def pose_transform(frame_pose, relative_pose):
"""
pose is pos + quat: (x, y, z, w)
Args:
frame_pose:
relative_pose:
Returns:
"""
frame_pose = np.array(frame_pose)
relative_pose = np.array(relative_pose)
frame_matrix = np.eye(4)
frame_matrix[:3, :3] = quat2mat(frame_pose[[6, 3, 4, 5]])
frame_matrix[:3, -1] = frame_pose[:3]
relative_matrix = np.eye(4)
relative_matrix[:3, :3] = quat2mat(relative_pose[[6, 3, 4, 5]])
relative_matrix[:3, -1] = relative_pose[:3]
new_pos_matrix = frame_matrix.dot(relative_matrix)
pose = np.zeros(7)
pose[:3] = new_pos_matrix[:3, -1]
pose[3:] = mat2quat(new_pos_matrix[:3, :3])[[1, 2, 3, 0]]
return pose
def test_entrywise_product(self, q1, q2):
# TODO use real matrices
m1 = quat2mat(q1)
m2 = quat2mat(q2)
r1 = w.compile_and_execute(w.entrywise_product, [m1, m2])
r2 = m1 * m2
np.testing.assert_array_almost_equal(r1, r2)
def ori_transform(frame_ori, relative_ori):
frame_matrix = quat2mat(frame_ori[[3, 0, 1, 2]])
relative_matrix = quat2mat(relative_ori[[3, 0, 1, 2]])
new_ori_matrix = frame_matrix.dot(relative_matrix)
return mat2quat(new_ori_matrix)[[1, 2, 3, 0]]
def allocentric_to_egocentric(allo_pose, src_type="mat", dst_type="mat"):
"""Given an allocentric (object-centric) pose, compute new camera-centric
pose Since we do detection on the image plane and our kernels are
2D-translationally invariant, we need to ensure that rendered objects
always look identical, independent of where we render them.
Since objects further away from the optical center undergo skewing,
we try to visually correct by rotating back the amount between
optical center ray and object centroid ray. Another way to solve
that might be translational variance
(https://arxiv.org/abs/1807.03247)
"""
# Compute rotation between ray to object centroid and optical center ray
cam_ray = np.asarray([0, 0, 1.0])
if src_type == "mat":
trans = allo_pose[:3, 3]
elif src_type == "quat":
trans = allo_pose[4:7]
else:
raise ValueError(
"src_type should be mat or quat, got: {}".format(src_type))
obj_ray = trans.copy() / np.linalg.norm(trans)
angle = math.acos(cam_ray.dot(obj_ray))
# Rotate back by that amount
if angle > 0:
if dst_type == "mat":
ego_pose = np.zeros((3, 4), dtype=allo_pose.dtype)
ego_pose[:3, 3] = trans
rot_mat = axangle2mat(axis=np.cross(cam_ray, obj_ray), angle=angle)
if src_type == "mat":
ego_pose[:3, :3] = np.dot(rot_mat, allo_pose[:3, :3])
elif src_type == "quat":
ego_pose[:3, :3] = np.dot(rot_mat, quat2mat(allo_pose[:4]))
elif dst_type == "quat":
ego_pose = np.zeros((7, ), dtype=allo_pose.dtype)
ego_pose[4:7] = trans
rot_q = axangle2quat(np.cross(cam_ray, obj_ray), angle)
if src_type == "quat":
ego_pose[:4] = qmult(rot_q, allo_pose[:4])
elif src_type == "mat":
ego_pose[:4] = qmult(rot_q, mat2quat(allo_pose[:3, :3]))
else:
raise ValueError(
"dst_type should be mat or quat, got: {}".format(dst_type))
else: # allo to ego
if src_type == "mat" and dst_type == "quat":
ego_pose = np.zeros((7, ), dtype=allo_pose.dtype)
ego_pose[:4] = mat2quat(allo_pose[:3, :3])
ego_pose[4:7] = allo_pose[:3, 3]
elif src_type == "quat" and dst_type == "mat":
ego_pose = np.zeros((3, 4), dtype=allo_pose.dtype)
ego_pose[:3, :3] = quat2mat(allo_pose[:4])
ego_pose[:3, 3] = allo_pose[4:7]
else:
ego_pose = allo_pose.copy()
return ego_pose
def _evaluate(self, ind, pose_est, pose_tgt, intrinsic_matrix):
if cfg.TEST.VISUALIZE:
print('iteration %d' % (ind))
# for each object
for i in range(pose_est.shape[0]):
