Files
inference_uav_rk3588/ultralytics/trackers/sot_tracker.py
T
2026-07-03 08:16:47 +00:00

679 lines
28 KiB
Python

# Ultralytics YOLO 🚀, AGPL-3.0 license
import numpy as np
import math
from ..utils import LOGGER
from ..utils.ops import xywh2ltwh, xywh2xyxy
from .basetrack import BaseTrack, TrackState
from .utils import matching
from .utils.kalman_filter import KalmanFilterXYAH
class STrack(BaseTrack):
"""
Single object tracking representation that uses Kalman filtering for state estimation.
This class is responsible for storing all the information regarding individual tracklets and performs state updates
and predictions based on Kalman filter.
Attributes:
shared_kalman (KalmanFilterXYAH): Shared Kalman filter that is used across all STrack instances for prediction.
_tlwh (np.ndarray): Private attribute to store top-left corner coordinates and width and height of bounding box.
kalman_filter (KalmanFilterXYAH): Instance of Kalman filter used for this particular object track.
mean (np.ndarray): Mean state estimate vector.
covariance (np.ndarray): Covariance of state estimate.
is_activated (bool): Boolean flag indicating if the track has been activated.
score (float): Confidence score of the track.
tracklet_len (int): Length of the tracklet.
cls (any): Class label for the object.
idx (int): Index or identifier for the object.
frame_id (int): Current frame ID.
start_frame (int): Frame where the object was first detected.
Methods:
predict(): Predict the next state of the object using Kalman filter.
multi_predict(stracks): Predict the next states for multiple tracks.
multi_gmc(stracks, H): Update multiple track states using a homography matrix.
activate(kalman_filter, frame_id): Activate a new tracklet.
re_activate(new_track, frame_id, new_id): Reactivate a previously lost tracklet.
update(new_track, frame_id): Update the state of a matched track.
convert_coords(tlwh): Convert bounding box to x-y-aspect-height format.
tlwh_to_xyah(tlwh): Convert tlwh bounding box to xyah format.
"""
shared_kalman = KalmanFilterXYAH()
def __init__(self, xywh, score, cls):
"""Initialize new STrack instance."""
super().__init__()
# xywh+idx or xywha+idx
assert len(xywh) in {5, 6}, f"expected 5 or 6 values but got {len(xywh)}"
self._tlwh = np.asarray(xywh2ltwh(xywh[:4]), dtype=np.float32)
self.kalman_filter = None
self.mean, self.covariance = None, None
self.is_activated = False
self.score = score
self.tracklet_len = 0
self.cls = cls
self.idx = xywh[-1]
self.angle = xywh[4] if len(xywh) == 6 else None
self.det = np.asarray(xywh2xyxy(xywh[:4]), dtype=np.float32)
self.recent_scores = [] # 用于存储最近10次的score
self.recent_scores.append(self.score)
self.tracklet_len_score = self.score
def predict(self):
"""Predicts mean and covariance using Kalman filter."""
mean_state = self.mean.copy()
if self.state != TrackState.Tracked:
mean_state[7] = 0
self.mean, self.covariance = self.kalman_filter.predict(mean_state, self.covariance)
def prior_predict(self):
"""Predicts mean and covariance using Kalman filter."""
mean_state = self.mean.copy()
if self.state != TrackState.Tracked:
return None
mean, covariance = self.kalman_filter.predict(mean_state, self.covariance)
return mean
@staticmethod
def multi_predict(stracks):
"""Perform multi-object predictive tracking using Kalman filter for given stracks."""
if len(stracks) <= 0:
return
multi_mean = np.asarray([st.mean.copy() for st in stracks])
multi_covariance = np.asarray([st.covariance for st in stracks])
for i, st in enumerate(stracks):
if st.state != TrackState.Tracked:
multi_mean[i][7] = 0
multi_mean, multi_covariance = STrack.shared_kalman.multi_predict(multi_mean, multi_covariance)
for i, (mean, cov) in enumerate(zip(multi_mean, multi_covariance)):
stracks[i].mean = mean
stracks[i].covariance = cov
@staticmethod
def multi_gmc(stracks, H=np.eye(2, 3)):
"""Update state tracks positions and covariances using a homography matrix."""
