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Tracking.py
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import numpy as np
import cv2
import open3d as o3d
from Config import Config
from matplotlib import pyplot as plt
from Optimizer import *
from Keyframe import *
from utilities import rot_to_angle, rot_to_heading
from scipy.spatial.transform import Rotation
class Tracking:
"""Track the input image with respect to previous images"""
"""fx=fy=f=imageWidth /(2 * tan(CameraFOV * π / 360))"""
def __init__(self):
self.current_frame = None
self.ref_keyframe = None
self.image_queue = [] # ?
self.matcher = cv2.BFMatcher(cv2.NORM_HAMMING, crossCheck=True) # create BFMatcher object
self.insert_new_kf = False
self.new_kf_inserted = False
self.tracking_success = False
self.map = []
# self.current_rot = np.eye(3)
# self.current_pos = np.array([0, 0, 0])
self.current_pose = np.eye(4)
self.fx = Config().fx
self.fy = Config().fy
self.cx = Config().cx
self.cy = Config().cy
self.bf = Config().bf
self.reprojection_threshold = 0.3
self.n_loop_closures = 0 # Counter for the number of verified loop closures
self.grid_dim = (31, 31, 10) # x_grid, z_grid, [x,z,heading uncertainty + 1 layer occupancy]
self.grid_center = (self.grid_dim[0]//2, self.grid_dim[1]//2, (self.grid_dim[2]-1)//2)
self.grid_length = 8.0
self.grid_size = self.grid_length/self.grid_dim[0]
self.grid_size_angle = 2*np.pi/(self.grid_dim[2]-1) # if e.g. grid_dim[2] == 11, then 9 divisions
self.pgo = PoseGraphOptimizerGTSAM()
self.result = None
self.marginals = None
self.loop_closure_inserted = False
def grab_frame(self, frame):
self.current_frame = frame
if not self.ref_keyframe:
self.ref_keyframe = Keyframe(frame)
self.ref_keyframe.key_point_initializer()
self.ref_keyframe.set_pose(np.eye(3), [0, 0, 0])
self.map.append(self.ref_keyframe)
self.result, self.marginals = self.pgo.add_node_optimize(self.ref_keyframe)
return True
else:
return self.track()
def track(self):
n_matched = 0
candidate_ref_keyframe = None
new_kf = None
list_kf = [kf[0] for kf in self.ref_keyframe.neighbors]
# if self.ref_keyframe not in list_kf:
# list_kf.append(self.ref_keyframe)
if self.ref_keyframe in list_kf:
list_kf.remove(self.ref_keyframe)
list_kf = sorted(list_kf, key=lambda x: x.kfID, reverse=False)
list_kf.append(self.ref_keyframe)
list_kf_n = len(list_kf)
list_kf_correspondence = []
count_success = 0
n_max = 0
if list_kf_n == 1:
self.insert_new_kf = True
for i in range(list_kf_n - 1, -1, -1):
key_fr = list_kf[i]
if count_success <= 3 or (self.new_kf_inserted and not self.tracking_success):
flag_success, rel_pose, matches = self.visual_odometry_teaser(self.current_frame, key_fr)
else:
break
if not flag_success:
del list_kf[i] # is this really necessary?
if i == list_kf_n-1: # If tracking reference keyframe failed, insert new kf
self.insert_new_kf = True
continue
else: # Decide if the current frame should be converted into a new keyframe
list_kf_correspondence.insert(0, (rel_pose, matches))
if i == list_kf_n-1 and (len(matches) < 0.55*key_fr.n_kp or len(matches) < 300):
self.insert_new_kf = True
print("Decided to convert to kf, matches: ", len(matches), " KPs: ", key_fr.n_kp, " KFID: ",
key_fr.kfID)
if len(matches) > 0.85*key_fr.n_kp:
self.tracking_success = True
print("Tracking was successful!")
