Update Tracker docstrings (#15469)

Signed-off-by: Glenn Jocher <glenn.jocher@ultralytics.com>
Co-authored-by: UltralyticsAssistant <web@ultralytics.com>

ultralytics/cfg/__init__.py

@@ -81,7 +81,7 @@ CLI_HELP_MSG = f"""
     5. Explore your datasets using semantic search and SQL with a simple GUI powered by Ultralytics Explorer API
         yolo explorer data=data.yaml model=yolov8n.pt
     
-    6. Streamlit real-time object detection on your webcam with Ultralytics YOLOv8
+    6. Streamlit real-time webcam inference GUI
         yolo streamlit-predict
         
     7. Run special commands:

ultralytics/trackers/basetrack.py

@@ -15,6 +15,11 @@ class TrackState:
         Tracked (int): State when the object is successfully tracked in subsequent frames.
         Lost (int): State when the object is no longer tracked.
         Removed (int): State when the object is removed from tracking.
+
+    Examples:
+        >>> state = TrackState.New
+        >>> if state == TrackState.New:
+        >>>     print("Object is newly detected.")
     """
 
     New = 0
@@ -33,13 +38,13 @@ class BaseTrack:
         is_activated (bool): Flag indicating whether the track is currently active.
         state (TrackState): Current state of the track.
         history (OrderedDict): Ordered history of the track's states.
-        features (list): List of features extracted from the object for tracking.
+        features (List): List of features extracted from the object for tracking.
-        curr_feature (any): The current feature of the object being tracked.
+        curr_feature (Any): The current feature of the object being tracked.
         score (float): The confidence score of the tracking.
         start_frame (int): The frame number where tracking started.
         frame_id (int): The most recent frame ID processed by the track.
         time_since_update (int): Frames passed since the last update.
-        location (tuple): The location of the object in the context of multi-camera tracking.
+        location (Tuple): The location of the object in the context of multi-camera tracking.
 
     Methods:
         end_frame: Returns the ID of the last frame where the object was tracked.
@@ -50,12 +55,26 @@ class BaseTrack:
         mark_lost: Marks the track as lost.
         mark_removed: Marks the track as removed.
         reset_id: Resets the global track ID counter.
+
+    Examples:
+        Initialize a new track and mark it as lost:
+        >>> track = BaseTrack()
+        >>> track.mark_lost()
+        >>> print(track.state)  # Output: 2 (TrackState.Lost)
     """
 
     _count = 0
 
     def __init__(self):
-        """Initializes a new track with unique ID and foundational tracking attributes."""
+        """
+        Initializes a new track with a unique ID and foundational tracking attributes.
+
+        Examples:
+            Initialize a new track
+            >>> track = BaseTrack()
+            >>> print(track.track_id)
+            0
+        """
         self.track_id = 0
         self.is_activated = False
         self.state = TrackState.New
@@ -70,36 +89,36 @@ class BaseTrack:
 
     @property
     def end_frame(self):
-        """Return the last frame ID of the track."""
+        """Returns the ID of the most recent frame where the object was tracked."""
         return self.frame_id
 
     @staticmethod
     def next_id():
-        """Increment and return the global track ID counter."""
+        """Increment and return the next unique global track ID for object tracking."""
         BaseTrack._count += 1
         return BaseTrack._count
 
     def activate(self, *args):
-        """Abstract method to activate the track with provided arguments."""
+        """Activates the track with provided arguments, initializing necessary attributes for tracking."""
         raise NotImplementedError
 
     def predict(self):
-        """Abstract method to predict the next state of the track."""
+        """Predicts the next state of the track based on the current state and tracking model."""
         raise NotImplementedError
 
     def update(self, *args, **kwargs):
-        """Abstract method to update the track with new observations."""
+        """Updates the track with new observations and data, modifying its state and attributes accordingly."""
         raise NotImplementedError
 
     def mark_lost(self):
-        """Mark the track as lost."""
+        """Marks the track as lost by updating its state to TrackState.Lost."""
         self.state = TrackState.Lost
 
     def mark_removed(self):
-        """Mark the track as removed."""
+        """Marks the track as removed by setting its state to TrackState.Removed."""
         self.state = TrackState.Removed
 
     @staticmethod
     def reset_id():
-        """Reset the global track ID counter."""
+        """Reset the global track ID counter to its initial value."""
         BaseTrack._count = 0

ultralytics/trackers/bot_sort.py

@@ -15,6 +15,9 @@ class BOTrack(STrack):
     """
     An extended version of the STrack class for YOLOv8, adding object tracking features.
 
+    This class extends the STrack class to include additional functionalities for object tracking, such as feature
+    smoothing, Kalman filter prediction, and reactivation of tracks.
+
     Attributes:
         shared_kalman (KalmanFilterXYWH): A shared Kalman filter for all instances of BOTrack.
         smooth_feat (np.ndarray): Smoothed feature vector.
@@ -34,16 +37,35 @@ class BOTrack(STrack):
         convert_coords(tlwh): Converts tlwh bounding box coordinates to xywh format.
         tlwh_to_xywh(tlwh): Convert bounding box to xywh format `(center x, center y, width, height)`.
 
-    Usage:
+    Examples:
-        bo_track = BOTrack(tlwh, score, cls, feat)
+        Create a BOTrack instance and update its features
-        bo_track.predict()
+        >>> bo_track = BOTrack(tlwh=[100, 50, 80, 40], score=0.9, cls=1, feat=np.random.rand(128))
-        bo_track.update(new_track, frame_id)
+        >>> bo_track.predict()
+        >>> new_track = BOTrack(tlwh=[110, 60, 80, 40], score=0.85, cls=1, feat=np.random.rand(128))
+        >>> bo_track.update(new_track, frame_id=2)
     """
 
     shared_kalman = KalmanFilterXYWH()
 
     def __init__(self, tlwh, score, cls, feat=None, feat_history=50):
-        """Initialize YOLOv8 object with temporal parameters, such as feature history, alpha and current features."""
+        """
+        Initialize a BOTrack object with temporal parameters, such as feature history, alpha, and current features.
+
+        Args:
+            tlwh (np.ndarray): Bounding box coordinates in tlwh format (top left x, top left y, width, height).
+            score (float): Confidence score of the detection.
+            cls (int): Class ID of the detected object.
+            feat (np.ndarray | None): Feature vector associated with the detection.
+            feat_history (int): Maximum length of the feature history deque.
+
+        Examples:
+            Initialize a BOTrack object with bounding box, score, class ID, and feature vector
+            >>> tlwh = np.array([100, 50, 80, 120])
+            >>> score = 0.9
+            >>> cls = 1
+            >>> feat = np.random.rand(128)
+            >>> bo_track = BOTrack(tlwh, score, cls, feat)
+        """
         super().__init__(tlwh, score, cls)
 
         self.smooth_feat = None
@@ -54,7 +76,7 @@ class BOTrack(STrack):
         self.alpha = 0.9
 
     def update_features(self, feat):
-        """Update features vector and smooth it using exponential moving average."""
+        """Update the feature vector and apply exponential moving average smoothing."""
         feat /= np.linalg.norm(feat)
         self.curr_feat = feat
         if self.smooth_feat is None:
@@ -65,7 +87,7 @@ class BOTrack(STrack):
         self.smooth_feat /= np.linalg.norm(self.smooth_feat)
 
     def predict(self):
-        """Predicts the mean and covariance using Kalman filter."""
+        """Predicts the object's future state using the Kalman filter to update its mean and covariance."""
         mean_state = self.mean.copy()
         if self.state != TrackState.Tracked:
             mean_state[6] = 0
@@ -80,14 +102,14 @@ class BOTrack(STrack):
         super().re_activate(new_track, frame_id, new_id)
 
     def update(self, new_track, frame_id):
-        """Update the YOLOv8 instance with new track and frame ID."""
+        """Updates the YOLOv8 instance with new track information and the current frame ID."""
         if new_track.curr_feat is not None:
             self.update_features(new_track.curr_feat)
         super().update(new_track, frame_id)
 