if len(stracks) > 0:
multi_mean = np.asarray([st.mean.copy() for st in stracks])
multi_covariance = np.asarray([st.covariance for st in stracks])
R = H[:2, :2]
R8x8 = np.kron(np.eye(4, dtype=float), R)
t = H[:2, 2]
for i, (mean, cov) in enumerate(zip(multi_mean, multi_covariance)):
mean = R8x8.dot(mean)
mean[:2] += t
cov = R8x8.dot(cov).dot(R8x8.transpose())
stracks[i].mean = mean
stracks[i].covariance = cov
def activate(self, kalman_filter, frame_id):
"""Start a new tracklet."""
self.kalman_filter = kalman_filter
self.track_id = self.next_id()
self.mean, self.covariance = self.kalman_filter.initiate(self.convert_coords(self._tlwh))
self.tracklet_len = 0
self.state = TrackState.Tracked
if frame_id == 1:
self.is_activated = True
self.frame_id = frame_id
self.start_frame = frame_id
def re_activate(self, new_track, frame_id, new_id=False):
"""Reactivates a previously lost track with a new detection."""
self.mean, self.covariance = self.kalman_filter.update(
self.mean, self.covariance, self.convert_coords(new_track.tlwh)
)
self.tracklet_len = 0
self.state = TrackState.Tracked
self.is_activated = True
self.frame_id = frame_id
if new_id:
self.track_id = self.next_id()
self.score = new_track.score
self.cls = new_track.cls
self.angle = new_track.angle
self.idx = new_track.idx
self.det = new_track.xyxy
self.recent_scores = [] # re clear
self.recent_scores.append(self.score)
self.tracklet_len_score = self.score
def update(self, new_track, frame_id):
"""
Update the state of a matched track.
Args:
new_track (STrack): The new track containing updated information.
frame_id (int): The ID of the current frame.
"""
self.frame_id = frame_id
self.tracklet_len += 1
new_tlwh = new_track.tlwh
self.mean, self.covariance = self.kalman_filter.update(
self.mean, self.covariance, self.convert_coords(new_tlwh)
)
self.state = TrackState.Tracked
self.is_activated = True
self.score = new_track.score
self.cls = new_track.cls
self.angle = new_track.angle
self.idx = new_track.idx
self.det = new_track.xyxy
self.recent_scores.append(self.score)
if len(self.recent_scores) > 10:
self.recent_scores.pop(0)
self.tracklet_len_score = sum(self.recent_scores)
def update_simi(self, new_track, frame_id):
"""
Update the state of a matched track.
Args:
new_track (STrack): The new track containing updated information.
frame_id (int): The ID of the current frame.
"""
self.frame_id = frame_id
self.tracklet_len += 1
# 认为存在突变
new_tlwh = new_track.tlwh
self.mean, self.covariance = self.kalman_filter.initiate(self.convert_coords(new_tlwh))
self.state = TrackState.Tracked
self.is_activated = True
self.score = new_track.score
self.cls = new_track.cls
self.angle = new_track.angle
self.idx = new_track.idx
self.det = new_track.xyxy
self.recent_scores.append(self.score)
if len(self.recent_scores) > 10:
self.recent_scores.pop(0)
self.tracklet_len_score = sum(self.recent_scores)
def convert_coords(self, tlwh):
"""Convert a bounding box's top-left-width-height format to its x-y-aspect-height equivalent."""
return self.tlwh_to_xyah(tlwh)
@property
def tlwh(self):
"""Get current position in bounding box format (top left x, top left y, width, height)."""
if self.mean is None:
return self._tlwh.copy()
ret = self.mean[:4].copy()
ret[2] *= ret[3]
ret[:2] -= ret[2:] / 2
return ret
@property
def xyxy(self):
"""Convert bounding box to format (min x, min y, max x, max y), i.e., (top left, bottom right)."""
ret = self.tlwh.copy()
ret[2:] += ret[:2]
return ret
@staticmethod
def tlwh_to_xyah(tlwh):
"""Convert bounding box to format (center x, center y, aspect ratio, height), where the aspect ratio is width /
height.