# list_kf_correspondence[i] = len(matches)
count_success += 1
# if i == len(list_kf) - 1:
rel_rot = rel_pose[:3, :3]
rel_trans = rel_pose[:3, 3]
rot = key_fr.rot().dot(rel_rot) # rot = rel_rot.dot(key_fr.rot())
trans = key_fr.pos() + key_fr.rot().dot(rel_trans) # trans = rel_trans + rel_rot.dot(key_fr.pos())
self.current_pose[0:3, 0:3] = rot
self.current_pose[0:3, 3] = trans
# if self.insert_new_kf and not self.new_kf_inserted: # Convert current frame into new kf
if self.insert_new_kf and not self.new_kf_inserted: # Convert current frame into new kf
self.new_kf_inserted = True
new_kf = Keyframe(self.current_frame) # Now add key points to the new kf
self.map.append(new_kf)
new_kf.set_pose(rot, trans)
if self.new_kf_inserted:
for p in matches:
idx_kf = p.queryIdx
idx_cf = p.trainIdx
kp = key_fr.get_key_point(idx_kf)
if kp:
new_kf.add_key_point(idx_cf, kp)
else:
d = key_fr.depth[idx_kf]
pos = np.array([(key_fr.fp[idx_kf].pt[0]-self.cx)/self.fx*d,
(key_fr.fp[idx_kf].pt[1]-self.cy)/self.fy*d, d])
pos = key_fr.rot().dot(pos) + key_fr.pos()
kp = key_fr.new_key_point(idx_kf, pos)
new_kf.add_key_point(idx_cf, kp)
print("New KF initialized: <", new_kf.kfID, "> ", len(new_kf.key_points))
score = Keyframe.kfdb.score_l1(new_kf.bow, key_fr.bow, normalize=True)
key_fr.neighbors.append((new_kf, rel_pose, score))
new_kf.neighbors.append((key_fr, np.linalg.inv(rel_pose), score))
# Change the reference kf to the one with max correspondence
n_matched = len(matches)
if n_matched > n_max:
candidate_ref_keyframe = key_fr
n_max = n_matched
if self.new_kf_inserted:
# self.ref_keyframe = new_kf
print("New KF Neighbors: ", [kf[0].kfID for kf in new_kf.neighbors])
if candidate_ref_keyframe:
self.ref_keyframe = candidate_ref_keyframe
print("REF KF: ", self.ref_keyframe.kfID, " keypoints: ", len(self.ref_keyframe.key_points),
" Neighbors: ", [kf_[0].kfID for kf_ in self.ref_keyframe.neighbors])
else:
print("Number of matched features: ", n_matched)
# Check BOW vectors for loop closure detection
if self.new_kf_inserted:
list_candidates = Keyframe.kfdb.get_candidates(new_kf)
print("THE LIST OF CANDIDATES FOR LOOP CLOSURE: ", [kf.kfID for kf in list_candidates])
for kf in list_candidates:
self.loop_closure_teaser(new_kf, kf)
if self.new_kf_inserted:
self.result, self.marginals = self.pgo.add_node_optimize(new_kf)
self.insert_new_kf = False
self.new_kf_inserted = False
self.tracking_success = False
return count_success > 0
def visual_odometry_teaser(self, current_f, key_f):
flag_reproject = True
# kf_des = key_f.des
# Fetch descriptors from the keypoints of key_frame
kf_des = np.zeros([key_f.n_kp, 32], dtype=np.uint8)
kf_kp_indices = []
for idx, kp_idx in enumerate(key_f.key_points):
kf_des[idx, :] = key_f.key_points[kp_idx].des
kf_kp_indices.append(kp_idx)
# Match keypoint descriptors with the features of the current frame
matches = self.matcher.match(kf_des, current_f.des)
