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sort.py
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| 1 |
+
"""
|
| 2 |
+
SORT: A Simple, Online and Realtime Tracker
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| 3 |
+
Copyright (C) 2016-2020 Alex Bewley alex@bewley.ai
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| 4 |
+
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| 5 |
+
This program is free software: you can redistribute it and/or modify
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| 6 |
+
it under the terms of the GNU General Public License as published by
|
| 7 |
+
the Free Software Foundation, either version 3 of the License, or
|
| 8 |
+
(at your option) any later version.
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| 9 |
+
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| 10 |
+
This program is distributed in the hope that it will be useful,
|
| 11 |
+
but WITHOUT ANY WARRANTY; without even the implied warranty of
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| 12 |
+
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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| 13 |
+
GNU General Public License for more details.
|
| 14 |
+
|
| 15 |
+
You should have received a copy of the GNU General Public License
|
| 16 |
+
along with this program. If not, see <http://www.gnu.org/licenses/>.
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| 17 |
+
"""
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| 18 |
+
from __future__ import print_function
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| 19 |
+
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| 20 |
+
import os
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| 21 |
+
import numpy as np
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| 22 |
+
import matplotlib
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| 23 |
+
matplotlib.use('TkAgg')
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| 24 |
+
import matplotlib.pyplot as plt
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| 25 |
+
import matplotlib.patches as patches
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| 26 |
+
from skimage import io
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| 27 |
+
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| 28 |
+
import glob
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| 29 |
+
import time
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| 30 |
+
import argparse
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| 31 |
+
from filterpy.kalman import KalmanFilter
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| 32 |
+
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| 33 |
+
np.random.seed(0)
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| 34 |
+
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| 35 |
+
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| 36 |
+
def linear_assignment(cost_matrix):
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| 37 |
+
try:
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| 38 |
+
import lap
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| 39 |
+
_, x, y = lap.lapjv(cost_matrix, extend_cost=True)
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| 40 |
+
return np.array([[y[i],i] for i in x if i >= 0]) #
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| 41 |
+
except ImportError:
|
| 42 |
+
from scipy.optimize import linear_sum_assignment
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| 43 |
+
x, y = linear_sum_assignment(cost_matrix)
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| 44 |
+
return np.array(list(zip(x, y)))
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| 45 |
+
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| 46 |
+
|
| 47 |
+
def iou_batch(bb_test, bb_gt):
|
| 48 |
+
"""
|
| 49 |
+
From SORT: Computes IOU between two bboxes in the form [x1,y1,x2,y2]
|
| 50 |
+
"""
|
| 51 |
+
bb_gt = np.expand_dims(bb_gt, 0)
|
| 52 |
+
bb_test = np.expand_dims(bb_test, 1)
|
| 53 |
+
|
| 54 |
+
xx1 = np.maximum(bb_test[..., 0], bb_gt[..., 0])
|
| 55 |
+
yy1 = np.maximum(bb_test[..., 1], bb_gt[..., 1])
|
| 56 |
+
xx2 = np.minimum(bb_test[..., 2], bb_gt[..., 2])
|
| 57 |
+
yy2 = np.minimum(bb_test[..., 3], bb_gt[..., 3])
|
| 58 |
+
w = np.maximum(0., xx2 - xx1)
|
| 59 |
+
h = np.maximum(0., yy2 - yy1)
|
| 60 |
+
wh = w * h
|
| 61 |
+
o = wh / ((bb_test[..., 2] - bb_test[..., 0]) * (bb_test[..., 3] - bb_test[..., 1])
|
| 62 |
+
+ (bb_gt[..., 2] - bb_gt[..., 0]) * (bb_gt[..., 3] - bb_gt[..., 1]) - wh)
|
| 63 |
+
return(o)
|
| 64 |
+
|
| 65 |
+
|
| 66 |
+
def convert_bbox_to_z(bbox):
|
| 67 |
+
"""
|
| 68 |
+
Takes a bounding box in the form [x1,y1,x2,y2] and returns z in the form
|
| 69 |
+
[x,y,s,r] where x,y is the centre of the box and s is the scale/area and r is
|
| 70 |
+
the aspect ratio
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| 71 |
+
"""
|
| 72 |
+
w = bbox[2] - bbox[0]
|
| 73 |
+
h = bbox[3] - bbox[1]
|
| 74 |
+
x = bbox[0] + w/2.