"""
ret = np.asarray(tlwh).copy()
ret[:2] += ret[2:] / 2
ret[2] /= ret[3]
return ret
@property
def xywh(self):
"""Get current position in bounding box format (center x, center y, width, height)."""
ret = np.asarray(self.tlwh).copy()
ret[:2] += ret[2:] / 2
return ret
@property
def xywha(self):
"""Get current position in bounding box format (center x, center y, width, height, angle)."""
if self.angle is None:
LOGGER.warning("WARNING ⚠️ `angle` attr not found, returning `xywh` instead.")
return self.xywh
return np.concatenate([self.xywh, self.angle[None]])
@property
def result(self):
"""Get current tracking results."""
coords = self.xyxy if self.angle is None else self.xywha
return coords.tolist() + [self.track_id, self.score, self.cls, self.idx]
def __repr__(self):
"""Return a string representation of the SOTTracker object with start and end frames and track ID."""
return f"OT_{self.track_id}_({self.start_frame}-{self.end_frame})"
class SOTTracker:
"""
SOTTracker: A tracking algorithm built on top of YOLOv8 for object detection and tracking.
The class is responsible for initializing, updating, and managing the tracks for detected objects in a video
sequence. It maintains the state of tracked, lost, and removed tracks over frames, utilizes Kalman filtering for
predicting the new object locations, and performs data association.
Attributes:
tracked_stracks (list[STrack]): List of successfully activated tracks.
lost_stracks (list[STrack]): List of lost tracks.
removed_stracks (list[STrack]): List of removed tracks.
frame_id (int): The current frame ID.
args (namespace): Command-line arguments.
max_time_lost (int): The maximum frames for a track to be considered as 'lost'.
kalman_filter (object): Kalman Filter object.
Methods:
update(results, img=None): Updates object tracker with new detections.
get_kalmanfilter(): Returns a Kalman filter object for tracking bounding boxes.
init_track(dets, scores, cls, img=None): Initialize object tracking with detections.
get_dists(tracks, detections): Calculates the distance between tracks and detections.
multi_predict(tracks): Predicts the location of tracks.
reset_id(): Resets the ID counter of STrack.
joint_stracks(tlista, tlistb): Combines two lists of stracks.
sub_stracks(tlista, tlistb): Filters out the stracks present in the second list from the first list.
remove_duplicate_stracks(stracksa, stracksb): Removes duplicate stracks based on IoU.
"""
def __init__(self, args, frame_rate=30):
"""Initialize a YOLOv8 object to track objects with given arguments and frame rate."""
self.tracked_stracks = [] # type: list[STrack]
self.lost_stracks = [] # type: list[STrack]
self.removed_stracks = [] # type: list[STrack]
self.frame_id = 0
self.args = args
self.max_time_lost = int(frame_rate / 30.0 * args.track_buffer)
self.kalman_filter = self.get_kalmanfilter()
self.reset_id()
self.prior_strack = None
def update(self, results, img=None):
"""Updates object tracker with new detections and returns tracked object bounding boxes."""
self.frame_id += 1
self.prior_strack = None
activated_stracks = []
refind_stracks = []
lost_stracks = []
removed_stracks = []
scores = results.conf
bboxes = results.xywhr if hasattr(results, "xywhr") else results.xywh
# Add index
bboxes = np.concatenate([bboxes, np.arange(len(bboxes)).reshape(-1, 1)], axis=-1)
cls = results.cls
# if scores[0] < 0.1: # note:当box为0时IOU为1
# return np.asarray([])
# Add newly detected tracklets to tracked_stracks
unconfirmed = []
tracked_stracks = [] # type: list[STrack]
for track in self.tracked_stracks:
if not track.is_activated:
unconfirmed.append(track)
else:
tracked_stracks.append(track)
strack_pool = self.joint_stracks(tracked_stracks, self.lost_stracks)
# Predict the current location with KF
self.multi_predict(strack_pool) # important for correct state
if hasattr(self, "gmc") and img is not None:
warp = self.gmc.apply(img, dets)
STrack.multi_gmc(strack_pool, warp)
STrack.multi_gmc(unconfirmed, warp)
# step 000 for sot
prior_strack = None
prior_update_id = -1
candidate_det = None
len_max = 0
