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ByteTrack-inspired Face Tracker for temporal stability in video.
ByteTrack (Zhang et al., 2022) key insight: use ALL detection boxes
(high + low confidence) for association, not just high-confidence ones.
Low-confidence detections are valuable for tracking occluded/blurred faces.
Flow:
1. High-confidence detections → match to existing tracks (IoU + Kalman)
2. Unmatched tracks + low-confidence detections → second matching round
3. Remaining unmatched high-confidence → initialize new tracks
4. Unmatched tracks → mark lost → delete after max_lost frames
Kalman state: [x_center, y_center, aspect_ratio, height, vx, vy, va, vh]
"""
import numpy as np
from typing import List, Tuple, Optional, Dict
from dataclasses import dataclass, field
class KalmanBoxTracker:
"""
Kalman filter for bounding box tracking.
State vector: [cx, cy, s, r, vcx, vcy, vs, vr]
where s = area, r = aspect ratio (w/h)
Measurement: [cx, cy, s, r]
"""
_count = 0
def __init__(self, bbox: np.ndarray):
"""Initialize tracker with bounding box [x1, y1, x2, y2]."""
# State: [cx, cy, s, r, vcx, vcy, vs, vr]
self.dim_x = 8
self.dim_z = 4
# State vector
self.x = np.zeros(self.dim_x)
cx = (bbox[0] + bbox[2]) / 2
cy = (bbox[1] + bbox[3]) / 2
w = bbox[2] - bbox[0]
h = bbox[3] - bbox[1]
self.x[0] = cx
self.x[1] = cy
self.x[2] = w * h # area
self.x[3] = w / max(h, 1e-6) # aspect ratio
# State covariance
self.P = np.eye(self.dim_x)
self.P[4:, 4:] *= 10 # High uncertainty on velocities
self.P *= 10
# Transition matrix (constant velocity)
self.F = np.eye(self.dim_x)
self.F[0, 4] = 1 # cx += vcx
self.F[1, 5] = 1 # cy += vcy
self.F[2, 6] = 1 # s += vs
self.F[3, 7] = 1 # r += vr
# Measurement matrix
self.H = np.zeros((self.dim_z, self.dim_x))
self.H[:4, :4] = np.eye(4)
# Process noise
self.Q = np.eye(self.dim_x) * 0.01
self.Q[4:, 4:] *= 0.01
# Measurement noise
self.R = np.eye(self.dim_z) * 1.0
KalmanBoxTracker._count += 1
self.id = KalmanBoxTracker._count
self.age = 0
self.hits = 0
self.time_since_update = 0
def predict(self) -> np.ndarray:
"""Predict next state. Returns predicted bbox [x1, y1, x2, y2]."""
# Prevent negative area
if self.x[2] + self.x[6] <= 0:
self.x[6] = 0
# Kalman predict
self.x = self.F @ self.x
self.P = self.F @ self.P @ self.F.T + self.Q
self.age += 1
self.time_since_update += 1
return self._state_to_bbox()
def update(self, bbox: np.ndarray):
"""Update state with measurement [x1, y1, x2, y2]."""
cx = (bbox[0] + bbox[2]) / 2
cy = (bbox[1] + bbox[3]) / 2
w = bbox[2] - bbox[0]
h = bbox[3] - bbox[1]
z = np.array([cx, cy, w * h, w / max(h, 1e-6)])
# Kalman update
y = z - self.H @ self.x
S = self.H @ self.P @ self.H.T + self.R
K = self.P @ self.H.T @ np.linalg.inv(S)
self.x = self.x + K @ y
self.P = (np.eye(self.dim_x) - K @ self.H) @ self.P
self.hits += 1
self.time_since_update = 0
def _state_to_bbox(self) -> np.ndarray:
"""Convert state [cx, cy, s, r] to bbox [x1, y1, x2, y2]."""
cx, cy, s, r = self.x[:4]
s = max(s, 1)
w = np.sqrt(s * r)
h = s / max(w, 1e-6)
return np.array([cx - w/2, cy - h/2, cx + w/2, cy + h/2])
def get_state(self) -> np.ndarray:
"""Get current bbox estimate."""
return self._state_to_bbox()
@dataclass
class Track:
"""Single face track."""
track_id: int
bbox: np.ndarray # Current bounding box [x1, y1, x2, y2]
score: float # Detection confidence
age: int = 0 # Frames since track creation
hits: int = 0 # Total detection associations
time_since_update: int = 0
is_confirmed: bool = False
landmarks: Optional[np.ndarray] = None
class ByteTracker:
"""
ByteTrack face tracker for video temporal stability.
Features:
- Two-stage association (high + low confidence)
- Kalman filter prediction for smooth trajectories
- Track lifecycle management (init, confirm, lose, delete)
- IoU-based association (no appearance features needed for faces)
Args:
high_thresh: High detection confidence threshold (default: 0.5)
low_thresh: Low detection confidence threshold (default: 0.1)
match_thresh: IoU threshold for association (default: 0.3)
max_lost: Frames before deleting lost tracks (default: 30)
min_hits: Detections needed to confirm a track (default: 3)
"""
def __init__(self,
high_thresh: float = 0.5,
low_thresh: float = 0.1,
match_thresh: float = 0.3,
max_lost: int = 30,
min_hits: int = 3):
self.high_thresh = high_thresh
self.low_thresh = low_thresh
self.match_thresh = match_thresh
self.max_lost = max_lost
self.min_hits = min_hits
self.tracks: List[KalmanBoxTracker] = []
self.track_scores: Dict[int, float] = {}
self.frame_count = 0
def update(self, detections: np.ndarray, scores: np.ndarray,
landmarks: Optional[np.ndarray] = None) -> List[Track]:
"""
Update tracker with new detections.