|
| 75 |
+
y = bbox[1] + h/2.
|
| 76 |
+
s = w * h #scale is just area
|
| 77 |
+
r = w / float(h)
|
| 78 |
+
return np.array([x, y, s, r]).reshape((4, 1))
|
| 79 |
+
|
| 80 |
+
|
| 81 |
+
def convert_x_to_bbox(x,score=None):
|
| 82 |
+
"""
|
| 83 |
+
Takes a bounding box in the centre form [x,y,s,r] and returns it in the form
|
| 84 |
+
[x1,y1,x2,y2] where x1,y1 is the top left and x2,y2 is the bottom right
|
| 85 |
+
"""
|
| 86 |
+
w = np.sqrt(x[2] * x[3])
|
| 87 |
+
h = x[2] / w
|
| 88 |
+
if(score==None):
|
| 89 |
+
return np.array([x[0]-w/2.,x[1]-h/2.,x[0]+w/2.,x[1]+h/2.]).reshape((1,4))
|
| 90 |
+
else:
|
| 91 |
+
return np.array([x[0]-w/2.,x[1]-h/2.,x[0]+w/2.,x[1]+h/2.,score]).reshape((1,5))
|
| 92 |
+
|
| 93 |
+
|
| 94 |
+
class KalmanBoxTracker(object):
|
| 95 |
+
"""
|
| 96 |
+
This class represents the internal state of individual tracked objects observed as bbox.
|
| 97 |
+
"""
|
| 98 |
+
count = 0
|
| 99 |
+
def __init__(self,bbox):
|
| 100 |
+
"""
|
| 101 |
+
Initialises a tracker using initial bounding box.
|
| 102 |
+
"""
|
| 103 |
+
#define constant velocity model
|
| 104 |
+
self.kf = KalmanFilter(dim_x=7, dim_z=4)
|
| 105 |
+
self.kf.F = np.array([[1,0,0,0,1,0,0],[0,1,0,0,0,1,0],[0,0,1,0,0,0,1],[0,0,0,1,0,0,0], [0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]])
|
| 106 |
+
self.kf.H = np.array([[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0]])
|
| 107 |
+
|
| 108 |
+
self.kf.R[2:,2:] *= 10.
|
| 109 |
+
self.kf.P[4:,4:] *= 1000. #give high uncertainty to the unobservable initial velocities
|
| 110 |
+
self.kf.P *= 10.
|
| 111 |
+
self.kf.Q[-1,-1] *= 0.01
|
| 112 |
+
self.kf.Q[4:,4:] *= 0.01
|
| 113 |
+
|
| 114 |
+
self.kf.x[:4] = convert_bbox_to_z(bbox)
|
| 115 |
+
self.time_since_update = 0
|
| 116 |
+
self.id = KalmanBoxTracker.count
|
| 117 |
+
KalmanBoxTracker.count += 1
|
| 118 |
+
self.history = []
|
| 119 |
+
self.hits = 0
|
| 120 |
+
self.hit_streak = 0
|
| 121 |
+
self.age = 0
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| 122 |
+
|
| 123 |
+
def update(self,bbox):
|
| 124 |
+
"""
|
| 125 |
+
Updates the state vector with observed bbox.
|
| 126 |
+
"""
|
| 127 |
+
self.time_since_update = 0
|
| 128 |
+
self.history = []
|
| 129 |
+
self.hits += 1
|
| 130 |
+
self.hit_streak += 1
|
| 131 |
+
self.kf.update(convert_bbox_to_z(bbox))
|
| 132 |
+
|
| 133 |
+
def predict(self):
|
| 134 |
+
"""
|
| 135 |
+
Advances the state vector and returns the predicted bounding box estimate.