# 寻找优势目标
# 优先在激活目标中寻找
for track in self.tracked_stracks:
if track.tracklet_len_score > max(len_max, 5):
prior_strack = track
len_max = track.tracklet_len_score
# 没有则在短时丢失目标中寻找
if prior_strack is None:
for track in self.lost_stracks:
if track.tracklet_len_score > max(len_max, 5):
prior_strack = track
len_max = track.tracklet_len_score
# 存在优势目标后进行匹配
if prior_strack is not None:
sot_detections = self.init_track(bboxes, scores, cls, img)
simi_dists = self.get_simi_dists([prior_strack], sot_detections)
iou_dists = matching.iou_distance([prior_strack], sot_detections)
# idet = np.argmax(iou_dists)
# if iou_dists[0, idet] > 0.5: # note:当box为0时IOU为1
# prior_strack.update(sot_detections[idet], self.frame_id)
# activated_stracks.append(prior_strack)
# prior_update_id = idet
# elif simi_dists.max() > 0.6: # IOU计算替换:
# # 置信度较高则直接更新
# if sot_detections[idet].score > 0.3:
# prior_strack.update_simi(sot_detections[idet], self.frame_id)
# activated_stracks.append(prior_strack)
# prior_update_id = idet
# # 置信度较低则采用更严格匹配
# else:
# candidate_det = sot_detections[idet] # track_id
# candidate_det.track_id = prior_strack.track_id
idet = np.argmax(simi_dists)
if simi_dists.max() > 0.6: # IOU计算替换
# 置信度较高则直接更新
if iou_dists[0, idet] > 0.5:
prior_strack.update(sot_detections[idet], self.frame_id)
activated_stracks.append(prior_strack)
prior_update_id = idet
else:
if sot_detections[idet].score > 0.2: # 0.3
prior_strack.update_simi(sot_detections[idet], self.frame_id)
activated_stracks.append(prior_strack)
prior_update_id = idet
# 置信度较低则采用更严格匹配
else:
candidate_det = sot_detections[idet] # track_id
candidate_det.track_id = prior_strack.track_id
if prior_update_id != -1:
scores[idet] = 0 # for sot
remain_inds = scores >= self.args.track_high_thresh
inds_low = scores > self.args.track_low_thresh
inds_high = scores < self.args.track_high_thresh
inds_second = inds_low & inds_high
dets_second = bboxes[inds_second]
dets = bboxes[remain_inds]
scores_keep = scores[remain_inds]
scores_second = scores[inds_second]
cls_keep = cls[remain_inds]
cls_second = cls[inds_second]
# Step 2: First association, with high score detection boxes
detections = self.init_track(dets, scores_keep, cls_keep, img)
if prior_update_id != -1:
strack_pool = self.sub_stracks(strack_pool, [prior_strack]) # for sot
dists = self.get_dists(strack_pool, detections)
matches, u_track, u_detection = matching.linear_assignment(dists, thresh=self.args.match_thresh)
for itracked, idet in matches:
track = strack_pool[itracked]
det = detections[idet]
if track.state == TrackState.Tracked:
track.update(det, self.frame_id)
activated_stracks.append(track)
else:
track.re_activate(det, self.frame_id, new_id=False)
refind_stracks.append(track)
# Step 3: Second association, with low score detection boxes association the untrack to the low score detections
detections_second = self.init_track(dets_second, scores_second, cls_second, img)
r_tracked_stracks = [strack_pool[i] for i in u_track if strack_pool[i].state == TrackState.Tracked]
# TODO
dists = matching.iou_distance(r_tracked_stracks, detections_second)
matches, u_track, u_detection_second = matching.linear_assignment(dists, thresh=0.5)
for itracked, idet in matches:
track = r_tracked_stracks[itracked]
det = detections_second[idet]
if track.state == TrackState.Tracked:
track.update(det, self.frame_id)
activated_stracks.append(track)
else:
track.re_activate(det, self.frame_id, new_id=False)
refind_stracks.append(track)
for it in u_track:
track = r_tracked_stracks[it]
if track.state != TrackState.Lost:
track.mark_lost()
lost_stracks.append(track)
# Deal with unconfirmed tracks, usually tracks with only one beginning frame
detections = [detections[i] for i in u_detection]
dists = self.get_dists(unconfirmed, detections)
matches, u_unconfirmed, u_detection = matching.linear_assignment(dists, thresh=0.7)
for itracked, idet in matches:
unconfirmed[itracked].update(detections[idet], self.frame_id)
activated_stracks.append(unconfirmed[itracked])
for it in u_unconfirmed:
track = unconfirmed[it]
track.mark_removed()