     @property
     def tlwh(self):
-        """Get current position in bounding box format `(top left x, top left y, width, height)`."""
+        """Returns the current bounding box position in `(top left x, top left y, width, height)` format."""
         if self.mean is None:
             return self._tlwh.copy()
         ret = self.mean[:4].copy()
@@ -96,7 +118,7 @@ class BOTrack(STrack):
 
     @staticmethod
     def multi_predict(stracks):
-        """Predicts the mean and covariance of multiple object tracks using shared Kalman filter."""
+        """Predicts the mean and covariance for multiple object tracks using a shared Kalman filter."""
         if len(stracks) <= 0:
             return
         multi_mean = np.asarray([st.mean.copy() for st in stracks])
@@ -111,12 +133,12 @@ class BOTrack(STrack):
             stracks[i].covariance = cov
 
     def convert_coords(self, tlwh):
-        """Converts Top-Left-Width-Height bounding box coordinates to X-Y-Width-Height format."""
+        """Converts tlwh bounding box coordinates to xywh format."""
         return self.tlwh_to_xywh(tlwh)
 
     @staticmethod
     def tlwh_to_xywh(tlwh):
-        """Convert bounding box to format `(center x, center y, width, height)`."""
+        """Convert bounding box from tlwh (top-left-width-height) to xywh (center-x-center-y-width-height) format."""
         ret = np.asarray(tlwh).copy()
         ret[:2] += ret[2:] / 2
         return ret
@@ -129,9 +151,9 @@ class BOTSORT(BYTETracker):
     Attributes:
         proximity_thresh (float): Threshold for spatial proximity (IoU) between tracks and detections.
         appearance_thresh (float): Threshold for appearance similarity (ReID embeddings) between tracks and detections.
-        encoder (object): Object to handle ReID embeddings, set to None if ReID is not enabled.
+        encoder (Any): Object to handle ReID embeddings, set to None if ReID is not enabled.
         gmc (GMC): An instance of the GMC algorithm for data association.
-        args (object): Parsed command-line arguments containing tracking parameters.
+        args (Any): Parsed command-line arguments containing tracking parameters.
 
     Methods:
         get_kalmanfilter(): Returns an instance of KalmanFilterXYWH for object tracking.
@@ -139,17 +161,29 @@ class BOTSORT(BYTETracker):
         get_dists(tracks, detections): Get distances between tracks and detections using IoU and (optionally) ReID.
         multi_predict(tracks): Predict and track multiple objects with YOLOv8 model.
 
-    Usage:
+    Examples:
-        bot_sort = BOTSORT(args, frame_rate)
+        Initialize BOTSORT and process detections
-        bot_sort.init_track(dets, scores, cls, img)
+        >>> bot_sort = BOTSORT(args, frame_rate=30)
-        bot_sort.multi_predict(tracks)
+        >>> bot_sort.init_track(dets, scores, cls, img)
+        >>> bot_sort.multi_predict(tracks)
 
     Note:
         The class is designed to work with the YOLOv8 object detection model and supports ReID only if enabled via args.
     """
 
     def __init__(self, args, frame_rate=30):
-        """Initialize YOLOv8 object with ReID module and GMC algorithm."""
+        """
+        Initialize YOLOv8 object with ReID module and GMC algorithm.
+
+        Args:
+            args (object): Parsed command-line arguments containing tracking parameters.
+            frame_rate (int): Frame rate of the video being processed.
+
+        Examples:
+            Initialize BOTSORT with command-line arguments and a specified frame rate:
+            >>> args = parse_args()
+            >>> bot_sort = BOTSORT(args, frame_rate=30)
+        """
         super().__init__(args, frame_rate)
         # ReID module
         self.proximity_thresh = args.proximity_thresh
@@ -161,11 +195,11 @@ class BOTSORT(BYTETracker):
         self.gmc = GMC(method=args.gmc_method)
 
     def get_kalmanfilter(self):
-        """Returns an instance of KalmanFilterXYWH for object tracking."""
+        """Returns an instance of KalmanFilterXYWH for predicting and updating object states in the tracking process."""
         return KalmanFilterXYWH()
 
     def init_track(self, dets, scores, cls, img=None):
-        """Initialize track with detections, scores, and classes."""
+        """Initialize object tracks using detection bounding boxes, scores, class labels, and optional ReID features."""
         if len(dets) == 0:
             return []
         if self.args.with_reid and self.encoder is not None:
@@ -175,7 +209,7 @@ class BOTSORT(BYTETracker):
             return [BOTrack(xyxy, s, c) for (xyxy, s, c) in zip(dets, scores, cls)]  # detections
 
     def get_dists(self, tracks, detections):
-        """Get distances between tracks and detections using IoU and (optionally) ReID embeddings."""
+        """Calculates distances between tracks and detections using IoU and optionally ReID embeddings."""
         dists = matching.iou_distance(tracks, detections)
         dists_mask = dists > self.proximity_thresh
 
@@ -190,10 +224,10 @@ class BOTSORT(BYTETracker):
         return dists
 
     def multi_predict(self, tracks):
-        """Predict and track multiple objects with YOLOv8 model."""
+        """Predicts the mean and covariance of multiple object tracks using a shared Kalman filter."""
         BOTrack.multi_predict(tracks)
 
     def reset(self):
-        """Reset tracker."""
+        """Resets the BOTSORT tracker to its initial state, clearing all tracked objects and internal states."""
         super().reset()
         self.gmc.reset_params()

ultralytics/trackers/byte_tracker.py

@@ -25,7 +25,7 @@ class STrack(BaseTrack):
         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.
+        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.
@@ -39,12 +39,31 @@ class STrack(BaseTrack):
         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.
+
+    Examples:
+        Initialize and activate a new track
+        >>> track = STrack(xywh=[100, 200, 50, 80, 0], score=0.9, cls='person')
+        >>> track.activate(kalman_filter=KalmanFilterXYAH(), frame_id=1)
     """
 
     shared_kalman = KalmanFilterXYAH()
 