|
| 136 |
+
"""
|
| 137 |
+
if((self.kf.x[6]+self.kf.x[2])<=0):
|
| 138 |
+
self.kf.x[6] *= 0.0
|
| 139 |
+
self.kf.predict()
|
| 140 |
+
self.age += 1
|
| 141 |
+
if(self.time_since_update>0):
|
| 142 |
+
self.hit_streak = 0
|
| 143 |
+
self.time_since_update += 1
|
| 144 |
+
self.history.append(convert_x_to_bbox(self.kf.x))
|
| 145 |
+
return self.history[-1]
|
| 146 |
+
|
| 147 |
+
def get_state(self):
|
| 148 |
+
"""
|
| 149 |
+
Returns the current bounding box estimate.
|
| 150 |
+
"""
|
| 151 |
+
return convert_x_to_bbox(self.kf.x)
|
| 152 |
+
|
| 153 |
+
|
| 154 |
+
def associate_detections_to_trackers(detections,trackers,iou_threshold = 0.3):
|
| 155 |
+
"""
|
| 156 |
+
Assigns detections to tracked object (both represented as bounding boxes)
|
| 157 |
+
|
| 158 |
+
Returns 3 lists of matches, unmatched_detections and unmatched_trackers
|
| 159 |
+
"""
|
| 160 |
+
if(len(trackers)==0):
|
| 161 |
+
return np.empty((0,2),dtype=int), np.arange(len(detections)), np.empty((0,5),dtype=int)
|
| 162 |
+
|
| 163 |
+
iou_matrix = iou_batch(detections, trackers)
|
| 164 |
+
|
| 165 |
+
if min(iou_matrix.shape) > 0:
|
| 166 |
+
a = (iou_matrix > iou_threshold).astype(np.int32)
|
| 167 |
+
if a.sum(1).max() == 1 and a.sum(0).max() == 1:
|
| 168 |
+
matched_indices = np.stack(np.where(a), axis=1)
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| 169 |
+
else:
|
| 170 |
+
matched_indices = linear_assignment(-iou_matrix)
|
| 171 |
+
else:
|
| 172 |
+
matched_indices = np.empty(shape=(0,2))
|
| 173 |
+
|
| 174 |
+
unmatched_detections = []
|
| 175 |
+
for d, det in enumerate(detections):
|
| 176 |
+
if(d not in matched_indices[:,0]):
|
| 177 |
+
unmatched_detections.append(d)
|
| 178 |
+
unmatched_trackers = []
|
| 179 |
+
for t, trk in enumerate(trackers):
|
| 180 |
+
if(t not in matched_indices[:,1]):
|
| 181 |
+
unmatched_trackers.append(t)
|
| 182 |
+
|
| 183 |
+
#filter out matched with low IOU
|
| 184 |
+
matches = []
|
| 185 |
+
for m in matched_indices:
|
| 186 |
+
if(iou_matrix[m[0], m[1]]<iou_threshold):
|
| 187 |
+
unmatched_detections.append(m[0])
|
| 188 |
+
unmatched_trackers.append(m[1])
|
| 189 |
+
else:
|
| 190 |
+
matches.append(m.reshape(1,2))
|
| 191 |
+
if(len(matches)==0):
|
| 192 |
+
matches = np.empty((0,2),dtype=int)
|
| 193 |
+
else:
|
| 194 |
+
matches = np.concatenate(matches,axis=0)
|
| 195 |
+
|
| 196 |
+
return matches, np.array(unmatched_detections), np.array(unmatched_trackers)
|
| 197 |
+
|
| 198 |
+
|
| 199 |
+
class Sort(object):
|
| 200 |
+
def __init__(self, max_age=1, min_hits=3, iou_threshold=0.3):
|
| 201 |
+
"""
|
| 202 |
+
Sets key parameters for SORT
|
| 203 |
+
"""
|
| 204 |
+
self.max_age = max_age
|
| 205 |
+
self.min_hits = min_hits
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| 206 |
+
self.iou_threshold = iou_threshold
|
| 207 |
+
self.trackers = []
|
| 208 |
+
self.frame_count = 0
|
| 209 |
+
|
| 210 |
+
def update(self, dets=np.empty((0, 5))):
|
| 211 |
+
"""
|
| 212 |
+
Params:
|
| 213 |
+
dets - a numpy array of detections in the format [[x1,y1,x2,y2,score],[x1,y1,x2,y2,score],...]
