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"""Provides helper methods for loading and parsing KITTI data."""
from collections import namedtuple
import numpy as np
__author__ = "Lee Clement"
__email__ = "lee.clement@robotics.utias.utoronto.ca"
# Per dataformat.txt
OxtsPacket = namedtuple('OxtsPacket',
'lat, lon, alt, ' +
'roll, pitch, yaw, ' +
'vn, ve, vf, vl, vu, ' +
'ax, ay, az, af, al, au, ' +
'wx, wy, wz, wf, wl, wu, ' +
'pos_accuracy, vel_accuracy, ' +
'navstat, numsats, ' +
'posmode, velmode, orimode')
# Bundle into an easy-to-access structure
OxtsData = namedtuple('OxtsData', 'packet, T_w_imu')
def rotx(t):
"""
Rotation about the x-axis
Parameters
----------
t : Float
Theta angle
Returns
-------
matrix : np.Array
Rotation matrix [3,3]
"""
c = np.cos(t)
s = np.sin(t)
return np.array([[1, 0, 0],
[0, c, -s],
[0, s, c]])
def roty(t):
"""
Rotation about the y-axis
Parameters
----------
t : Float
Theta angle
Returns
-------
matrix : np.Array
Rotation matrix [3,3]
"""
c = np.cos(t)
s = np.sin(t)
return np.array([[c, 0, s],
[0, 1, 0],
[-s, 0, c]])
def rotz(t):
"""
Rotation about the z-axis
Parameters
----------
t : Float
Theta angle
Returns
-------
matrix : np.Array
Rotation matrix [3,3]
"""
c = np.cos(t)
s = np.sin(t)
return np.array([[c, -s, 0],
[s, c, 0],
[0, 0, 1]])
def transform_from_rot_trans(R, t):
"""
Transformation matrix from rotation matrix and translation vector.
Parameters
----------
R : np.Array
Rotation matrix [3,3]
t : np.Array
translation vector [3]
Returns
-------
matrix : np.Array
Transformation matrix [4,4]
"""
R = R.reshape(3, 3)
t = t.reshape(3, 1)
return np.vstack((np.hstack([R, t]), [0, 0, 0, 1]))
def read_calib_file(filepath):
"""
Read in a calibration file and parse into a dictionary
Parameters
----------
filepath : String
File path to read from
Returns
-------
calib : Dict
Dictionary with calibration values
"""
data = {}
with open(filepath, 'r') as f:
for line in f.readlines():
key, value = line.split(':', 1)
# The only non-float values in these files are dates, which
# we don't care about anyway
try:
data[key] = np.array([float(x) for x in value.split()])
except ValueError:
pass
return data
def pose_from_oxts_packet(raw_data, scale):
"""
Helper method to compute a SE(3) pose matrix from an OXTS packet
Parameters
----------
raw_data : Dict
Oxts data to read from
scale : Float
Oxts scale
Returns
-------
R : np.Array
Rotation matrix [3,3]
t : np.Array
Translation vector [3]
"""
packet = OxtsPacket(*raw_data)
er = 6378137. # earth radius (approx.) in meters
# Use a Mercator projection to get the translation vector
tx = scale * packet.lon * np.pi * er / 180.
ty = scale * er * \
np.log(np.tan((90. + packet.lat) * np.pi / 360.))
tz = packet.alt
t = np.array([tx, ty, tz])
# Use the Euler angles to get the rotation matrix
Rx = rotx(packet.roll)
Ry = roty(packet.pitch)
Rz = rotz(packet.yaw)
R = Rz.dot(Ry.dot(Rx))
# Combine the translation and rotation into a homogeneous transform
return R, t
def load_oxts_packets_and_poses(oxts_files):
"""
Generator to read OXTS ground truth data.
Poses are given in an East-North-Up coordinate system
whose origin is the first GPS position.
Parameters
----------
oxts_files : list[String]
List of oxts files to read from
Returns
-------
oxts : list[Dict]
List of oxts ground-truth data
"""
# Scale for Mercator projection (from first lat value)
scale = None
# Origin of the global coordinate system (first GPS position)
origin = None
oxts = []
for filename in oxts_files:
with open(filename, 'r') as f:
for line in f.readlines():
line = line.split()
# Last five entries are flags and counts
line[:-5] = [float(x) for x in line[:-5]]
line[-5:] = [int(float(x)) for x in line[-5:]]
packet = OxtsPacket(*line)
if scale is None:
scale = np.cos(packet.lat * np.pi / 180.)
R, t = pose_from_oxts_packet(packet, scale)
if origin is None:
origin = t
T_w_imu = transform_from_rot_trans(R, t - origin)
oxts.append(OxtsData(packet, T_w_imu))
return oxts
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