cls = int(pose_est[i, 1])
RT_est = np.zeros((3, 4), dtype=np.float32)
RT_est[:3, :3] = quat2mat(pose_est[i, 2:6])
RT_est[:, 3] = pose_est[i, 6:]
RT_tgt = np.zeros((3, 4), dtype=np.float32)
RT_tgt[:3, :3] = quat2mat(pose_tgt[i, 2:6])
RT_tgt[:, 3] = pose_tgt[i, 6:]
# rotation and translation error
error_rot = re(RT_est[:3, :3], RT_tgt[:3, :3])
error_tran = te(RT_est[:, 3], RT_tgt[:, 3])
if self._classes[cls] == 'eggbox' and error_rot > 90:
RT_z = np.array([[-1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 1, 0]])
RT_est = se3_mul(RT_est, RT_z)
error_rot = re(RT_est[:3, :3], RT_tgt[:3, :3])
error_tran = te(RT_est[:, 3], RT_tgt[:, 3])
if error_rot < 5.0 and error_tran < 0.05:
self._correct_poses[ind, 0] += 1
if cfg.TEST.VISUALIZE:
print('obj %d, rot %.2f, tran %.4f' %
(i + 1, error_rot, error_tran))
# compute 6D pose error
if self._classes[cls] == 'eggbox' or self._classes[cls] == 'glue':
error = adi(RT_est[:3, :3], RT_est[:, 3], RT_tgt[:3, :3],
RT_tgt[:, 3], self._points[cls])
else:
error = add(RT_est[:3, :3], RT_est[:, 3], RT_tgt[:3, :3],
RT_tgt[:, 3], self._points[cls])
threshold = 0.1 * np.linalg.norm(self._extents[cls, :])
if error < threshold:
self._correct_poses[ind, 1] += 1
if cfg.TEST.VISUALIZE:
print('average distance error: {}'.format(error))
# reprojection error
error_reprojection = reproj(intrinsic_matrix, RT_est[:3, :3],
RT_est[:, 3], RT_tgt[:3, :3],
RT_tgt[:, 3], self._points[cls])
if error_reprojection < 5.0:
self._correct_poses[ind, 2] += 1
if cfg.TEST.VISUALIZE:
print('reprojection error: {}'.format(error_reprojection))
def RT_transform_batch_cpu(quaternion_delta, translation, poses_src):
poses_tgt = poses_src.copy()
for i in range(poses_src.shape[0]):
cls = int(poses_src[i, 1]) if quaternion_delta.shape[1] > 4 else 0
if all(poses_src[i, 2:] == 0):
poses_tgt[i, 2:] = 0
else:
poses_tgt[i, 2:6] = mat2quat(
np.dot(quat2mat(quaternion_delta[i, 4 * cls:4 * cls + 4]), quat2mat(poses_src[i, 2:6])))
poses_tgt[i, 6:] = translation[i, 3 * cls:3 * cls + 3]
return poses_tgt
def get_six_dof_act(self, transform_params, heightmap, pose0, pose1):
"""Adjust SE(3) poses via the in-plane SE(2) augmentation transform."""
p1_position, p1_rotation = pose1[0], pose1[1]
p0_position, p0_rotation = pose0[0], pose0[1]
if transform_params is not None:
t_world_center, t_world_centernew = utils.get_se3_from_image_transform(
transform_params[0], transform_params[1], transform_params[2],
heightmap, self.bounds, self.pixel_size)
t_worldnew_world = t_world_centernew @ np.linalg.inv(t_world_center)
else:
t_worldnew_world = np.eye(4)
p1_quat_wxyz = (p1_rotation[3], p1_rotation[0], p1_rotation[1],
p1_rotation[2])
t_world_p1 = quaternions.quat2mat(p1_quat_wxyz)
t_world_p1[0:3, 3] = np.array(p1_position)
t_worldnew_p1 = t_worldnew_world @ t_world_p1
p0_quat_wxyz = (p0_rotation[3], p0_rotation[0], p0_rotation[1],
p0_rotation[2])
t_world_p0 = quaternions.quat2mat(p0_quat_wxyz)
t_world_p0[0:3, 3] = np.array(p0_position)
t_worldnew_p0 = t_worldnew_world @ t_world_p0
t_worldnew_p0theta0 = t_worldnew_p0 * 1.0
t_worldnew_p0theta0[0:3, 0:3] = np.eye(3)
# PLACE FRAME, adjusted for this 0 rotation on pick
t_p0_p0theta0 = np.linalg.inv(t_worldnew_p0) @ t_worldnew_p0theta0
t_worldnew_p1theta0 = t_worldnew_p1 @ t_p0_p0theta0
# convert the above rotation to euler
quatwxyz_worldnew_p1theta0 = quaternions.mat2quat(
t_worldnew_p1theta0)
q = quatwxyz_worldnew_p1theta0
