2d[..., 0] - tl2d[..., 0] + 0.001) | |
kpts_3d_depth = ratio[:, None] * ( | |
kpts_3d_cam[..., 2] - kpts_3d_cam[..., root_index:root_index + 1, 2]) | |
kpts_3d_image[..., 2] = kpts_3d_depth | |
return kpts_3d_image, factor | |
def camera_to_pixel(kpts_3d: np.ndarray, | |
fx: float, | |
fy: float, | |
cx: float, | |
cy: float, | |
shift: bool = False) -> np.ndarray: | |
"""Project keypoints from camera space to image space. | |
Args: | |
kpts_3d (np.ndarray): Keypoint coordinates in camera space. | |
fx (float): x-coordinate of camera's focal length. | |
fy (float): y-coordinate of camera's focal length. | |
cx (float): x-coordinate of image center. | |
cy (float): y-coordinate of image center. | |
shift (bool): Whether to shift the coordinates by 1e-8. | |
Returns: | |
pose_2d (np.ndarray): Projected keypoint coordinates in image space. | |
""" | |
if not shift: | |
pose_2d = kpts_3d[..., :2] / kpts_3d[..., 2:3] | |
else: | |
pose_2d = kpts_3d[..., :2] / (kpts_3d[..., 2:3] + 1e-8) | |
pose_2d[..., 0] *= fx | |
pose_2d[..., 1] *= fy | |
pose_2d[..., 0] += cx | |
pose_2d[..., 1] += cy | |
return pose_2d | |
def pixel_to_camera(kpts_3d: np.ndarray, fx: float, fy: float, cx: float, | |
cy: float) -> np.ndarray: | |
"""Project keypoints from camera space to image space. | |
Args: | |
kpts_3d (np.ndarray): Keypoint coordinates in camera space. | |
fx (float): x-coordinate of camera's focal length. | |
fy (float): y-coordinate of camera's focal length. | |
cx (float): x-coordinate of image center. | |
cy (float): y-coordinate of image center. | |
shift (bool): Whether to shift the coordinates by 1e-8. | |
Returns: | |
pose_2d (np.ndarray): Projected keypoint coordinates in image space. | |
""" | |
pose_2d = kpts_3d.copy() | |
pose_2d[..., 0] -= cx | |
pose_2d[..., 1] -= cy | |
pose_2d[..., 0] /= fx | |
pose_2d[..., 1] /= fy | |
pose_2d[..., 0] *= kpts_3d[..., 2] | |
pose_2d[..., 1] *= kpts_3d[..., 2] | |
return pose_2d | |