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# ----------------------------------------------------------------------------
# - Open3D: www.open3d.org -
# ----------------------------------------------------------------------------
# Copyright (c) 2018-2024 www.open3d.org
# SPDX-License-Identifier: MIT
# ----------------------------------------------------------------------------
"""Example script to run Doppler ICP point cloud registration.
This script runs Doppler ICP and point-to-plane ICP on DemoDopplerICPSequence.
This is the implementation of the following paper:
B. Hexsel, H. Vhavle, Y. Chen,
DICP: Doppler Iterative Closest Point Algorithm, RSS 2022.
Usage:
python doppler_icp_registration.py [-h] \
--source SOURCE --target TARGET [--device {cpu,cuda}]
"""
import argparse
import json
import os
import numpy as np
import open3d as o3d
import open3d.t.pipelines.registration as o3d_reg
from pyquaternion import Quaternion
def translation_quaternion_to_transform(translation,
quaternion,
inverse=False,
quat_xyzw=False):
"""Converts translation and WXYZ quaternion to a transformation matrix.
Args:
translation: (3,) ndarray representing the translation vector.
quaternion: (4,) ndarray representing the quaternion.
inverse: If True, returns the inverse transformation.
quat_xyzw: If True, this indicates that quaternion is in XYZW format.
Returns:
(4, 4) ndarray representing the transformation matrix.
"""
if quat_xyzw:
quaternion = np.roll(quaternion, 1)
transform = Quaternion(quaternion).transformation_matrix # [w, x, y, z]
transform[:3, -1] = translation # [x, y, z]
return np.linalg.inv(transform) if inverse else transform
def load_tum_file(filename):
"""Loads poses in TUM RGBD format: [timestamp, x, y, z, qx, qy, qz, qw].
Args:
filename (string): Path to the TUM poses file.
Returns:
A tuple containing an array of 4x4 poses and timestamps.
"""
# Load the TUM text file.
data = np.loadtxt(filename, delimiter=' ')
print('Loaded %d poses from %s (%.2f secs)' %
(len(data), os.path.basename(filename), data[-1][0] - data[0][0]))
# Parse timestamps and poses.
timestamps = data[:, 0]
poses = np.array([
translation_quaternion_to_transform(tq[:3], tq[3:], quat_xyzw=True)
for tq in data[:, 1:]
])
return poses, timestamps
def get_calibration(demo_sequence):
"""Returns the vehicle to sensor calibration transformation and the time
period (in secs) between sequential point cloud scans.
Args:
demo_sequence (DemoDopplerICPSequence): Doppler ICP dataset.
Returns:
A tuple of 4x4 array representing the transform, and the period.
"""
with open(demo_sequence.calibration_path) as f:
data = json.load(f)
transform_vehicle_to_sensor = np.array(
data['transform_vehicle_to_sensor']).reshape(4, 4)
period = data['period']
return transform_vehicle_to_sensor, period
def get_trajectory(demo_sequence):
"""Returns the ground truth trajectory of the dataset.
Args:
demo_sequence (DemoDopplerICPSequence): Doppler ICP dataset.
Returns:
An array of 4x4 poses for this sequence.
"""
return load_tum_file(demo_sequence.trajectory_path)[0]
def get_ground_truth_pose(demo_sequence, source_idx, target_idx):
"""Returns the ground truth poses from the dataset.
Args:
demo_sequence (DemoDopplerICPSequence): Doppler ICP dataset.
source_idx (int): Index of the source point cloud pose.
target_idx (int): Index of the target point cloud pose.
Returns:
4x4 array representing the transformation between target and source.
"""
poses = get_trajectory(demo_sequence)
return np.linalg.inv(poses[target_idx]) @ poses[source_idx]
def run_doppler_icp(args):
"""Runs Doppler ICP on a given pair of point clouds.
Args:
args: Command line arguments.
"""
# Setup data type and device.
dtype = o3d.core.float32
device = o3d.core.Device('CUDA:0' if args.device == 'cuda' else 'CPU:0')
# Load the point clouds.
demo_sequence = o3d.data.DemoDopplerICPSequence()
source = o3d.t.io.read_point_cloud(demo_sequence.paths[args.source])
target = o3d.t.io.read_point_cloud(demo_sequence.paths[args.target])
# Load the calibration parameters.
transform_vehicle_to_sensor, period = get_calibration(demo_sequence)
# Downsample the pointcloud.
source_in_S = source.uniform_down_sample(5)
target_in_S = target.uniform_down_sample(5)
# Transform the Open3D point cloud from sensor to vehicle frame.
source_in_V = source_in_S.to(device).transform(transform_vehicle_to_sensor)
target_in_V = target_in_S.to(device).transform(transform_vehicle_to_sensor)
# Move tensor to device.
init_transform = o3d.core.Tensor(np.eye(4), device=device)
transform_vehicle_to_sensor = o3d.core.Tensor(transform_vehicle_to_sensor,
device=device)
# Compute normals for target.
target_in_V.estimate_normals(radius=10.0, max_nn=30)
# Compute direction vectors on source point cloud frame in sensor frame.
directions = source_in_S.point.positions.numpy()
norms = np.tile(np.linalg.norm(directions, axis=1), (3, 1)).T
directions = directions / norms
source_in_V.point['directions'] = o3d.core.Tensor(directions, dtype, device)
# Setup robust kernels.
kernel = o3d_reg.robust_kernel.RobustKernel(o3d_reg.robust_kernel.TukeyLoss,
scaling_parameter=0.5)
# Setup convergence criteria.
criteria = o3d_reg.ICPConvergenceCriteria(relative_fitness=1e-6,
relative_rmse=1e-6,
max_iteration=200)
# Setup transformation estimator.
estimator_p2l = o3d_reg.TransformationEstimationPointToPlane(kernel)
estimator_dicp = o3d_reg.TransformationEstimationForDopplerICP(
period=period * (args.target - args.source),
lambda_doppler=0.01,
reject_dynamic_outliers=False,
doppler_outlier_threshold=2.0,
outlier_rejection_min_iteration=2,
geometric_robust_loss_min_iteration=0,
doppler_robust_loss_min_iteration=2,
goemetric_kernel=kernel,
doppler_kernel=kernel,
transform_vehicle_to_sensor=transform_vehicle_to_sensor)
# Run Doppler ICP and point-to-plane ICP registration for comparison.
max_neighbor_distance = 0.3
results = [
o3d_reg.icp(source_in_V, target_in_V, max_neighbor_distance,
init_transform, estimator, criteria)
for estimator in [estimator_p2l, estimator_dicp]
]
# Display the poses.
np.set_printoptions(suppress=True, precision=4)
print('Estimated pose from Point-to-Plane ICP [%s iterations]:' %
results[0].num_iterations)
print(results[0].transformation.numpy())
print('\nEstimated pose from Doppler ICP [%s iterations]:' %
results[1].num_iterations)
print(results[1].transformation.numpy())
print('\nGround truth pose:')
print(get_ground_truth_pose(demo_sequence, args.source, args.target))
def parse_args():
"""Parses the command line arguments.
Returns:
The parsed command line arguments.
"""
parser = argparse.ArgumentParser()
parser.add_argument('--source',
'-s',
type=int,
required=True,
help='Source point cloud index')
parser.add_argument('--target',
'-t',
type=int,
required=True,
help='Target point cloud index')
parser.add_argument('--device',
'-d',
default='cpu',
help='Device backend for the tensor',
choices=['cpu', 'cuda'])
return parser.parse_args()
if __name__ == '__main__':
args = parse_args()
run_doppler_icp(args)
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