quatxyzw_worldnew_p1theta0 = (q[1], q[2], q[3], q[0])
p1_rotation = quatxyzw_worldnew_p1theta0
p1_euler = utils.quatXYZW_to_eulerXYZ(p1_rotation)
roll_scaled = p1_euler[0] / self.theta_scale
pitch_scaled = p1_euler[1] / self.theta_scale
p1_theta_scaled = -p1_euler[2] / self.theta_scale
x = p1_position[0]
y = p1_position[1]
z = p1_position[2]
return np.array([x, y, p1_theta_scaled, roll_scaled, pitch_scaled, z])
def egocentric_to_allocentric(ego_pose,
src_type="mat",
dst_type="mat",
cam_ray=(0, 0, 1.0)):
# Compute rotation between ray to object centroid and optical center ray
cam_ray = np.asarray(cam_ray)
if src_type == "mat":
trans = ego_pose[:3, 3]
elif src_type == "quat":
trans = ego_pose[4:7]
else:
raise ValueError(
"src_type should be mat or quat, got: {}".format(src_type))
obj_ray = trans.copy() / np.linalg.norm(trans)
angle = math.acos(cam_ray.dot(obj_ray))
# Rotate back by that amount
if angle > 0:
if dst_type == "mat":
allo_pose = np.zeros((3, 4), dtype=ego_pose.dtype)
allo_pose[:3, 3] = trans
rot_mat = axangle2mat(axis=np.cross(cam_ray, obj_ray),
angle=-angle)
if src_type == "mat":
allo_pose[:3, :3] = np.dot(rot_mat, ego_pose[:3, :3])
elif src_type == "quat":
allo_pose[:3, :3] = np.dot(rot_mat, quat2mat(ego_pose[:4]))
elif dst_type == "quat":
allo_pose = np.zeros((7, ), dtype=ego_pose.dtype)
allo_pose[4:7] = trans
rot_q = axangle2quat(np.cross(cam_ray, obj_ray), -angle)
if src_type == "quat":
allo_pose[:4] = qmult(rot_q, ego_pose[:4])
elif src_type == "mat":
allo_pose[:4] = qmult(rot_q, mat2quat(ego_pose[:3, :3]))
else:
raise ValueError(
"dst_type should be mat or quat, got: {}".format(dst_type))
else:
if src_type == "mat" and dst_type == "quat":
allo_pose = np.zeros((7, ), dtype=ego_pose.dtype)
allo_pose[:4] = mat2quat(ego_pose[:3, :3])
allo_pose[4:7] = ego_pose[:3, 3]
elif src_type == "quat" and dst_type == "mat":
allo_pose = np.zeros((3, 4), dtype=ego_pose.dtype)
allo_pose[:3, :3] = quat2mat(ego_pose[:4])
allo_pose[:3, 3] = ego_pose[4:7]
else:
allo_pose = ego_pose.copy()
return allo_pose
def test_quat2mat():
# also tested in roundtrip case below
M = tq.quat2mat([1, 0, 0, 0])
assert_array_almost_equal(M, np.eye(3))
# Non-unit quaternion
M = tq.quat2mat([3, 0, 0, 0])
assert_array_almost_equal(M, np.eye(3))
M = tq.quat2mat([0, 1, 0, 0])
assert_array_almost_equal(M, np.diag([1, -1, -1]))
# Non-unit quaternion, same result as normalized
M = tq.quat2mat([0, 2, 0, 0])
assert_array_almost_equal(M, np.diag([1, -1, -1]))
assert_array_almost_equal(M, np.diag([1, -1, -1]))
M = tq.quat2mat([0, 0, 0, 0])
assert_array_almost_equal(M, np.eye(3))
def test_quat2mat():
# also tested in roundtrip case below
M = tq.quat2mat([1, 0, 0, 0])
assert_array_almost_equal(M, np.eye(3))
# Non-unit quaternion
M = tq.quat2mat([3, 0, 0, 0])
assert_array_almost_equal(M, np.eye(3))
M = tq.quat2mat([0, 1, 0, 0])
assert_array_almost_equal(M, np.diag([1, -1, -1]))
# Non-unit quaternion, same result as normalized
M = tq.quat2mat([0, 2, 0, 0])
assert_array_almost_equal(M, np.diag([1, -1, -1]))
assert_array_almost_equal(M, np.diag([1, -1, -1]))
M = tq.quat2mat([0, 0, 0, 0])
assert_array_almost_equal(M, np.eye(3))
def quat_trans_to_pose_m(quat, trans):
se3_mx = np.zeros((3, 4))
# quat = quat / LA.norm(quat)
R = quat2mat(quat) # normalize internally
se3_mx[:, :3] = R
se3_mx[:, 3] = trans
return se3_mx
def extract_x_y_theta(self,
object_info,
t_worldaug_world=None,
preserve_theta=False):
"""Extract in-plane theta."""