     def __init__(self, xywh, score, cls):
-        """Initialize new STrack instance."""
+        """
+        Initialize a new STrack instance.
+
+        Args:
+            xywh (List[float]): Bounding box coordinates and dimensions in the format (x, y, w, h, [a], idx), where
+                (x, y) is the center, (w, h) are width and height, [a] is optional aspect ratio, and idx is the id.
+            score (float): Confidence score of the detection.
+            cls (Any): Class label for the detected object.
+
+        Examples:
+            >>> xywh = [100.0, 150.0, 50.0, 75.0, 1]
+            >>> score = 0.9
+            >>> cls = 'person'
+            >>> track = STrack(xywh, score, cls)
+        """
         super().__init__()
         # xywh+idx or xywha+idx
         assert len(xywh) in {5, 6}, f"expected 5 or 6 values but got {len(xywh)}"
@@ -60,7 +79,7 @@ class STrack(BaseTrack):
         self.angle = xywh[4] if len(xywh) == 6 else None
 
     def predict(self):
-        """Predicts mean and covariance using Kalman filter."""
+        """Predicts the next state (mean and covariance) of the object using the Kalman filter."""
         mean_state = self.mean.copy()
         if self.state != TrackState.Tracked:
             mean_state[7] = 0
@@ -68,7 +87,7 @@ class STrack(BaseTrack):
 
     @staticmethod
     def multi_predict(stracks):
-        """Perform multi-object predictive tracking using Kalman filter for given stracks."""
+        """Perform multi-object predictive tracking using Kalman filter for the provided list of STrack instances."""
         if len(stracks) <= 0:
             return
         multi_mean = np.asarray([st.mean.copy() for st in stracks])
@@ -83,7 +102,7 @@ class STrack(BaseTrack):
 
     @staticmethod
     def multi_gmc(stracks, H=np.eye(2, 3)):
-        """Update state tracks positions and covariances using a homography matrix."""
+        """Update state tracks positions and covariances using a homography matrix for multiple tracks."""
         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])
@@ -101,7 +120,7 @@ class STrack(BaseTrack):
                 stracks[i].covariance = cov
 
     def activate(self, kalman_filter, frame_id):
-        """Start a new tracklet."""
+        """Activate a new tracklet using the provided Kalman filter and initialize its state and covariance."""
         self.kalman_filter = kalman_filter
         self.track_id = self.next_id()
         self.mean, self.covariance = self.kalman_filter.initiate(self.convert_coords(self._tlwh))
@@ -114,7 +133,7 @@ class STrack(BaseTrack):
         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."""
+        """Reactivates a previously lost track using new detection data and updates its state and attributes."""
         self.mean, self.covariance = self.kalman_filter.update(
             self.mean, self.covariance, self.convert_coords(new_track.tlwh)
         )
@@ -136,6 +155,12 @@ class STrack(BaseTrack):
         Args:
             new_track (STrack): The new track containing updated information.
             frame_id (int): The ID of the current frame.
+
+        Examples:
+            Update the state of a track with new detection information
+            >>> track = STrack([100, 200, 50, 80, 0.9, 1])
+            >>> new_track = STrack([105, 205, 55, 85, 0.95, 1])
+            >>> track.update(new_track, 2)
         """
         self.frame_id = frame_id
         self.tracklet_len += 1
@@ -158,7 +183,7 @@ class STrack(BaseTrack):
 
     @property
     def tlwh(self):
-        """Get current position in bounding box format (top left x, top left y, width, height)."""
+        """Returns the bounding box in top-left-width-height format from the current state estimate."""
         if self.mean is None:
             return self._tlwh.copy()
         ret = self.mean[:4].copy()
@@ -168,16 +193,14 @@ class STrack(BaseTrack):
 
     @property
     def xyxy(self):
-        """Convert bounding box to format (min x, min y, max x, max y), i.e., (top left, bottom right)."""
+        """Converts bounding box from (top left x, top left y, width, height) to (min x, min y, max x, max y) format."""
         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 /
+        """Convert bounding box from tlwh format to center-x-center-y-aspect-height (xyah) format."""
-        height.
-        """
         ret = np.asarray(tlwh).copy()
         ret[:2] += ret[2:] / 2
         ret[2] /= ret[3]
@@ -185,14 +208,14 @@ class STrack(BaseTrack):
 
     @property
     def xywh(self):
-        """Get current position in bounding box format (center x, center y, width, height)."""
+        """Returns the current position of the bounding box in (center x, center y, width, height) format."""
         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)."""
+        """Returns position in (center x, center y, width, height, angle) format, warning if angle is missing."""
         if self.angle is None:
             LOGGER.warning("WARNING ⚠️ `angle` attr not found, returning `xywh` instead.")
             return self.xywh
@@ -200,12 +223,12 @@ class STrack(BaseTrack):
 
     @property
     def result(self):
-        """Get current tracking results."""
+        """Returns the current tracking results in the appropriate bounding box format."""
         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 BYTETracker object with start and end frames and track ID."""
+        """Returns a string representation of the STrack object including start frame, end frame, and track ID."""
         return f"OT_{self.track_id}_({self.start_frame}-{self.end_frame})"
 
 
@@ -213,18 +236,18 @@ class BYTETracker:
     """
     BYTETracker: 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
+    Responsible for initializing, updating, and managing the tracks for detected objects in a video sequence.
-    sequence. It maintains the state of tracked, lost, and removed tracks over frames, utilizes Kalman filtering for
+    It maintains the state of tracked, lost, and removed tracks over frames, utilizes Kalman filtering for predicting
-    predicting the new object locations, and performs data association.
+    the new object locations, and performs data association.
 
     Attributes:
-        tracked_stracks (list[STrack]): List of successfully activated tracks.
+        tracked_stracks (List[STrack]): List of successfully activated tracks.
-        lost_stracks (list[STrack]): List of lost tracks.
+        lost_stracks (List[STrack]): List of lost tracks.
-        removed_stracks (list[STrack]): List of removed tracks.
+        removed_stracks (List[STrack]): List of removed tracks.
         frame_id (int): The current frame ID.
-        args (namespace): Command-line arguments.
+        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.
+        kalman_filter (KalmanFilterXYAH): Kalman Filter object.
 