# matches = sorted(matches, key=lambda x: x.distance) # Sort them in the order of their distance.
if len(matches) < 30:
print("VO failed due to lack of feature matches: ", len(matches))
return False, None, []
# if len(matches) < key_f.n_kp * 0.55 or len(matches) < 300:
# self.insert_new_kf = True
# print("Decision to convert to kf, matches: ", len(matches), " KPs: ", key_f.n_kp, " KFID: ", key_f.kfID)
src = np.zeros((3, len(matches)), dtype=float)
dst = np.zeros((3, len(matches)), dtype=float)
for idx, p in enumerate(matches):
p.queryIdx = kf_kp_indices[p.queryIdx]
src[:, idx] = self.obs_to_3d(current_f.fp[p.trainIdx].pt[0], current_f.fp[p.trainIdx].pt[1],
current_f.depth[p.trainIdx])
dst[:, idx] = self.obs_to_3d(key_f.fp[p.queryIdx].pt[0], key_f.fp[p.queryIdx].pt[1],
key_f.depth[p.queryIdx])
optim = PoseOptimizerTeaser()
pose = optim.optimize(src, dst)
rot = pose[0:3, 0:3]
trans = pose[0:3, 3]
edge_outlier = []
for idx, p in enumerate(matches):
pf = self.obs_to_3d(current_f.fp[p.trainIdx].pt[0], current_f.fp[p.trainIdx].pt[1],
current_f.depth[p.trainIdx])
pkf = self.obs_to_3d(key_f.fp[p.queryIdx].pt[0], key_f.fp[p.queryIdx].pt[1], key_f.depth[p.queryIdx])
error = pkf - rot.dot(pf) - trans
# print(np.linalg.norm(error))
if np.linalg.norm(error) < 2:
edge_outlier.append(False)
else:
edge_outlier.append(True)
if np.linalg.norm(pose[0:3, 3]) > 2:
print("VO failed due to bad translation: ", np.linalg.norm(pose[0:3, 3]), " matches: ", len(matches))
return False, None, []
elif len(edge_outlier) - np.sum(edge_outlier) < 60:
print("VO failed due to lack of enough matches: ", len(edge_outlier) - np.sum(edge_outlier))
return False, None, []
matches_inlier = [p for idx, p in enumerate(matches) if not edge_outlier[idx]]
if flag_reproject:
fp_inliers_idx_kf = [p.queryIdx for p in matches_inlier]
fp_inliers_idx_f = [p.trainIdx for p in matches_inlier]
new_matches = self.reproject_features(current_f, key_f, pose,
fp_inliers_idx_f, fp_inliers_idx_kf)
matches_inlier.extend(new_matches)
print("VO succeeded, init. inliers: ", len(edge_outlier) - np.sum(edge_outlier))
return True, pose, matches_inlier
def reproject_features(self, current_f, key_f, pose, fp_inliers_idx_f, fp_inliers_idx_kf):
rot = pose[0:3, 0:3]
trans = pose[0:3, 3]
n_inliers = len(fp_inliers_idx_kf)
# assert len(fp_inliers_idx_kf) == len(fp_inliers_idx_f)
if len(key_f.fp)-n_inliers < 50 or len(current_f.fp)-n_inliers < 50:
return []
kf_des = np.empty([len(key_f.fp)-n_inliers, 32], dtype=np.uint8)
f_des = np.empty([len(current_f.fp)-n_inliers, 32], dtype=np.uint8)
kf_indices = []
f_indices = []
counter = 0
for idx, fp in enumerate(current_f.fp):
if idx in fp_inliers_idx_f:
continue
f_des[counter, :] = current_f.des[idx, :]
counter += 1
f_indices.append(idx)
counter = 0
for idx, fp in enumerate(key_f.fp):
if idx in fp_inliers_idx_kf:
continue
kf_des[counter, :] = key_f.des[idx, :]
counter += 1
kf_indices.append(idx)
matches = self.matcher.match(kf_des, f_des)
n_reprojected = 0
new_matches = []
for p in matches:
p.queryIdx = kf_indices[p.queryIdx]
p.trainIdx = f_indices[p.trainIdx]
dkf = key_f.depth[p.queryIdx]
df = current_f.depth[p.trainIdx]
pkf = self.obs_to_3d(key_f.fp[p.queryIdx].pt[0], key_f.fp[p.queryIdx].pt[1], dkf)
pf = self.obs_to_3d(current_f.fp[p.trainIdx].pt[0], current_f.fp[p.trainIdx].pt[1]
, df)
error = pkf - rot.dot(pf) - trans
# print(np.linalg.norm(error))
if np.linalg.norm(error) < self.reprojection_threshold:
n_reprojected += 1