object_position = object_info[0]
object_quat_xyzw = object_info[1]
if t_worldaug_world is not None:
object_quat_wxyz = (object_quat_xyzw[3], object_quat_xyzw[0],
object_quat_xyzw[1], object_quat_xyzw[2])
t_world_object = quaternions.quat2mat(object_quat_wxyz)
#t_world_object[0:3, 3] = np.array(object_position)
p0_position_2d = np.reshape(object_position, (3, 1))
t_world_object = np.append(t_world_object, p0_position_2d, axis=1)
arr = np.transpose(np.array([[0], [0], [0], [1]]))
t_world_object = np.append(t_world_object, arr, axis=0)
t_worldaug_object = t_worldaug_world @ t_world_object
t_worldaug_object = t_worldaug_object[0:3, 0:3]
object_quat_wxyz = quaternions.mat2quat(t_worldaug_object)
if not preserve_theta:
object_quat_xyzw = (object_quat_wxyz[1], object_quat_wxyz[2],
object_quat_wxyz[3], object_quat_wxyz[0])
t_worldaug_object_two = t_worldaug_world @ t_world_object
object_position = t_worldaug_object_two[0:3, 3]
object_xy = object_position[0:2]
object_theta = -np.float32(
utils.quatXYZW_to_eulerXYZ(object_quat_xyzw)[2]) / self.theta_scale
return np.hstack((object_xy, object_theta)).astype(
np.float32), object_position, object_quat_xyzw
def print_poses(poses):
print 'translations'
print poses[:, :3]
print 'euler'
for i in xrange(poses.shape[0]):
a = txe.mat2euler(txq.quat2mat(poses[i, 3:]))
print[np.rad2deg(aa) for aa in a]
def extract_global_position(self, cam_pos_x):
# Convert camera position to relative polar coordinate of robot
depth_index = self.MIN_VISUAL_DEPTH_INDEX + int(
float(cam_pos_x) * self.VISUAL_DEPTH_RANGE / self.VISUAL_RGB_RANGE)
depth = self.depth_data[depth_index]
if depth_index > 10:
depth = max(max(depth, self.depth_data[depth_index - 5]),
self.depth_data[depth_index - 10])
if depth_index < 501:
depth = max(max(depth, self.depth_data[depth_index + 5]),
self.depth_data[depth_index + 10])
degree = self.MIN_DEGREE + (float(cam_pos_x * self.VISUAL_DEGREE_RANGE)
/ self.VISUAL_RGB_RANGE)
# Convert relative polar transformation to relative cartesian transformation matrix
rel_pos_x = depth * np.cos(np.deg2rad(degree))
rel_pos_y = depth * np.sin(np.deg2rad(degree))
obj_vec = np.array([rel_pos_x, rel_pos_y, 0, 1])
# Convert cartesian coordinate to absolute cartesian coordinate
rot_mat_robot = quat2mat([
self.orientation.w, self.orientation.x, self.orientation.y,
self.orientation.z
])
trans_mat_robot = compose(
np.array([self.position.x, self.position.y, self.position.z]),
rot_mat_robot, np.ones(3))
# Perform transformation
pos_x, pos_y, pos_z = np.dot(trans_mat_robot, obj_vec)[:3]
return pos_x, pos_y
def icp_refine_(self, pose, anno, output):
depth = read_depth(anno['depth_path']).astype(np.uint16)
mask = torch.argmax(output['seg'], dim=1)[0].detach().cpu().numpy()
mask = mask.astype(np.int32)
pose = pose.astype(np.float32)
poses = np.zeros([1, 7], dtype=np.float32)
poses[0, :4] = mat2quat(pose[:, :3])
poses[0, 4:] = pose[:, 3]
poses_new = np.zeros([1, 7], dtype=np.float32)
poses_icp = np.zeros([1, 7], dtype=np.float32)
fx = 572.41140
fy = 573.57043
px = 325.26110
py = 242.04899
zfar = 6.0
znear = 0.25
factor = 1000.0
error_threshold = 0.01
rois = np.zeros([1, 6], dtype=np.float32)
rois[:, :] = 1
self.icp_refiner.solveICP(mask, depth, self.height, self.width, fx, fy,
px, py, znear, zfar, factor, rois.shape[0],
rois, poses, poses_new, poses_icp,
error_threshold)
pose_icp = np.zeros([3, 4], dtype=np.float32)
pose_icp[:, :3] = quat2mat(poses_icp[0, :4])
pose_icp[:, 3] = poses_icp[0, 4:]
return pose_icp
def test_quaternion_reconstruction():
# Test reconstruction of arbitrary unit quaternions
for q in unit_quats:
M = tq.quat2mat(q)
qt = tq.mat2quat(M)
# Accept positive or negative match
posm = np.allclose(q, qt)
negm = np.allclose(q, -qt)
assert posm or negm
# Test vectorized operations
Q = np.array(list(unit_quats))
M = tq.quat2mat(Q)
QT = tq.mat2quat(M)
posm = np.isclose(Q, QT)
negm = np.isclose(Q, -QT)
assert np.logical_or(posm, negm).all()
def get_obs(self, env):
"""
Get current LiDAR sensor reading and occupancy grid (optional)
:return: LiDAR sensor reading and local occupancy grid, normalized to [0.0, 1.0]
"""
laser_angular_half_range = self.laser_angular_range / 2.0
if self.laser_link_name not in env.robots[0].parts:
raise Exception('Trying to simulate LiDAR sensor, but laser_link_name cannot be found in the robot URDF file. Please add a link named laser_link_name at the intended laser pose. Feel free to check out assets/models/turtlebot/turtlebot.urdf and examples/configs/turtlebot_p2p_nav.yaml for examples.')