     Methods:
         update(results, img=None): Updates object tracker with new detections.
@@ -236,10 +259,27 @@ class BYTETracker:
         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.
+
+    Examples:
+        Initialize BYTETracker and update with detection results
+        >>> tracker = BYTETracker(args, frame_rate=30)
+        >>> results = yolo_model.detect(image)
+        >>> tracked_objects = tracker.update(results)
     """
 
     def __init__(self, args, frame_rate=30):
-        """Initialize a YOLOv8 object to track objects with given arguments and frame rate."""
+        """
+        Initialize a BYTETracker instance for object tracking.
+
+        Args:
+            args (Namespace): Command-line arguments containing tracking parameters.
+            frame_rate (int): Frame rate of the video sequence.
+
+        Examples:
+            Initialize BYTETracker with command-line arguments and a frame rate of 30
+            >>> args = Namespace(track_buffer=30)
+            >>> tracker = BYTETracker(args, frame_rate=30)
+        """
         self.tracked_stracks = []  # type: list[STrack]
         self.lost_stracks = []  # type: list[STrack]
         self.removed_stracks = []  # type: list[STrack]
@@ -251,7 +291,7 @@ class BYTETracker:
         self.reset_id()
 
     def update(self, results, img=None):
-        """Updates object tracker with new detections and returns tracked object bounding boxes."""
+        """Updates the tracker with new detections and returns the current list of tracked objects."""
         self.frame_id += 1
         activated_stracks = []
         refind_stracks = []
@@ -365,31 +405,31 @@ class BYTETracker:
         return np.asarray([x.result for x in self.tracked_stracks if x.is_activated], dtype=np.float32)
 
     def get_kalmanfilter(self):
-        """Returns a Kalman filter object for tracking bounding boxes."""
+        """Returns a Kalman filter object for tracking bounding boxes using KalmanFilterXYAH."""
         return KalmanFilterXYAH()
 
     def init_track(self, dets, scores, cls, img=None):
-        """Initialize object tracking with detections and scores using STrack algorithm."""
+        """Initializes object tracking with given detections, scores, and class labels using the 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."""
+        """Calculates the distance between tracks and detections using IoU and optionally fuses scores."""
         dists = matching.iou_distance(tracks, detections)
         if self.args.fuse_score:
             dists = matching.fuse_score(dists, detections)
         return dists
 
     def multi_predict(self, tracks):
-        """Returns the predicted tracks using the YOLOv8 network."""
+        """Predict the next states for multiple tracks using Kalman filter."""
         STrack.multi_predict(tracks)
 
     @staticmethod
     def reset_id():
-        """Resets the ID counter of STrack."""
+        """Resets the ID counter for STrack instances to ensure unique track IDs across tracking sessions."""
         STrack.reset_id()
 
     def reset(self):
-        """Reset tracker."""
+        """Resets the tracker by clearing all tracked, lost, and removed tracks and reinitializing the Kalman filter."""
         self.tracked_stracks = []  # type: list[STrack]
         self.lost_stracks = []  # type: list[STrack]
         self.removed_stracks = []  # type: list[STrack]
@@ -399,7 +439,7 @@ class BYTETracker:
 
     @staticmethod
     def joint_stracks(tlista, tlistb):
-        """Combine two lists of stracks into a single one."""
+        """Combines two lists of STrack objects into a single list, ensuring no duplicates based on track IDs."""
         exists = {}
         res = []
         for t in tlista:
@@ -414,20 +454,13 @@ class BYTETracker:
 
     @staticmethod
     def sub_stracks(tlista, tlistb):
-        """DEPRECATED CODE in https://github.com/ultralytics/ultralytics/pull/1890/
+        """Filters out the stracks present in the second list from the first list."""
-        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."""
+        """Removes duplicate stracks from two lists based on Intersection over Union (IoU) distance."""
         pdist = matching.iou_distance(stracksa, stracksb)
         pairs = np.where(pdist < 0.15)
         dupa, dupb = [], []

ultralytics/trackers/track.py

@@ -21,10 +21,15 @@ def on_predict_start(predictor: object, persist: bool = False) -> None:
 
     Args:
         predictor (object): The predictor object to initialize trackers for.
-        persist (bool, optional): Whether to persist the trackers if they already exist. Defaults to False.
+        persist (bool): Whether to persist the trackers if they already exist.
 
     Raises:
         AssertionError: If the tracker_type is not 'bytetrack' or 'botsort'.
+
+    Examples:
+        Initialize trackers for a predictor object:
+        >>> predictor = SomePredictorClass()
+        >>> on_predict_start(predictor, persist=True)
     """
     if hasattr(predictor, "trackers") and persist:
         return
@@ -51,7 +56,12 @@ def on_predict_postprocess_end(predictor: object, persist: bool = False) -> None
 
     Args:
         predictor (object): The predictor object containing the predictions.
-        persist (bool, optional): Whether to persist the trackers if they already exist. Defaults to False.
+        persist (bool): Whether to persist the trackers if they already exist.
+
+    Examples:
+        Postprocess predictions and update with tracking
+        >>> predictor = YourPredictorClass()
+        >>> on_predict_postprocess_end(predictor, persist=True)
     """
     path, im0s = predictor.batch[:2]
 
@@ -84,6 +94,11 @@ def register_tracker(model: object, persist: bool) -> None:
     Args:
         model (object): The model object to register tracking callbacks for.
         persist (bool): Whether to persist the trackers if they already exist.
+
+    Examples:
+        Register tracking callbacks to a YOLO model
+        >>> model = YOLOModel()
+        >>> register_tracker(model, persist=True)
     """
     model.add_callback("on_predict_start", partial(on_predict_start, persist=persist))
     model.add_callback("on_predict_postprocess_end", partial(on_predict_postprocess_end, persist=persist))

ultralytics/trackers/utils/gmc.py

@@ -19,27 +19,39 @@ class GMC:
         method (str): The method used for tracking. Options include 'orb', 'sift', 'ecc', 'sparseOptFlow', 'none'.
         downscale (int): Factor by which to downscale the frames for processing.
         prevFrame (np.ndarray): Stores the previous frame for tracking.
-        prevKeyPoints (list): Stores the keypoints from the previous frame.
+        prevKeyPoints (List): Stores the keypoints from the previous frame.
         prevDescriptors (np.ndarray): Stores the descriptors from the previous frame.
         initializedFirstFrame (bool): Flag to indicate if the first frame has been processed.
 
     Methods:
-        __init__(self, method='sparseOptFlow', downscale=2): Initializes a GMC object with the specified method
+        __init__: Initializes a GMC object with the specified method and downscale factor.
-                                                              and downscale factor.
+        apply: Applies the chosen method to a raw frame and optionally uses provided detections.
-        apply(self, raw_frame, detections=None): Applies the chosen method to a raw frame and optionally uses
+        applyEcc: Applies the ECC algorithm to a raw frame.
-                                                 provided detections.
+        applyFeatures: Applies feature-based methods like ORB or SIFT to a raw frame.
-        applyEcc(self, raw_frame, detections=None): Applies the ECC algorithm to a raw frame.
+        applySparseOptFlow: Applies the Sparse Optical Flow method to a raw frame.
-        applyFeatures(self, raw_frame, detections=None): Applies feature-based methods like ORB or SIFT to a raw frame.
+        reset_params: Resets the internal parameters of the GMC object.
-        applySparseOptFlow(self, raw_frame, detections=None): Applies the Sparse Optical Flow method to a raw frame.
+
+    Examples:
+        Create a GMC object and apply it to a frame
+        >>> gmc = GMC(method='sparseOptFlow', downscale=2)
+        >>> frame = np.array([[1, 2, 3], [4, 5, 6]])
+        >>> processed_frame = gmc.apply(frame)
+        >>> print(processed_frame)
+        array([[1, 2, 3],
+               [4, 5, 6]])
     """
 
     def __init__(self, method: str = "sparseOptFlow", downscale: int = 2) -> None:
         """
-        Initialize a video tracker with specified parameters.
+        Initialize a Generalized Motion Compensation (GMC) object with tracking method and downscale factor.
 