removed_stracks.append(track)
# Step 4: Init new stracks
for inew in u_detection:
track = detections[inew]
if track.score < self.args.new_track_thresh:
continue
track.activate(self.kalman_filter, self.frame_id)
activated_stracks.append(track)
# Step 5: Update state
for track in self.lost_stracks:
if self.frame_id - track.end_frame > self.max_time_lost:
track.mark_removed()
removed_stracks.append(track)
self.tracked_stracks = [t for t in self.tracked_stracks if t.state == TrackState.Tracked]
self.tracked_stracks = self.joint_stracks(self.tracked_stracks, activated_stracks)
self.tracked_stracks = self.joint_stracks(self.tracked_stracks, refind_stracks)
self.lost_stracks = self.sub_stracks(self.lost_stracks, self.tracked_stracks)
self.lost_stracks.extend(lost_stracks)
self.lost_stracks = self.sub_stracks(self.lost_stracks, self.removed_stracks)
self.tracked_stracks, self.lost_stracks = self.remove_duplicate_stracks(self.tracked_stracks, self.lost_stracks)
self.removed_stracks.extend(removed_stracks)
if len(self.removed_stracks) > 1000:
self.removed_stracks = self.removed_stracks[-999:] # clip remove stracks to 1000 maximum
# 当多个目标时:只输出优先目标
# 当没有可靠目标但有检测时:输出simi最相似的目标
prior_strack = None
len_max = -1
for track in self.tracked_stracks:
if track.state == TrackState.Tracked and track.tracklet_len_score > len_max:
prior_strack = track
len_max = track.tracklet_len_score
# 初始化点置信度将为0.25,按轨迹长度进行置信度分级,并采用轨迹加权以减轻一直误检影响
score_max = 0
if prior_strack is not None and prior_strack.tracklet_len_score < 1:
for track in self.tracked_stracks: #选出置信度最高
if track.state == TrackState.Tracked and track.score > score_max:
prior_strack = track
score_max = track.score
if prior_strack.score < 0.6:
prior_strack = None
if prior_strack is not None:
self.prior_strack = prior_strack
return np.asarray([prior_strack.det.tolist()+prior_strack.result[-4:]], dtype=np.float32) # result为滤波调整后
elif candidate_det is not None:
return np.asarray([candidate_det.result], dtype=np.float32)
else:
# valid_indices = np.where(scores > 0)[0]
# if valid_indices.size > 0:
# max_idx = valid_indices[np.argmax(scores[valid_indices])]
# out_det = STrack(bboxes[max_idx], scores[max_idx], cls[max_idx])
# return np.asarray([out_det.result], dtype=np.float32)
return np.asarray([])
# return np.asarray([x.result for x in self.tracked_stracks if x.is_activated], dtype=np.float32)
def prior_predict(self):
"""Returns a Kalman filter object for tracking bounding boxes."""
if self.prior_strack is not None:
return self.prior_strack.prior_predict()
return None
def multi_gmc(self, warp):
STrack.multi_gmc(self.tracked_stracks, warp)
STrack.multi_gmc(self.lost_stracks, warp)
def get_kalmanfilter(self):
"""Returns a Kalman filter object for tracking bounding boxes."""
return KalmanFilterXYAH()
def init_track(self, dets, scores, cls, img=None):
"""Initialize object tracking with detections and scores using STrack algorithm."""
return [STrack(xyxy, s, c) for (xyxy, s, c) in zip(dets, scores, cls)] if len(dets) else [] # detections
def get_dists(self, tracks, detections):
"""Calculates the distance between tracks and detections using IoU and fuses scores."""
dists = matching.iou_distance(tracks, detections)
# TODO: mot20
# if not self.args.mot20:
dists = matching.fuse_score(dists, detections)
return dists
def get_simi_dists(self, tracks, detections):
"""Calculates the distance between tracks and detections using IoU and fuses scores."""
dists = self.simi_distance(tracks, detections)
return dists
def multi_predict(self, tracks):
"""Returns the predicted tracks using the YOLOv8 network."""
STrack.multi_predict(tracks)
@staticmethod
def reset_id():
"""Resets the ID counter of STrack."""
STrack.reset_id()
def reset(self):
"""Reset tracker."""
self.tracked_stracks = [] # type: list[STrack]
self.lost_stracks = [] # type: list[STrack]
self.removed_stracks = [] # type: list[STrack]
self.frame_id = 0
self.kalman_filter = self.get_kalmanfilter()
self.reset_id()
@staticmethod
def joint_stracks(tlista, tlistb):
"""Combine two lists of stracks into a single one."""