laser_pose = env.robots[0].parts[self.laser_link_name].get_pose()
angle = np.arange(
-laser_angular_half_range / 180 * np.pi,
laser_angular_half_range / 180 * np.pi,
self.laser_angular_range / 180.0 * np.pi / self.n_horizontal_rays)
unit_vector_local = np.array(
[[np.cos(ang), np.sin(ang), 0.0] for ang in angle])
transform_matrix = quat2mat(
[laser_pose[6], laser_pose[3], laser_pose[4], laser_pose[5]]) # [x, y, z, w]
unit_vector_world = transform_matrix.dot(unit_vector_local.T).T
start_pose = np.tile(laser_pose[:3], (self.n_horizontal_rays, 1))
start_pose += unit_vector_world * self.min_laser_dist
end_pose = laser_pose[:3] + unit_vector_world * self.laser_linear_range
results = p.rayTestBatch(start_pose, end_pose, 6) # numThreads = 6
# hit fraction = [0.0, 1.0] of self.laser_linear_range
hit_fraction = np.array([item[2] for item in results])
hit_fraction = self.noise_model.add_noise(hit_fraction)
scan = np.expand_dims(hit_fraction, 1)
state = {}
state['scan'] = scan
if 'occupancy_grid' in self.modalities:
state['occupancy_grid'] = self.get_local_occupancy_grid(scan)
return state
def get_position_now(limb):
current_pose = limb.endpoint_pose()
x = current_pose['position'].x
y = current_pose['position'].y
z = current_pose['position'].z
rx = current_pose['orientation'].x
ry = current_pose['orientation'].y
rz = current_pose['orientation'].z
w = current_pose['orientation'].w
matrix = quaternions.quat2mat([w, rx, ry, rz])
pos_origin = np.array([x, y, z])
pos = np.dot(matrix, offset_probe) + pos_origin
x = pos[0]
y = pos[1]
z = pos[2]
print(x, y, z, end=' ')
print()
file = "/home/philos/Desktop/output.txt"
with open(file, 'a') as f:
json.dump(x, f, ensure_ascii=True)
f.write(" ")
json.dump(y, f, ensure_ascii=True)
f.write(" ")
json.dump(z, f, ensure_ascii=True)
f.write(" ")
f.write("\n")
def print_poses(poses):
print('translations')
print(poses[:, :3])
print('euler')
for i in range(poses.shape[0]):
a = txe.mat2euler(txq.quat2mat(poses[i, 3:]))
print([np.rad2deg(aa) for aa in a])
def get_scan(self):
"""
:return: LiDAR sensor reading, normalized to [0.0, 1.0]
"""
laser_angular_half_range = self.laser_angular_range / 2.0
if self.laser_link_name not in self.robots[0].parts:
raise Exception('Trying to simulate LiDAR sensor, but laser_link_name cannot be found in the robot URDF file. Please add a link named laser_link_name at the intended laser pose. Feel free to check out assets/models/turtlebot/turtlebot.urdf and examples/configs/turtlebot_p2p_nav.yaml for examples.')