         Args:
             method (str): The method used for tracking. Options include 'orb', 'sift', 'ecc', 'sparseOptFlow', 'none'.
             downscale (int): Downscale factor for processing frames.
+
+        Examples:
+            Initialize a GMC object with the 'sparseOptFlow' method and a downscale factor of 2
+            >>> gmc = GMC(method='sparseOptFlow', downscale=2)
         """
         super().__init__()
 
@@ -79,20 +91,21 @@ class GMC:
 
     def apply(self, raw_frame: np.array, detections: list = None) -> np.array:
         """
-        Apply object detection on a raw frame using specified method.
+        Apply object detection on a raw frame using the specified method.
 
         Args:
-            raw_frame (np.ndarray): The raw frame to be processed.
+            raw_frame (np.ndarray): The raw frame to be processed, with shape (H, W, C).
-            detections (list): List of detections to be used in the processing.
+            detections (List | None): List of detections to be used in the processing.
 
         Returns:
-            (np.ndarray): Processed frame.
+            (np.ndarray): Processed frame with applied object detection.
 
         Examples:
-            >>> gmc = GMC()
+            >>> gmc = GMC(method='sparseOptFlow')
-            >>> gmc.apply(np.array([[1, 2, 3], [4, 5, 6]]))
+            >>> raw_frame = np.random.rand(480, 640, 3)
-            array([[1, 2, 3],
+            >>> processed_frame = gmc.apply(raw_frame)
-                   [4, 5, 6]])
+            >>> print(processed_frame.shape)
+            (480, 640, 3)
         """
         if self.method in {"orb", "sift"}:
             return self.applyFeatures(raw_frame, detections)
@@ -105,19 +118,20 @@ class GMC:
 
     def applyEcc(self, raw_frame: np.array) -> np.array:
         """
-        Apply ECC algorithm to a raw frame.
+        Apply the ECC (Enhanced Correlation Coefficient) algorithm to a raw frame for motion compensation.
 
         Args:
-            raw_frame (np.ndarray): The raw frame to be processed.
+            raw_frame (np.ndarray): The raw frame to be processed, with shape (H, W, C).
 
         Returns:
-            (np.ndarray): Processed frame.
+            (np.ndarray): The processed frame with the applied ECC transformation.
 
         Examples:
-            >>> gmc = GMC()
+            >>> gmc = GMC(method='ecc')
-            >>> gmc.applyEcc(np.array([[1, 2, 3], [4, 5, 6]]))
+            >>> processed_frame = gmc.applyEcc(np.array([[[1, 2, 3], [4, 5, 6]], [[7, 8, 9], [10, 11, 12]]]))
-            array([[1, 2, 3],
+            >>> print(processed_frame)
-                   [4, 5, 6]])
+            [[1. 0. 0.]
+             [0. 1. 0.]]
         """
         height, width, _ = raw_frame.shape
         frame = cv2.cvtColor(raw_frame, cv2.COLOR_BGR2GRAY)
@@ -127,8 +141,6 @@ class GMC:
         if self.downscale > 1.0:
             frame = cv2.GaussianBlur(frame, (3, 3), 1.5)
             frame = cv2.resize(frame, (width // self.downscale, height // self.downscale))
-            width = width // self.downscale
-            height = height // self.downscale
 
         # Handle first frame
         if not self.initializedFirstFrame:
@@ -154,17 +166,18 @@ class GMC:
         Apply feature-based methods like ORB or SIFT to a raw frame.
 
         Args:
-            raw_frame (np.ndarray): The raw frame to be processed.
+            raw_frame (np.ndarray): The raw frame to be processed, with shape (H, W, C).
-            detections (list): List of detections to be used in the processing.
+            detections (List | None): List of detections to be used in the processing.
 
         Returns:
             (np.ndarray): Processed frame.
 
         Examples:
-            >>> gmc = GMC()
+            >>> gmc = GMC(method='orb')
-            >>> gmc.applyFeatures(np.array([[1, 2, 3], [4, 5, 6]]))
+            >>> raw_frame = np.random.randint(0, 255, (480, 640, 3), dtype=np.uint8)
-            array([[1, 2, 3],
+            >>> processed_frame = gmc.applyFeatures(raw_frame)
-                   [4, 5, 6]])
+            >>> print(processed_frame.shape)
+            (2, 3)
         """
         height, width, _ = raw_frame.shape
         frame = cv2.cvtColor(raw_frame, cv2.COLOR_BGR2GRAY)
@@ -296,16 +309,17 @@ class GMC:
         Apply Sparse Optical Flow method to a raw frame.
 
         Args:
-            raw_frame (np.ndarray): The raw frame to be processed.
+            raw_frame (np.ndarray): The raw frame to be processed, with shape (H, W, C).
 
         Returns:
-            (np.ndarray): Processed frame.
+            (np.ndarray): Processed frame with shape (2, 3).
 
         Examples:
             >>> gmc = GMC()
-            >>> gmc.applySparseOptFlow(np.array([[1, 2, 3], [4, 5, 6]]))
+            >>> result = gmc.applySparseOptFlow(np.array([[[1, 2, 3], [4, 5, 6]], [[7, 8, 9], [10, 11, 12]]]))
-            array([[1, 2, 3],
+            >>> print(result)
-                   [4, 5, 6]])
+            [[1. 0. 0.]
+             [0. 1. 0.]]
         """
         height, width, _ = raw_frame.shape
         frame = cv2.cvtColor(raw_frame, cv2.COLOR_BGR2GRAY)
@@ -356,7 +370,7 @@ class GMC:
         return H
 
     def reset_params(self) -> None:
-        """Reset parameters."""
+        """Reset the internal parameters including previous frame, keypoints, and descriptors."""
         self.prevFrame = None
         self.prevKeyPoints = None
         self.prevDescriptors = None

ultralytics/trackers/utils/kalman_filter.py

@@ -6,17 +6,49 @@ import scipy.linalg
 
 class KalmanFilterXYAH:
     """
-    For bytetrack. A simple Kalman filter for tracking bounding boxes in image space.
+    A KalmanFilterXYAH class for tracking bounding boxes in image space using a Kalman filter.
 
-    The 8-dimensional state space (x, y, a, h, vx, vy, va, vh) contains the bounding box center position (x, y), aspect
+    Implements a simple Kalman filter for tracking bounding boxes in image space. The 8-dimensional state space
-    ratio a, height h, and their respective velocities.
+    (x, y, a, h, vx, vy, va, vh) contains the bounding box center position (x, y), aspect ratio a, height h, and their
+    respective velocities. Object motion follows a constant velocity model, and bounding box location (x, y, a, h) is
+    taken as a direct observation of the state space (linear observation model).
 