kp = key_f.new_key_point(p.queryIdx, pkf)
key_f.add_key_point(p.queryIdx, kp)
new_matches.append(p)
print(n_reprojected, " new keypoints created on kf ", key_f.kfID, "from tracking frame", current_f.id)
return new_matches
def obs_to_3d(self, u, v, d):
return np.array([(u - self.cx) / self.fx * d, (v - self.cy) / self.fy * d, d])
def obs_to_stereo(self, u, v, d):
return np.array([u, u - self.bf / d, v])
def loop_closure_teaser(self, new_kf, loop_kf):
# If temporal gap is small, disregard this candidate
if new_kf.kfID - loop_kf.kfID < 10:
return
# Calculate the similarity score and compare with neighbors
new_score = Keyframe.kfdb.score_l1(new_kf.bow, loop_kf.bow, normalize=True)
candidate_kf = loop_kf
for kf, _, _ in loop_kf.neighbors:
neighbor_score = Keyframe.kfdb.score_l1(new_kf.bow, kf.bow, normalize=True)
if neighbor_score > new_score:
new_score = neighbor_score
candidate_kf = kf
loop_kf = candidate_kf
if loop_kf in new_kf.neighbors_list():
return
min_score = 1
for _, _, score in loop_kf.neighbors:
min_score = min(min_score, score)
if min_score > new_score:
return
# If the absolute positions and orientations are not close enough, return
# if np.linalg.norm(new_kf.pos()-loop_kf.pos()) > 2 or \
# rot_to_angle(np.matmul(new_kf.rot(), loop_kf.rot().T)) > 20/180*np.pi*np.sqrt(2):
# return
# Find matches, and return if few matches
matches = self.matcher.match(loop_kf.des, new_kf.des)
if len(matches) < 100:
return
src = np.zeros((3, len(matches)), dtype=float)
dst = np.zeros((3, len(matches)), dtype=float)
for idx, p in enumerate(matches):
src[:, idx] = self.obs_to_3d(new_kf.fp[p.trainIdx].pt[0], new_kf.fp[p.trainIdx].pt[1],
new_kf.depth[p.trainIdx])
dst[:, idx] = self.obs_to_3d(loop_kf.fp[p.queryIdx].pt[0], loop_kf.fp[p.queryIdx].pt[1],
loop_kf.depth[p.queryIdx])
optim = PoseOptimizerTeaser()
pose = optim.optimize(src, dst)
rot = pose[0:3, 0:3]
trans = pose[0:3, 3]
errors = dst-rot.dot(src)-trans.reshape((3, 1))
outliers = []
n_outliers = 0
n_inliers = 0
for idx in range(len(matches)):
if np.linalg.norm(errors[:, idx]) < self.reprojection_threshold:
outliers.append(False)
n_inliers += 1
else:
outliers.append(True)
n_outliers += 1
if n_inliers < 150: # n_outliers > 0.65 * len(matches) or
return
odom_rel_rot = np.matmul(loop_kf.rot().T, new_kf.rot())
odom_rel_pos = np.matmul(loop_kf.rot().T, new_kf.pos()-loop_kf.pos())
if np.linalg.norm(pose[0:3, 3]-odom_rel_pos) > 0.5 or \
rot_to_angle(odom_rel_rot.T.dot(pose[0:3, 0:3])) > 10/180*np.pi:
return
loop_kf.neighbors.append((new_kf, pose, new_score))
new_kf.neighbors.append((loop_kf, np.linalg.inv(pose), new_score))
self.n_loop_closures += 1
print("LOOP CLOSURE ESTABLISHED WITH KF: ", loop_kf.kfID)
self.loop_closure_inserted = True
# Need to merge keypoints!
def get_state(self, pcd):
state = np.zeros(self.grid_dim, dtype=np.float32)
# state_xz = np.zeros((self.grid_dim[0], self.grid_dim[1]), dtype=np.float32)
# state_h = np.zeros(self.grid_dim[2], dtype=np.float32)
current_rot = self.current_pose[0:3, 0:3]
current_pos = self.current_pose[0:3, 3]
kf_center_list = []
n_good_kf = 0
for kf in self.map:
rel_rot = current_rot.T.dot(kf.rot())
rel_pos = current_rot.T.dot(kf.pos()-current_pos)
add_ = 0
if self.grid_dim[0] % 2 == 1:
add_ = 0.5*self.grid_size
x_idx = int((rel_pos[0]+add_)//self.grid_size+self.grid_center[0])
z_idx = int((rel_pos[2]+add_)//self.grid_size+self.grid_center[1])
# Only consider keyframes that are either in the grid or one idx away in both directions
if x_idx < -1 or x_idx > self.grid_dim[0]:
continue
if z_idx < -1 or z_idx > self.grid_dim[1]:
continue
if 0 <= x_idx < self.grid_dim[0] and 0 <= z_idx < self.grid_dim[1]:
kf_center_list.append((x_idx, z_idx))
n_good_kf += 1
# heading = rot_to_heading(rel_rot)
# heading_idx = int((np.pi + heading) // self.grid_size_angle)
# cov = self.marginals.marginalCovariance(gt.symbol_shorthand_X(kf.kfID))
inf = self.marginals.marginalInformation(X(kf.kfID))
inf[0:3, 0:3] = inf[0:3, 0:3].dot(rel_rot.T)
inf[3:, 3:] = inf[3:, 3:].dot(rel_rot.T)
rel_cov_pos = 0
rel_cov_rot = 0
for x_ in range(self.grid_dim[0]):
for z_ in range(self.grid_dim[1]):
p_ = np.array([(x_-self.grid_center[0])*self.grid_size,
0,
(z_-self.grid_center[1])*self.grid_size])
p_ = rel_pos - p_
prob = np.exp(-0.5*p_.reshape((1, 3)).dot(inf[0:3, 0:3]).dot(p_.reshape((3, 1))))
prob = prob*np.sqrt(np.linalg.det(inf[0:3, 0:3]))
state[x_, z_, 0:self.grid_dim[2]-1] += min(prob.squeeze(), 2)
# state_xz[x_, z_] += prob.squeeze()
for h_ in range(self.grid_dim[2]-2):
theta = (h_ - self.grid_center[2]) * self.grid_size_angle
rot = np.array([[np.cos(theta), 0, -np.sin(theta)],
[0 , 1, 0 ],
[np.sin(theta), 0, np.cos(theta) ]])
rot = rel_rot.T.dot(rot)
r_ = Rotation.from_matrix(rot).as_rotvec()
prob = np.exp(-0.5 * r_.reshape((1, 3)).dot(inf[3:, 3:]).dot(r_.reshape((3, 1))))
prob = prob * np.sqrt(np.linalg.det(inf[3:, 3:]))
state[:, :, h_] += min(prob.squeeze(), 2)
# state_h[h_] += prob.squeeze()
# state[x_idx, z_idx, 2*heading_idx] += np.linalg.det(cov[0:3, 0:3])
# state[x_idx, z_idx, 2 * heading_idx+1] += np.linalg.det(cov[3:, 3:])
# average over the qualified keyframes
if n_good_kf > 0:
state = state / n_good_kf
points = np.array(pcd.points)
points = np.matmul(points - current_pos.reshape(1, 3), current_rot)
valid_idx = np.where(np.linalg.norm(points[:, 0:3:2], ord=np.inf, axis=1) < self.grid_length/2)
points = points[valid_idx[0], :]
valid_idx2 = np.where(np.abs(points[:, 1]) < 1.5)
points = points[valid_idx2[0], :]
valid_idx3 = np.where(np.linalg.norm(points[:, 0:3:2], ord=np.inf, axis=1) != 0.)
points = points[valid_idx3[0], :]
# if points.size != 0:
# colors = np.array(pcd.colors)
# colors = colors[valid_idx[0], :]
# colors = colors[valid_idx2[0], :]
# pcd_ = o3d.geometry.PointCloud()
# pcd_.points = o3d.utility.Vector3dVector(points)
# pcd_.colors = o3d.utility.Vector3dVector(colors)
# o3d.visualization.draw_geometries([pcd_])
for idx in range(points.shape[0]):
x_idx = int((points[idx, 0] + add_) // self.grid_size + self.grid_dim[0] // 2)
z_idx = int((points[idx, 2] + add_) // self.grid_size + self.grid_dim[1] // 2)
state[x_idx, z_idx, -1] = 1.
# state[:, :, -1] = state[:, :, -1] / np.max(state[:, :, -1])
for x_idx, z_idx in kf_center_list:
state[x_idx, z_idx, -1] = 0.
return state
def check_loop_closure(self):
temp = self.loop_closure_inserted
self.loop_closure_inserted = False
return temp
def reset(self):
Keyframe.kfID = 0
Keyframe.kfdb = KeyframeDatabase()
Frame.id = 0
self.current_frame = None
self.ref_keyframe = None
self.image_queue = [] # ?
self.insert_new_kf = False
self.new_kf_inserted = False
self.tracking_success = False
self.map = []
# self.current_rot = np.eye(3)
# self.current_pos = np.array([0, 0, 0])
self.current_pose = np.eye(4)
self.n_loop_closures = 0 # Counter for the number of verified loop closures
self.pgo = PoseGraphOptimizerGTSAM()
self.result = None
self.marginals = None
self.loop_closure_inserted = False