laser_pose = self.robots[0].parts[self.laser_link_name].get_pose()
angle = np.arange(-laser_angular_half_range / 180 * np.pi,
laser_angular_half_range / 180 * np.pi,
self.laser_angular_range / 180.0 * np.pi / self.n_horizontal_rays)
unit_vector_local = np.array([[np.cos(ang), np.sin(ang), 0.0] for ang in angle])
transform_matrix = quat2mat([laser_pose[6], laser_pose[3], laser_pose[4], laser_pose[5]]) # [x, y, z, w]
unit_vector_world = transform_matrix.dot(unit_vector_local.T).T
start_pose = np.tile(laser_pose[:3], (self.n_horizontal_rays, 1))
start_pose += unit_vector_world * self.min_laser_dist
end_pose = laser_pose[:3] + unit_vector_world * self.laser_linear_range
results = p.rayTestBatch(start_pose, end_pose, 6) # numThreads = 6
hit_fraction = np.array([item[2] for item in results]) # hit fraction = [0.0, 1.0] of self.laser_linear_range
hit_fraction = self.add_naive_noise_to_sensor(hit_fraction, self.scan_noise_rate)
scan = np.expand_dims(hit_fraction, 1)
xyz = hit_fraction[:, np.newaxis] * unit_vector_local * 10
xyz = xyz[np.equal(np.isnan(xyz), False)]
xyz = xyz.reshape(xyz.shape[0] // 3, -1)
return xyz#scan
def posquat2Matrix(self, pos, quat):
T = np.eye(4)
T[0:3,
0:3] = quaternions.quat2mat([quat[-1], quat[0], quat[1], quat[2]])
T[0:3, 3] = pos
return np.array(T)
def test_pose_utils():
"""
Tests the pose utils
:return:
"""
TEST_COMPOSE = True
TEST_INV = True
def ra(_): return np.random.uniform(0, 2 * math.pi)
if TEST_COMPOSE:
print('Testing pose composing...')
R1 = txe.euler2mat(ra(1), ra(1), ra(1))
t1 = np.random.rand(3)
R2 = txe.euler2mat(ra(1), ra(1), ra(1))
t2 = np.random.rand(3)
# homogeneous matrix method
R = np.dot(R1, R2)
t = t1 + np.dot(R1, t2)
print('From homogeneous matrices, t = ')
print(t)
print('R = ')
print(R)
# quaternion method
q1 = txq.mat2quat(R1)
q2 = txq.mat2quat(R2)
p1 = torch.cat((torch.from_numpy(t1), torch.from_numpy(q1)))
p2 = torch.cat((torch.from_numpy(t2), torch.from_numpy(q2)))
p = compose_pose_quaternion(
torch.unsqueeze(
p1, 0), torch.unsqueeze(
p2, 0))
t = p[:, :3].numpy().squeeze()
q = p[:, 3:].numpy().squeeze()
print('From quaternions, t = ')
print(t)
print('R = ')
print(txe.quat2mat(q))
if TEST_INV:
print('Testing pose inversion...')
R = txe.euler2mat(ra(1), ra(1), ra(1))
t = np.random.rand(3)
T = np.eye(4)
T[:3, :3] = R
T[:3, -1] = t
q = txq.mat2quat(R)
p = torch.cat((torch.from_numpy(t), torch.from_numpy(q)))
pinv = invert_pose_quaternion(torch.unsqueeze(p, 0))
tinv, qinv = pinv[:, :3], pinv[:, 3:]
Rinv = txq.quat2mat(qinv.numpy().squeeze())
Tinv = np.eye(4)
Tinv[:3, :3] = Rinv
Tinv[:3, -1] = tinv.numpy().squeeze()
print('T * T^(-1) = ')
print(np.dot(T, Tinv))
def RT_transform(pose_src, r, t, T_means, T_stds, rot_coord="MODEL"):
# r: 4(quat) or 3(euler) number
# t: 3 number, (delta_x, delta_y, scale)
r = np.squeeze(r)
if r.shape[0] == 3:
Rm_delta = euler2mat(r[0], r[1], r[2])
elif r.shape[0] == 4:
# QUAT
quat = r / LA.norm(r)
Rm_delta = quat2mat(quat)
else:
raise Exception("Unknown r shape: {}".format(r.shape))
t_delta = np.squeeze(t)
if rot_coord.lower() == "naive":
se3_mx = np.zeros((3, 4))
se3_mx[:, :3] = Rm_delta
se3_mx[:, 3] = t
pose_est = se3_mul(se3_mx, pose_src)
else:
pose_est = np.zeros((3, 4))
pose_est[:3, :3] = R_transform(pose_src[:3, :3], Rm_delta, rot_coord)
pose_est[:3, 3] = T_transform(pose_src[:, 3], t_delta, T_means, T_stds,
rot_coord)
return pose_est
def pose_to_matrix(pose):
t = pose[:3].reshape(3, 1)
quat_tmp = pose[3:]
quat = [quat_tmp[3], quat_tmp[0], quat_tmp[1], quat_tmp[2]]
R = quaternions.quat2mat(quat)
T = np.vstack((np.hstack((R, t)), [0, 0, 0, 1]))
return T
def rotate_pose(point, quat, theta, axis="x"):
# set quaternion to transforms3d format, i.e. w,x,y,z
quat_t3d = [quat[3], quat[0], quat[1], quat[2]]
rot_mat = quaternions.quat2mat(quat_t3d)
H1 = np.eye(4)
H1[:3,:3] = rot_mat
H1[:3,3] = point
H2 = np.eye(4)
if axis == "x":
rot_axis = np.array(eulerangles.x_rotation(theta))