-    Object motion follows a constant velocity model. The bounding box location (x, y, a, h) is taken as direct
+    Attributes:
-    observation of the state space (linear observation model).
+        _motion_mat (np.ndarray): The motion matrix for the Kalman filter.
+        _update_mat (np.ndarray): The update matrix for the Kalman filter.
+        _std_weight_position (float): Standard deviation weight for position.
+        _std_weight_velocity (float): Standard deviation weight for velocity.
+
+    Methods:
+        initiate: Creates a track from an unassociated measurement.
+        predict: Runs the Kalman filter prediction step.
+        project: Projects the state distribution to measurement space.
+        multi_predict: Runs the Kalman filter prediction step (vectorized version).
+        update: Runs the Kalman filter correction step.
+        gating_distance: Computes the gating distance between state distribution and measurements.
+
+    Examples:
+        Initialize the Kalman filter and create a track from a measurement
+        >>> kf = KalmanFilterXYAH()
+        >>> measurement = np.array([100, 200, 1.5, 50])
+        >>> mean, covariance = kf.initiate(measurement)
+        >>> print(mean)
+        >>> print(covariance)
     """
 
     def __init__(self):
-        """Initialize Kalman filter model matrices with motion and observation uncertainty weights."""
+        """
+        Initialize Kalman filter model matrices with motion and observation uncertainty weights.
+
+        The Kalman filter is initialized with an 8-dimensional state space (x, y, a, h, vx, vy, va, vh), where (x, y)
+        represents the bounding box center position, 'a' is the aspect ratio, 'h' is the height, and their respective
+        velocities are (vx, vy, va, vh). The filter uses a constant velocity model for object motion and a linear
+        observation model for bounding box location.
+
+        Examples:
+            Initialize a Kalman filter for tracking:
+            >>> kf = KalmanFilterXYAH()
+        """
         ndim, dt = 4, 1.0
 
         # Create Kalman filter model matrices
@@ -32,15 +64,20 @@ class KalmanFilterXYAH:
 
     def initiate(self, measurement: np.ndarray) -> tuple:
         """
-        Create track from unassociated measurement.
+        Create a track from an unassociated measurement.
 
         Args:
             measurement (ndarray): Bounding box coordinates (x, y, a, h) with center position (x, y), aspect ratio a,
                 and height h.
 
         Returns:
-            (tuple[ndarray, ndarray]): Returns the mean vector (8 dimensional) and covariance matrix (8x8 dimensional)
+            (tuple[ndarray, ndarray]): Returns the mean vector (8-dimensional) and covariance matrix (8x8 dimensional)
                 of the new track. Unobserved velocities are initialized to 0 mean.
+
+        Examples:
+            >>> kf = KalmanFilterXYAH()
+            >>> measurement = np.array([100, 50, 1.5, 200])
+            >>> mean, covariance = kf.initiate(measurement)
         """
         mean_pos = measurement
         mean_vel = np.zeros_like(mean_pos)
@@ -64,12 +101,18 @@ class KalmanFilterXYAH:
         Run Kalman filter prediction step.
 
         Args:
-            mean (ndarray): The 8 dimensional mean vector of the object state at the previous time step.
+            mean (ndarray): The 8-dimensional mean vector of the object state at the previous time step.
-            covariance (ndarray): The 8x8 dimensional covariance matrix of the object state at the previous time step.
+            covariance (ndarray): The 8x8-dimensional covariance matrix of the object state at the previous time step.
 
         Returns:
             (tuple[ndarray, ndarray]): Returns the mean vector and covariance matrix of the predicted state. Unobserved
                 velocities are initialized to 0 mean.
+
+        Examples:
+            >>> kf = KalmanFilterXYAH()
+            >>> mean = np.array([0, 0, 1, 1, 0, 0, 0, 0])
+            >>> covariance = np.eye(8)
+            >>> predicted_mean, predicted_covariance = kf.predict(mean, covariance)
         """
         std_pos = [
             self._std_weight_position * mean[3],
@@ -100,6 +143,12 @@ class KalmanFilterXYAH:
 
         Returns:
             (tuple[ndarray, ndarray]): Returns the projected mean and covariance matrix of the given state estimate.
+
+        Examples:
+            >>> kf = KalmanFilterXYAH()
+            >>> mean = np.array([0, 0, 1, 1, 0, 0, 0, 0])
+            >>> covariance = np.eye(8)
+            >>> projected_mean, projected_covariance = kf.project(mean, covariance)
         """
         std = [
             self._std_weight_position * mean[3],
@@ -115,15 +164,21 @@ class KalmanFilterXYAH:
 
     def multi_predict(self, mean: np.ndarray, covariance: np.ndarray) -> tuple:
         """
-        Run Kalman filter prediction step (Vectorized version).
+        Run Kalman filter prediction step for multiple object states (Vectorized version).
 
         Args:
             mean (ndarray): The Nx8 dimensional mean matrix of the object states at the previous time step.
             covariance (ndarray): The Nx8x8 covariance matrix of the object states at the previous time step.
 
         Returns:
-            (tuple[ndarray, ndarray]): Returns the mean vector and covariance matrix of the predicted state. Unobserved
+            (tuple[ndarray, ndarray]): Returns the mean matrix and covariance matrix of the predicted states.
-                velocities are initialized to 0 mean.
+                The mean matrix has shape (N, 8) and the covariance matrix has shape (N, 8, 8). Unobserved velocities
+                are initialized to 0 mean.
+
+        Examples:
+            >>> mean = np.random.rand(10, 8)  # 10 object states
+            >>> covariance = np.random.rand(10, 8, 8)  # Covariance matrices for 10 object states
+            >>> predicted_mean, predicted_covariance = kalman_filter.multi_predict(mean, covariance)
         """
         std_pos = [
             self._std_weight_position * mean[:, 3],
@@ -160,6 +215,13 @@ class KalmanFilterXYAH:
 
         Returns:
             (tuple[ndarray, ndarray]): Returns the measurement-corrected state distribution.
+
+        Examples:
+            >>> kf = KalmanFilterXYAH()
+            >>> mean = np.array([0, 0, 1, 1, 0, 0, 0, 0])
+            >>> covariance = np.eye(8)
+            >>> measurement = np.array([1, 1, 1, 1])
+            >>> new_mean, new_covariance = kf.update(mean, covariance, measurement)
         """
         projected_mean, projected_cov = self.project(mean, covariance)
 
@@ -182,23 +244,31 @@ class KalmanFilterXYAH:
         metric: str = "maha",
     ) -> np.ndarray:
         """
-        Compute gating distance between state distribution and measurements. A suitable distance threshold can be
+        Compute gating distance between state distribution and measurements.
-        obtained from `chi2inv95`. If `only_position` is False, the chi-square distribution has 4 degrees of freedom,
+
-        otherwise 2.
+        A suitable distance threshold can be obtained from `chi2inv95`. If `only_position` is False, the chi-square
+        distribution has 4 degrees of freedom, otherwise 2.
 