Args:
detections: [N, 4] bounding boxes (x1, y1, x2, y2)
scores: [N] confidence scores
landmarks: [N, 10] optional landmarks
Returns:
List of active Track objects with stable IDs
"""
self.frame_count += 1
# Split into high and low confidence
high_mask = scores >= self.high_thresh
low_mask = (scores >= self.low_thresh) & (~high_mask)
high_dets = detections[high_mask]
high_scores = scores[high_mask]
low_dets = detections[low_mask]
low_scores = scores[low_mask]
high_lmk = landmarks[high_mask] if landmarks is not None else None
low_lmk = landmarks[low_mask] if landmarks is not None else None
# Predict existing tracks
predicted_boxes = []
for t in self.tracks:
pred = t.predict()
predicted_boxes.append(pred)
predicted_boxes = np.array(predicted_boxes) if predicted_boxes else np.empty((0, 4))
# === First association: high-confidence detections ===
if len(self.tracks) > 0 and len(high_dets) > 0:
iou_matrix = self._iou_batch(predicted_boxes, high_dets)
matches_h, unmatched_tracks_h, unmatched_dets_h = \
self._hungarian_match(iou_matrix, self.match_thresh)
else:
matches_h = np.empty((0, 2), dtype=int)
unmatched_tracks_h = list(range(len(self.tracks)))
unmatched_dets_h = list(range(len(high_dets)))
# Update matched tracks
for t_idx, d_idx in matches_h:
self.tracks[t_idx].update(high_dets[d_idx])
self.track_scores[self.tracks[t_idx].id] = high_scores[d_idx]
# === Second association: low-confidence detections with remaining tracks ===
remaining_tracks = [self.tracks[i] for i in unmatched_tracks_h]
if len(remaining_tracks) > 0 and len(low_dets) > 0:
remaining_preds = np.array([t.get_state() for t in remaining_tracks])
iou_matrix_l = self._iou_batch(remaining_preds, low_dets)
matches_l, unmatched_tracks_l, _ = \
self._hungarian_match(iou_matrix_l, self.match_thresh)
for t_local, d_idx in matches_l:
remaining_tracks[t_local].update(low_dets[d_idx])
self.track_scores[remaining_tracks[t_local].id] = low_scores[d_idx]
else:
unmatched_tracks_l = list(range(len(remaining_tracks)))
# === Initialize new tracks from unmatched high-confidence detections ===
for d_idx in unmatched_dets_h:
new_tracker = KalmanBoxTracker(high_dets[d_idx])
self.tracks.append(new_tracker)
self.track_scores[new_tracker.id] = high_scores[d_idx]
# === Remove lost tracks ===
active_tracks = []
for t in self.tracks:
if t.time_since_update <= self.max_lost:
active_tracks.append(t)
self.tracks = active_tracks
# === Build output ===
results = []
for t in self.tracks:
if t.hits >= self.min_hits or self.frame_count <= self.min_hits:
bbox = t.get_state()
score = self.track_scores.get(t.id, 0.5)
track = Track(
track_id=t.id,
bbox=bbox,
score=score,
age=t.age,
hits=t.hits,
time_since_update=t.time_since_update,
is_confirmed=(t.hits >= self.min_hits),
)
results.append(track)
return results
@staticmethod
def _iou_batch(boxes1: np.ndarray, boxes2: np.ndarray) -> np.ndarray:
"""Compute IoU matrix between two sets of boxes."""
x1 = np.maximum(boxes1[:, 0:1], boxes2[:, 0:1].T)
y1 = np.maximum(boxes1[:, 1:2], boxes2[:, 1:2].T)
x2 = np.minimum(boxes1[:, 2:3], boxes2[:, 2:3].T)
y2 = np.minimum(boxes1[:, 3:4], boxes2[:, 3:4].T)
inter = np.maximum(0, x2 - x1) * np.maximum(0, y2 - y1)
area1 = (boxes1[:, 2] - boxes1[:, 0]) * (boxes1[:, 3] - boxes1[:, 1])
area2 = (boxes2[:, 2] - boxes2[:, 0]) * (boxes2[:, 3] - boxes2[:, 1])
union = area1[:, None] + area2[None, :] - inter
return inter / (union + 1e-6)
@staticmethod
def _hungarian_match(iou_matrix: np.ndarray, threshold: float):
"""Greedy matching by IoU (fast approximation of Hungarian algorithm)."""
matches = []
unmatched_rows = list(range(iou_matrix.shape[0]))
unmatched_cols = list(range(iou_matrix.shape[1]))
if iou_matrix.size == 0:
return np.empty((0, 2), dtype=int), unmatched_rows, unmatched_cols
# Greedy: take highest IoU pairs iteratively
while True:
if iou_matrix.size == 0:
break
max_idx = np.unravel_index(iou_matrix.argmax(), iou_matrix.shape)
if iou_matrix[max_idx] < threshold:
break
row, col = max_idx
matches.append([unmatched_rows[row], unmatched_cols[col]])
# Remove matched row and col
iou_matrix = np.delete(iou_matrix, row, axis=0)
iou_matrix = np.delete(iou_matrix, col, axis=1)
unmatched_rows.pop(row)
unmatched_cols.pop(col)
return (np.array(matches) if matches else np.empty((0, 2), dtype=int),
unmatched_rows, unmatched_cols)
def reset(self):
"""Reset tracker state."""
self.tracks.clear()
self.track_scores.clear()
self.frame_count = 0
KalmanBoxTracker._count = 0
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