elif axis == "y":
rot_axis = np.array(eulerangles.y_rotation(theta))
elif axis == "z":
rot_axis = np.array(eulerangles.z_rotation(theta))
print rot_axis H2[:3,:3] = rot_axis
H3 = np.dot(H1, H2)
point_out = H3[:3,3]
quat_t3dout = quaternions.mat2quat(H3[:3,:3])
# Turn to ROS format, i.e. x, y, z, w
quat_out = [quat_t3dout[1], quat_t3dout[2], quat_t3dout[3], quat_t3do
ut[0]]
rospy.loginfo("Rotated pose: ")
print point_out, quat_out
return point_out, quat_out
def quat2euler(q):
''' Return Euler angles corresponding to quaternion `q`
Parameters
----------
q : 4 element sequence
w, x, y, z of quaternion
Returns
-------
z : scalar
Rotation angle in radians around z-axis (performed first)
y : scalar
Rotation angle in radians around y-axis
x : scalar
Rotation angle in radians around x-axis (performed last)
Notes
-----
It's possible to reduce the amount of calculation a little, by
combining parts of the ``quat2mat`` and ``mat2euler`` functions, but
the reduction in computation is small, and the code repetition is
large.
'''
# delayed import to avoid cyclic dependencies
import transforms3d.quaternions as nq
return mat2euler(nq.quat2mat(q))
def process_input(self):
"""
Function to extract data from the input array.
Input array is the output of the optimization step
which holds the generated sparse model of the object
and the relative scene transformations.
"""
#get the relative scene transforamtions from input array
self.scene_tfs = np.empty((0, 4, 4))
for input_arr in self.input_arrays:
num_scenes = input_arr['ref'].shape[0]
out_ts = input_arr['scenes'][:(num_scenes) * 3].reshape(
(num_scenes, 3))
out_qs = input_arr['scenes'][(num_scenes) * 3:(num_scenes) *
7].reshape((num_scenes, 4))
out_tfs = np.asarray([
tfa.compose(t, tfq.quat2mat(q), np.ones(3))
for t, q in zip(out_ts, out_qs)
])
self.scene_tfs = np.vstack((self.scene_tfs, out_tfs))
self.object_model = []
for obj in self.model_paths:
#read sparse model from input array
sparse_model = SparseModel().reader(obj)
#read dense model from .PLY file
dense_model = o3d.io.read_point_cloud(
os.path.join(os.path.dirname(obj), "dense.ply"))
self.object_model.append(
[sparse_model, np.asarray(dense_model.points)])
return
def get_xyz_points(self, quat):
"""
Set absolute (global) rotation for the hand.
Parameters
----------
quat : np.ndarray, shape [J, 4]
Absolute rotations for each joint in quaternion.
Returns
-------
np.ndarray, shape [V, 3]
Mesh vertices after posing.
"""
mats = []
for j in range(MANOHandJoints.n_joints):
mats.append(quat2mat(quat[j]))
mats = np.stack(mats, 0)
pose = np.matmul(mats, self.ref_pose)
joint_xyz = [None] * MANOHandJoints.n_joints
for j in range(MANOHandJoints.n_joints):
joint_xyz[j] = pose[j]
parent = MANOHandJoints.parents[j]
if parent is not None:
joint_xyz[j] += joint_xyz[parent]
joint_xyz = np.stack(joint_xyz, 0)[..., 0]
return joint_xyz
def extract_x_y_theta(self,
object_info,
t_worldaug_world=None,
preserve_theta=False):
"""Extract in-plane theta."""
object_position = object_info[0]
object_quat_xyzw = object_info[1]
if t_worldaug_world is not None:
object_quat_wxyz = (object_quat_xyzw[3], object_quat_xyzw[0],
object_quat_xyzw[1], object_quat_xyzw[2])
t_world_object = quaternions.quat2mat(object_quat_wxyz)
t_world_object[0:3, 3] = np.array(object_position)
t_worldaug_object = t_worldaug_world @ t_world_object
object_quat_wxyz = quaternions.mat2quat(t_worldaug_object)
if not preserve_theta:
object_quat_xyzw = (object_quat_wxyz[1], object_quat_wxyz[2],
object_quat_wxyz[3], object_quat_wxyz[0])
object_position = t_worldaug_object[0:3, 3]
object_xy = object_position[0:2]
object_theta = -np.float32(
utils.quatXYZW_to_eulerXYZ(object_quat_xyzw)
[2]) / self.theta_scale
return np.hstack(
(object_xy,
object_theta)).astype(np.float32), object_position, object_quat_xyzw
def get_six_dof_object(self, object_info, t_worldaug_world=None):
"""Calculate the pose of 6DOF object."""