         Args:
             mean (ndarray): Mean vector over the state distribution (8 dimensional).
             covariance (ndarray): Covariance of the state distribution (8x8 dimensional).
-            measurements (ndarray): An Nx4 matrix of N measurements, each in format (x, y, a, h) where (x, y)
+            measurements (ndarray): An (N, 4) matrix of N measurements, each in format (x, y, a, h) where (x, y) is the
-                is the bounding box center position, a the aspect ratio, and h the height.
+                bounding box center position, a the aspect ratio, and h the height.
-            only_position (bool, optional): If True, distance computation is done with respect to the bounding box
+            only_position (bool): If True, distance computation is done with respect to box center position only.
-                center position only. Defaults to False.
+            metric (str): The metric to use for calculating the distance. Options are 'gaussian' for the squared
-            metric (str, optional): The metric to use for calculating the distance. Options are 'gaussian' for the
+                Euclidean distance and 'maha' for the squared Mahalanobis distance.
-                squared Euclidean distance and 'maha' for the squared Mahalanobis distance. Defaults to 'maha'.
 
         Returns:
             (np.ndarray): Returns an array of length N, where the i-th element contains the squared distance between
                 (mean, covariance) and `measurements[i]`.
+
+        Examples:
+            Compute gating distance using Mahalanobis metric:
+            >>> kf = KalmanFilterXYAH()
+            >>> mean = np.array([0, 0, 1, 1, 0, 0, 0, 0])
+            >>> covariance = np.eye(8)
+            >>> measurements = np.array([[1, 1, 1, 1], [2, 2, 1, 1]])
+            >>> distances = kf.gating_distance(mean, covariance, measurements, only_position=False, metric='maha')
         """
         mean, covariance = self.project(mean, covariance)
         if only_position:
@@ -218,13 +288,33 @@ class KalmanFilterXYAH:
 
 class KalmanFilterXYWH(KalmanFilterXYAH):
     """
-    For BoT-SORT. A simple Kalman filter for tracking bounding boxes in image space.
+    A KalmanFilterXYWH class for tracking bounding boxes in image space using a Kalman filter.
 
-    The 8-dimensional state space (x, y, w, h, vx, vy, vw, vh) contains the bounding box center position (x, y), width
+    Implements a Kalman filter for tracking bounding boxes with state space (x, y, w, h, vx, vy, vw, vh), where
-    w, height h, and their respective velocities.
+    (x, y) is the center position, w is the width, h is the height, and vx, vy, vw, vh are their respective velocities.
-
+    The object motion follows a constant velocity model, and the bounding box location (x, y, w, h) is taken as a direct
-    Object motion follows a constant velocity model. The bounding box location (x, y, w, h) is taken as direct
     observation of the state space (linear observation model).
+
+    Attributes:
+        _motion_mat (np.ndarray): The motion matrix for the Kalman filter.
+        _update_mat (np.ndarray): The update matrix for the Kalman filter.
+        _std_weight_position (float): Standard deviation weight for position.
+        _std_weight_velocity (float): Standard deviation weight for velocity.
+
+    Methods:
+        initiate: Creates a track from an unassociated measurement.
+        predict: Runs the Kalman filter prediction step.
+        project: Projects the state distribution to measurement space.
+        multi_predict: Runs the Kalman filter prediction step in a vectorized manner.
+        update: Runs the Kalman filter correction step.
+
+    Examples:
+        Create a Kalman filter and initialize a track
+        >>> kf = KalmanFilterXYWH()
+        >>> measurement = np.array([100, 50, 20, 40])
+        >>> mean, covariance = kf.initiate(measurement)
+        >>> print(mean)
+        >>> print(covariance)
     """
 
     def initiate(self, measurement: np.ndarray) -> tuple:
@@ -237,6 +327,22 @@ class KalmanFilterXYWH(KalmanFilterXYAH):
         Returns:
             (tuple[ndarray, ndarray]): Returns the mean vector (8 dimensional) and covariance matrix (8x8 dimensional)
                 of the new track. Unobserved velocities are initialized to 0 mean.
+
+        Examples:
+            >>> kf = KalmanFilterXYWH()
+            >>> measurement = np.array([100, 50, 20, 40])
+            >>> mean, covariance = kf.initiate(measurement)
+            >>> print(mean)
+            [100.  50.  20.  40.   0.   0.   0.   0.]
+            >>> print(covariance)
+            [[ 4.  0.  0.  0.  0.  0.  0.  0.]
+             [ 0.  4.  0.  0.  0.  0.  0.  0.]
+             [ 0.  0.  4.  0.  0.  0.  0.  0.]
+             [ 0.  0.  0.  4.  0.  0.  0.  0.]
+             [ 0.  0.  0.  0.  0.25  0.  0.  0.]
+             [ 0.  0.  0.  0.  0.  0.25  0.  0.]
+             [ 0.  0.  0.  0.  0.  0.  0.25  0.]
+             [ 0.  0.  0.  0.  0.  0.  0.  0.25]]
         """
         mean_pos = measurement
         mean_vel = np.zeros_like(mean_pos)
@@ -260,12 +366,18 @@ class KalmanFilterXYWH(KalmanFilterXYAH):
         Run Kalman filter prediction step.
 
         Args:
-            mean (ndarray): The 8 dimensional mean vector of the object state at the previous time step.
+            mean (ndarray): The 8-dimensional mean vector of the object state at the previous time step.
-            covariance (ndarray): The 8x8 dimensional covariance matrix of the object state at the previous time step.
+            covariance (ndarray): The 8x8-dimensional covariance matrix of the object state at the previous time step.
 
         Returns:
             (tuple[ndarray, ndarray]): Returns the mean vector and covariance matrix of the predicted state. Unobserved
                 velocities are initialized to 0 mean.
+
+        Examples:
+            >>> kf = KalmanFilterXYWH()
+            >>> mean = np.array([0, 0, 1, 1, 0, 0, 0, 0])
+            >>> covariance = np.eye(8)
+            >>> predicted_mean, predicted_covariance = kf.predict(mean, covariance)
         """
         std_pos = [
             self._std_weight_position * mean[2],
@@ -296,6 +408,12 @@ class KalmanFilterXYWH(KalmanFilterXYAH):
 
         Returns:
             (tuple[ndarray, ndarray]): Returns the projected mean and covariance matrix of the given state estimate.
+
+        Examples:
+            >>> kf = KalmanFilterXYWH()
+            >>> mean = np.array([0, 0, 1, 1, 0, 0, 0, 0])
+            >>> covariance = np.eye(8)
+            >>> projected_mean, projected_cov = kf.project(mean, covariance)
         """
         std = [
             self._std_weight_position * mean[2],
@@ -320,6 +438,12 @@ class KalmanFilterXYWH(KalmanFilterXYAH):
         Returns:
             (tuple[ndarray, ndarray]): Returns the mean vector and covariance matrix of the predicted state. Unobserved
                 velocities are initialized to 0 mean.
+
+        Examples:
+            >>> mean = np.random.rand(5, 8)  # 5 objects with 8-dimensional state vectors
+            >>> covariance = np.random.rand(5, 8, 8)  # 5 objects with 8x8 covariance matrices
+            >>> kf = KalmanFilterXYWH()
+            >>> predicted_mean, predicted_covariance = kf.multi_predict(mean, covariance)
         """
         std_pos = [
             self._std_weight_position * mean[:, 2],
@@ -356,5 +480,12 @@ class KalmanFilterXYWH(KalmanFilterXYAH):
 