|
| 214 |
+
Requires: this method must be called once for each frame even with empty detections (use np.empty((0, 5)) for frames without detections).
|
| 215 |
+
Returns the a similar array, where the last column is the object ID.
|
| 216 |
+
|
| 217 |
+
NOTE: The number of objects returned may differ from the number of detections provided.
|
| 218 |
+
"""
|
| 219 |
+
self.frame_count += 1
|
| 220 |
+
# get predicted locations from existing trackers.
|
| 221 |
+
trks = np.zeros((len(self.trackers), 5))
|
| 222 |
+
to_del = []
|
| 223 |
+
ret = []
|
| 224 |
+
for t, trk in enumerate(trks):
|
| 225 |
+
pos = self.trackers[t].predict()[0]
|
| 226 |
+
trk[:] = [pos[0], pos[1], pos[2], pos[3], 0]
|
| 227 |
+
if np.any(np.isnan(pos)):
|
| 228 |
+
to_del.append(t)
|
| 229 |
+
trks = np.ma.compress_rows(np.ma.masked_invalid(trks))
|
| 230 |
+
for t in reversed(to_del):
|
| 231 |
+
self.trackers.pop(t)
|
| 232 |
+
matched, unmatched_dets, unmatched_trks = associate_detections_to_trackers(dets,trks, self.iou_threshold)
|
| 233 |
+
|
| 234 |
+
# update matched trackers with assigned detections
|
| 235 |
+
for m in matched:
|
| 236 |
+
self.trackers[m[1]].update(dets[m[0], :])
|
| 237 |
+
|
| 238 |
+
# create and initialise new trackers for unmatched detections
|
| 239 |
+
for i in unmatched_dets:
|
| 240 |
+
trk = KalmanBoxTracker(dets[i,:])
|
| 241 |
+
self.trackers.append(trk)
|
| 242 |
+
i = len(self.trackers)
|
| 243 |
+
for trk in reversed(self.trackers):
|
| 244 |
+
d = trk.get_state()[0]
|
| 245 |
+
if (trk.time_since_update < 1) and (trk.hit_streak >= self.min_hits or self.frame_count <= self.min_hits):
|
| 246 |
+
ret.append(np.concatenate((d,[trk.id+1])).reshape(1,-1)) # +1 as MOT benchmark requires positive
|
| 247 |
+
i -= 1
|
| 248 |
+
# remove dead tracklet
|
| 249 |
+
if(trk.time_since_update > self.max_age):
|
| 250 |
+
self.trackers.pop(i)
|
| 251 |
+
if(len(ret)>0):
|
| 252 |
+
return np.concatenate(ret)
|
| 253 |
+
return np.empty((0,5))
|
| 254 |
+
|
| 255 |
+
def parse_args():
|
| 256 |
+
"""Parse input arguments."""