object_position = object_info[0]
object_quat_xyzw = object_info[1]
if t_worldaug_world is not None:
object_quat_wxyz = (object_quat_xyzw[3], object_quat_xyzw[0],
object_quat_xyzw[1], object_quat_xyzw[2])
t_world_object = quaternions.quat2mat(object_quat_wxyz)
t_world_object[0:3, 3] = np.array(object_position)
t_worldaug_object = t_worldaug_world @ t_world_object
object_quat_wxyz = quaternions.mat2quat(
t_worldaug_object)
object_quat_xyzw = (object_quat_wxyz[1], object_quat_wxyz[2],
object_quat_wxyz[3], object_quat_wxyz[0])
object_position = t_worldaug_object[0:3, 3]
euler = utils.quatXYZW_to_eulerXYZ(object_quat_xyzw)
roll = euler[0]
pitch = euler[1]
theta = -euler[2]
return np.asarray([
object_position[0], object_position[1], object_position[2], roll, pitch,
theta
])
def gen_mat(axis, degree):
axis = axis / LA.norm(axis)
return quat2mat([
cos(degree / 360.0 * pi),
axis[0] * sin(degree / 360.0 * pi),
axis[1] * sin(degree / 360.0 * pi),
axis[2] * sin(degree / 360.0 * pi),
])
def translations_quaternions_to_transform(pose):
t = pose[:3]
q = pose[3:]
T = np.eye(4)
T[:3, :3] = quat2mat(q)
T[:3, 3] = t
return T
def test_quaternion_reconstruction():
# Test reconstruction of arbitrary unit quaternions
for q in unit_quats:
M = tq.quat2mat(q)
qt = tq.mat2quat(M)
# Accept positive or negative match
posm = np.allclose(q, qt)
negm = np.allclose(q, -qt)
assert posm or negm
def test_qinverse():
# Takes sequence
iq = tq.qinverse((1, 0, 0, 0))
# Returns float type
assert iq.dtype.kind == 'f'
for M, q in eg_pairs:
iq = tq.qinverse(q)
iqM = tq.quat2mat(iq)
iM = np.linalg.inv(M)
assert np.allclose(iM, iqM)
def test_qeye():
qi = tq.qeye()
assert qi.dtype.kind == 'f'
assert np.all([1,0,0,0]==qi)
assert np.allclose(tq.quat2mat(qi), np.eye(3))
def test_qmult():
# Test that quaternion * same as matrix *
for M1, q1 in eg_pairs[0::4]:
for M2, q2 in eg_pairs[1::4]:
q21 = tq.qmult(q2, q1)
assert_array_almost_equal(np.dot(M2,M1), tq.quat2mat(q21))
if filter_ground_points:
key_frame_id = 0
keyframe_quaternion = None
keyframe_location = None
while key_frame_id < len(timestamps):
try:
keyframe_quaternion = np.array(keyframe_quaternions_dict[timestamps[key_frame_id]])
keyframe_location = keyframe_locations_dict[timestamps[key_frame_id]]
break
except KeyError:
key_frame_id += 1
if keyframe_quaternion is None:
raise StandardError('No valid keyframes found for point {:d}'.format(n_points))
# normalize quaternion
keyframe_quaternion /= np.linalg.norm(keyframe_quaternion)
keyframe_rotation = quaternions.quat2mat(keyframe_quaternion)
keyframe_translation = np.matrix(keyframe_location).transpose()
transform_mat = np.zeros([4, 4], dtype=np.float64)
transform_mat[0:3, 0:3] = keyframe_rotation.transpose()
transform_mat[3, 0:3] = (np.matrix(-keyframe_rotation.transpose()) * keyframe_translation).ravel()
transform_mat[3, 3] = 1
point_location = np.matrix([point_x, point_y, point_z, 1]).transpose()
transformed_point_location = np.matrix(transform_mat) * point_location
# homogeneous to non homogeneous coordinates
transformed_point_height = transformed_point_location[1] / transformed_point_location[3]
if transformed_point_height < 0:
is_ground_point[-1] = True
point_locations.append([point_x, point_y, point_z])
point_timestamps.append(timestamps)
n_points += 1