exists = {}
res = []
for t in tlista:
exists[t.track_id] = 1
res.append(t)
for t in tlistb:
tid = t.track_id
if not exists.get(tid, 0):
exists[tid] = 1
res.append(t)
return res
@staticmethod
def sub_stracks(tlista, tlistb):
"""DEPRECATED CODE in https://github.com/ultralytics/ultralytics/pull/1890/
stracks = {t.track_id: t for t in tlista}
for t in tlistb:
tid = t.track_id
if stracks.get(tid, 0):
del stracks[tid]
return list(stracks.values())
"""
track_ids_b = {t.track_id for t in tlistb}
return [t for t in tlista if t.track_id not in track_ids_b]
@staticmethod
def remove_duplicate_stracks(stracksa, stracksb):
"""Remove duplicate stracks with non-maximum IoU distance."""
pdist = matching.iou_distance(stracksa, stracksb)
pairs = np.where(pdist < 0.15)
dupa, dupb = [], []
for p, q in zip(*pairs):
timep = stracksa[p].frame_id - stracksa[p].start_frame
timeq = stracksb[q].frame_id - stracksb[q].start_frame
if timep > timeq:
dupb.append(q)
else:
dupa.append(p)
resa = [t for i, t in enumerate(stracksa) if i not in dupa]
resb = [t for i, t in enumerate(stracksb) if i not in dupb]
return resa, resb
@staticmethod
def simi_distance(atracks: list, btracks: list) -> np.ndarray:
"""
Compute cost based on Intersection over Union (IoU) between tracks.
Args:
atracks (list[STrack] | list[np.ndarray]): List of tracks 'a' or bounding boxes.
btracks (list[STrack] | list[np.ndarray]): List of tracks 'b' or bounding boxes.
Returns:
(np.ndarray): Cost matrix computed based on IoU.
"""
if atracks and isinstance(atracks[0], np.ndarray) or btracks and isinstance(btracks[0], np.ndarray):
atlbrs = atracks
btlbrs = btracks
else:
atlbrs = [track.xywha if track.angle is not None else track.xyxy for track in atracks]
btlbrs = [track.xywha if track.angle is not None else track.xyxy for track in btracks]
simi = np.zeros((len(atlbrs), len(btlbrs)), dtype=np.float32)
if len(atlbrs) and len(btlbrs):
simi = SOTTracker.bbox_simi(
np.ascontiguousarray(atlbrs, dtype=np.float32),
np.ascontiguousarray(btlbrs, dtype=np.float32),
)
return 1 - simi # cost matrix
@staticmethod
def bbox_simi(box1, box2, eps=1e-7):
"""
Calculate the intersection over box2 area given box1 and box2. Boxes are in x1y1x2y2 format.
Args:
box1 (np.ndarray): A numpy array of shape (n, 4) representing n bounding boxes.
box2 (np.ndarray): A numpy array of shape (m, 4) representing m bounding boxes.
iou (bool): Calculate the standard IoU if True else return inter_area/box2_area.
eps (float, optional): A small value to avoid division by zero. Defaults to 1e-7.
Returns:
(np.ndarray): A numpy array of shape (n, m) representing the intersection over box2 area.
"""
# Get the coordinates of bounding boxes
b1_x1, b1_y1, b1_x2, b1_y2 = box1.T
b2_x1, b2_y1, b2_x2, b2_y2 = box2.T
cx1 = (b1_x1 + b1_x2) / 2
cy1 = (b1_y1 + b1_y2) / 2
cx2 = (b2_x1 + b2_x2) / 2
cy2 = (b2_y1 + b2_y2) / 2
w1 = b1_x2 - b1_x1
h1 = b1_y2 - b1_y1
w2 = b2_x2 - b2_x1
h2 = b2_y2 - b2_y1
cw = np.maximum(b1_x2,b2_x2) - np.minimum(b1_x1,b2_x1) # convex (smallest enclosing box) width
ch = np.maximum(b1_y2,b2_y2) - np.minimum(b1_y1,b2_y1) # convex height
# shape = abs(w1*h1-w2*h2) + abs(w1*h2-w2*h1)
# dis = (cx1 - cx2)**2 + (cy1 - cy2)**2
shape = 0.5*np.abs(w1*h1-w2*h2)/(np.maximum(w1*h1,w2*h2)+eps) + 0.5*np.abs(w1*h2-w2*h1)/(np.maximum(w1*h2,w2*h1)+eps)
dis = np.sqrt((cx1 - cx2)**2 + (cy1 - cy2)**2) / (np.sqrt(cw**2 + ch**2) + eps)
simi = shape * 0.8 + dis * 0.2
# if shape.shape[0] > 1:
# print(simi)
return simi