|
| 257 |
+
parser = argparse.ArgumentParser(description='SORT demo')
|
| 258 |
+
parser.add_argument('--display', dest='display', help='Display online tracker output (slow) [False]',action='store_true')
|
| 259 |
+
parser.add_argument("--seq_path", help="Path to detections.", type=str, default='data')
|
| 260 |
+
parser.add_argument("--phase", help="Subdirectory in seq_path.", type=str, default='train')
|
| 261 |
+
parser.add_argument("--max_age",
|
| 262 |
+
help="Maximum number of frames to keep alive a track without associated detections.",
|
| 263 |
+
type=int, default=1)
|
| 264 |
+
parser.add_argument("--min_hits",
|
| 265 |
+
help="Minimum number of associated detections before track is initialised.",
|
| 266 |
+
type=int, default=3)
|
| 267 |
+
parser.add_argument("--iou_threshold", help="Minimum IOU for match.", type=float, default=0.3)
|
| 268 |
+
args = parser.parse_args()
|
| 269 |
+
return args
|
| 270 |
+
|
| 271 |
+
if __name__ == '__main__':
|
| 272 |
+
# all train
|
| 273 |
+
args = parse_args()
|
| 274 |
+
display = args.display
|
| 275 |
+
phase = args.phase
|
| 276 |
+
total_time = 0.0
|
| 277 |
+
total_frames = 0
|
| 278 |
+
colours = np.random.rand(32, 3) #used only for display
|
| 279 |
+
if(display):
|
| 280 |
+
if not os.path.exists('mot_benchmark'):
|
| 281 |
+
print('\n\tERROR: mot_benchmark link not found!\n\n Create a symbolic link to the MOT benchmark\n (https://motchallenge.net/data/2D_MOT_2015/#download). E.g.:\n\n $ ln -s /path/to/MOT2015_challenge/2DMOT2015 mot_benchmark\n\n')
|
| 282 |
+
exit()
|
| 283 |
+
plt.ion()
|
| 284 |
+
fig = plt.figure()
|
| 285 |
+
ax1 = fig.add_subplot(111, aspect='equal')
|
| 286 |
+
|
| 287 |
+
if not os.path.exists('output'):
|
| 288 |
+
os.makedirs('output')
|
| 289 |
+
pattern = os.path.join(args.seq_path, phase, '*', 'det', 'det.txt')
|
| 290 |
+
for seq_dets_fn in glob.glob(pattern):
|
| 291 |
+
mot_tracker = Sort(max_age=args.max_age,
|
| 292 |
+
min_hits=args.min_hits,
|
| 293 |
+
iou_threshold=args.iou_threshold) #create instance of the SORT tracker
|
| 294 |
+
seq_dets = np.loadtxt(seq_dets_fn, delimiter=',')
|
| 295 |
+
seq = seq_dets_fn[pattern.find('*'):].split(os.path.sep)[0]
|
| 296 |
+
|
| 297 |
+
with open(os.path.join('output', '%s.txt'%(seq)),'w') as out_file:
|
| 298 |
+
print("Processing %s."%(seq))
|
| 299 |
+
for frame in range(int(seq_dets[:,0].max())):
|
| 300 |
+
frame += 1 #detection and frame numbers begin at 1
|
| 301 |
+
dets = seq_dets[seq_dets[:, 0]==frame, 2:7]
|
| 302 |
+
dets[:, 2:4] += dets[:, 0:2] #convert to [x1,y1,w,h] to [x1,y1,x2,y2]
|
| 303 |
+
total_frames += 1
|
| 304 |
+
|
| 305 |
+
if(display):
|
| 306 |
+
fn = os.path.join('mot_benchmark', phase, seq, 'img1', '%06d.jpg'%(frame))
|
| 307 |
+
im =io.imread(fn)
|
| 308 |
+
ax1.imshow(im)
|
| 309 |
+
plt.title(seq + ' Tracked Targets')
|
| 310 |
+
|
| 311 |
+
start_time = time.time()
|
| 312 |
+
trackers = mot_tracker.update(dets)
|
| 313 |
+
cycle_time = time.time() - start_time
|
| 314 |
+
total_time += cycle_time
|
| 315 |
+
|
| 316 |
+
for d in trackers:
|
| 317 |
+
print('%d,%d,%.2f,%.2f,%.2f,%.2f,1,-1,-1,-1'%(frame,d[4],d[0],d[1],d[2]-d[0],d[3]-d[1]),file=out_file)
|
| 318 |
+
if(display):
|
| 319 |
+
d = d.astype(np.int32)
|
| 320 |
+
ax1.add_patch(patches.Rectangle((d[0],d[1]),d[2]-d[0],d[3]-d[1],fill=False,lw=3,ec=colours[d[4]%32,:]))
|
| 321 |
+
|
| 322 |
+
if(display):
|
| 323 |
+
fig.canvas.flush_events()
|
| 324 |
+
plt.draw()
|
| 325 |
+
ax1.cla()
|
| 326 |
+
|
| 327 |
+
print("Total Tracking took: %.3f seconds for %d frames or %.1f FPS" % (total_time, total_frames, total_frames / total_time))
|
| 328 |
+
|
| 329 |
+
if(display):
|
| 330 |
+
print("Note: to get real runtime results run without the option: --display")
|