openpilot is an open source driver assistance system. openpilot performs the functions of Automated Lane Centering and Adaptive Cruise Control for over 200 supported car makes and models.
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import itertools
import numpy as np
from dataclasses import dataclass
import openpilot.common.transformations.orientation as orient
## -- hardcoded hardware params --
@dataclass(frozen=True)
class CameraConfig:
width: int
height: int
focal_length: float
@property
def intrinsics(self):
# aka 'K' aka camera_frame_from_view_frame
return np.array([
[self.focal_length, 0.0, float(self.width)/2],
[0.0, self.focal_length, float(self.height)/2],
[0.0, 0.0, 1.0]
])
@property
def intrinsics_inv(self):
# aka 'K_inv' aka view_frame_from_camera_frame
return np.linalg.inv(self.intrinsics)
@dataclass(frozen=True)
class DeviceCameraConfig:
fcam: CameraConfig
dcam: CameraConfig
ecam: CameraConfig
ar_ox_fisheye = CameraConfig(1928, 1208, 567.0) # focal length probably wrong? magnification is not consistent across frame
ar_ox_config = DeviceCameraConfig(CameraConfig(1928, 1208, 2648.0), ar_ox_fisheye, ar_ox_fisheye)
os_fisheye = CameraConfig(2688, 1520, 567.0 / 2 * 3)
os_config = DeviceCameraConfig(CameraConfig(2688, 1520, 2648.0 * 2 / 3), os_fisheye, os_fisheye)
DEVICE_CAMERAS = {
# A "device camera" is defined by a device type and sensor
# sensor type was never set on eon/neo/two
("neo", "unknown"): DeviceCameraConfig(CameraConfig(1164, 874, 910.0), CameraConfig(816, 612, 650.0), CameraConfig(0, 0, 0.)),
# unknown here is AR0231, field was added with OX03C10 support
("tici", "unknown"): ar_ox_config,
# before deviceState.deviceType was set, assume tici AR config
("unknown", "ar0231"): ar_ox_config,
("unknown", "ox03c10"): ar_ox_config,
# simulator (emulates a tici)
("pc", "unknown"): ar_ox_config,
}
prods = itertools.product(('tici', 'tizi', 'mici'), (('ar0231', ar_ox_config), ('ox03c10', ar_ox_config), ('os04c10', os_config)))
DEVICE_CAMERAS.update({(d, c[0]): c[1] for d, c in prods})
# device/mesh : x->forward, y-> right, z->down
# view : x->right, y->down, z->forward
device_frame_from_view_frame = np.array([
[ 0., 0., 1.],
[ 1., 0., 0.],
[ 0., 1., 0.]
])
view_frame_from_device_frame = device_frame_from_view_frame.T
# aka 'extrinsic_matrix'
# road : x->forward, y -> left, z->up
def get_view_frame_from_road_frame(roll, pitch, yaw, height):
device_from_road = orient.rot_from_euler([roll, pitch, yaw]).dot(np.diag([1, -1, -1]))
view_from_road = view_frame_from_device_frame.dot(device_from_road)
return np.hstack((view_from_road, [[0], [height], [0]]))
# aka 'extrinsic_matrix'
def get_view_frame_from_calib_frame(roll, pitch, yaw, height):
device_from_calib= orient.rot_from_euler([roll, pitch, yaw])
view_from_calib = view_frame_from_device_frame.dot(device_from_calib)
return np.hstack((view_from_calib, [[0], [height], [0]]))
def vp_from_ke(m):
"""
Computes the vanishing point from the product of the intrinsic and extrinsic
matrices C = KE.
The vanishing point is defined as lim x->infinity C (x, 0, 0, 1).T
"""
return (m[0, 0]/m[2, 0], m[1, 0]/m[2, 0])
def roll_from_ke(m):
# note: different from calibration.h/RollAnglefromKE: i think that one's just wrong
return np.arctan2(-(m[1, 0] - m[1, 1] * m[2, 0] / m[2, 1]),
-(m[0, 0] - m[0, 1] * m[2, 0] / m[2, 1]))
def normalize(img_pts, intrinsics):
# normalizes image coordinates
# accepts single pt or array of pts
intrinsics_inv = np.linalg.inv(intrinsics)
img_pts = np.array(img_pts)
input_shape = img_pts.shape
img_pts = np.atleast_2d(img_pts)
img_pts = np.hstack((img_pts, np.ones((img_pts.shape[0], 1))))
img_pts_normalized = img_pts.dot(intrinsics_inv.T)
img_pts_normalized[(img_pts < 0).any(axis=1)] = np.nan
return img_pts_normalized[:, :2].reshape(input_shape)
def denormalize(img_pts, intrinsics, width=np.inf, height=np.inf):
# denormalizes image coordinates
# accepts single pt or array of pts
img_pts = np.array(img_pts)
input_shape = img_pts.shape
img_pts = np.atleast_2d(img_pts)
img_pts = np.hstack((img_pts, np.ones((img_pts.shape[0], 1), dtype=img_pts.dtype)))
img_pts_denormalized = img_pts.dot(intrinsics.T)
if np.isfinite(width):
img_pts_denormalized[img_pts_denormalized[:, 0] > width] = np.nan
img_pts_denormalized[img_pts_denormalized[:, 0] < 0] = np.nan
if np.isfinite(height):
img_pts_denormalized[img_pts_denormalized[:, 1] > height] = np.nan
img_pts_denormalized[img_pts_denormalized[:, 1] < 0] = np.nan
return img_pts_denormalized[:, :2].reshape(input_shape)
def get_calib_from_vp(vp, intrinsics):
vp_norm = normalize(vp, intrinsics)
yaw_calib = np.arctan(vp_norm[0])
pitch_calib = -np.arctan(vp_norm[1]*np.cos(yaw_calib))
roll_calib = 0
return roll_calib, pitch_calib, yaw_calib
def device_from_ecef(pos_ecef, orientation_ecef, pt_ecef):
# device from ecef frame
# device frame is x -> forward, y-> right, z -> down
# accepts single pt or array of pts
input_shape = pt_ecef.shape
pt_ecef = np.atleast_2d(pt_ecef)
ecef_from_device_rot = orient.rotations_from_quats(orientation_ecef)
device_from_ecef_rot = ecef_from_device_rot.T
pt_ecef_rel = pt_ecef - pos_ecef
pt_device = np.einsum('jk,ik->ij', device_from_ecef_rot, pt_ecef_rel)
return pt_device.reshape(input_shape)
def img_from_device(pt_device):
# img coordinates from pts in device frame
# first transforms to view frame, then to img coords
# accepts single pt or array of pts
input_shape = pt_device.shape
pt_device = np.atleast_2d(pt_device)
pt_view = np.einsum('jk,ik->ij', view_frame_from_device_frame, pt_device)
# This function should never return negative depths
pt_view[pt_view[:, 2] < 0] = np.nan
pt_img = pt_view/pt_view[:, 2:3]
return pt_img.reshape(input_shape)[:, :2]