         Returns:
             (tuple[ndarray, ndarray]): Returns the measurement-corrected state distribution.
+
+        Examples:
+            >>> kf = KalmanFilterXYWH()
+            >>> mean = np.array([0, 0, 1, 1, 0, 0, 0, 0])
+            >>> covariance = np.eye(8)
+            >>> measurement = np.array([0.5, 0.5, 1.2, 1.2])
+            >>> new_mean, new_covariance = kf.update(mean, covariance, measurement)
         """
         return super().update(mean, covariance, measurement)

ultralytics/trackers/utils/matching.py

@@ -19,18 +19,23 @@ except (ImportError, AssertionError, AttributeError):
 
 def linear_assignment(cost_matrix: np.ndarray, thresh: float, use_lap: bool = True) -> tuple:
     """
-    Perform linear assignment using scipy or lap.lapjv.
+    Perform linear assignment using either the scipy or lap.lapjv method.
 
     Args:
-        cost_matrix (np.ndarray): The matrix containing cost values for assignments.
+        cost_matrix (np.ndarray): The matrix containing cost values for assignments, with shape (N, M).
         thresh (float): Threshold for considering an assignment valid.
-        use_lap (bool, optional): Whether to use lap.lapjv. Defaults to True.
+        use_lap (bool): Use lap.lapjv for the assignment. If False, scipy.optimize.linear_sum_assignment is used.
 
     Returns:
-        Tuple with:
+        (tuple): A tuple containing:
-            - matched indices
+            - matched_indices (np.ndarray): Array of matched indices of shape (K, 2), where K is the number of matches.
-            - unmatched indices from 'a'
+            - unmatched_a (np.ndarray): Array of unmatched indices from the first set, with shape (L,).
-            - unmatched indices from 'b'
+            - unmatched_b (np.ndarray): Array of unmatched indices from the second set, with shape (M,).
+
+    Examples:
+        >>> cost_matrix = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]])
+        >>> thresh = 5.0
+        >>> matched_indices, unmatched_a, unmatched_b = linear_assignment(cost_matrix, thresh, use_lap=True)
     """
 
     if cost_matrix.size == 0:
@@ -68,6 +73,12 @@ def iou_distance(atracks: list, btracks: list) -> np.ndarray:
 
     Returns:
         (np.ndarray): Cost matrix computed based on IoU.
+
+    Examples:
+        Compute IoU distance between two sets of tracks
+        >>> atracks = [np.array([0, 0, 10, 10]), np.array([20, 20, 30, 30])]
+        >>> btracks = [np.array([5, 5, 15, 15]), np.array([25, 25, 35, 35])]
+        >>> cost_matrix = iou_distance(atracks, btracks)
     """
 
     if atracks and isinstance(atracks[0], np.ndarray) or btracks and isinstance(btracks[0], np.ndarray):
@@ -98,12 +109,19 @@ def embedding_distance(tracks: list, detections: list, metric: str = "cosine") -
     Compute distance between tracks and detections based on embeddings.
 
     Args:
-        tracks (list[STrack]): List of tracks.
+        tracks (list[STrack]): List of tracks, where each track contains embedding features.
-        detections (list[BaseTrack]): List of detections.
+        detections (list[BaseTrack]): List of detections, where each detection contains embedding features.
-        metric (str, optional): Metric for distance computation. Defaults to 'cosine'.
+        metric (str): Metric for distance computation. Supported metrics include 'cosine', 'euclidean', etc.
 
     Returns:
-        (np.ndarray): Cost matrix computed based on embeddings.
+        (np.ndarray): Cost matrix computed based on embeddings with shape (N, M), where N is the number of tracks
+            and M is the number of detections.
+
+    Examples:
+        Compute the embedding distance between tracks and detections using cosine metric
+        >>> tracks = [STrack(...), STrack(...)]  # List of track objects with embedding features
+        >>> detections = [BaseTrack(...), BaseTrack(...)]  # List of detection objects with embedding features
+        >>> cost_matrix = embedding_distance(tracks, detections, metric='cosine')
     """
 
     cost_matrix = np.zeros((len(tracks), len(detections)), dtype=np.float32)
@@ -122,11 +140,17 @@ def fuse_score(cost_matrix: np.ndarray, detections: list) -> np.ndarray:
     Fuses cost matrix with detection scores to produce a single similarity matrix.
 
     Args:
-        cost_matrix (np.ndarray): The matrix containing cost values for assignments.
+        cost_matrix (np.ndarray): The matrix containing cost values for assignments, with shape (N, M).
-        detections (list[BaseTrack]): List of detections with scores.
+        detections (list[BaseTrack]): List of detections, each containing a score attribute.
 
     Returns:
-        (np.ndarray): Fused similarity matrix.
+        (np.ndarray): Fused similarity matrix with shape (N, M).
+
+    Examples:
+        Fuse a cost matrix with detection scores
+        >>> cost_matrix = np.random.rand(5, 10)  # 5 tracks and 10 detections
+        >>> detections = [BaseTrack(score=np.random.rand()) for _ in range(10)]
+        >>> fused_matrix = fuse_score(cost_matrix, detections)
     """
 
     if cost_matrix.size == 0:

ultralytics/utils/__init__.py

@@ -47,7 +47,7 @@ PYTHON_VERSION = platform.python_version()
 TORCH_VERSION = torch.__version__
 TORCHVISION_VERSION = importlib.metadata.version("torchvision")  # faster than importing torchvision
 HELP_MSG = """
-    Usage examples for running Ultralytics YOLO:
+    Examples for running Ultralytics:
 
     1. Install the ultralytics package:
 

ultralytics/utils/files.py

@@ -11,19 +11,44 @@ from pathlib import Path
 
 
 class WorkingDirectory(contextlib.ContextDecorator):
-    """Usage: @WorkingDirectory(dir) decorator or 'with WorkingDirectory(dir):' context manager."""
+    """
+    A context manager and decorator for temporarily changing the working directory.
+
+    This class allows for the temporary change of the working directory using a context manager or decorator.
+    It ensures that the original working directory is restored after the context or decorated function completes.
+
+    Attributes:
+        dir (Path): The new directory to switch to.
+        cwd (Path): The original current working directory before the switch.
+
+    Methods:
+        __enter__: Changes the current directory to the specified directory.
+        __exit__: Restores the original working directory on context exit.
+
+    Examples:
+        Using as a context manager:
+        >>> with WorkingDirectory('/path/to/new/dir'):
+        >>>     # Perform operations in the new directory
+        >>>     pass
+
+        Using as a decorator:
+        >>> @WorkingDirectory('/path/to/new/dir')
+        >>> def some_function():
+        >>>     # Perform operations in the new directory
+        >>>     pass
+    """
 
     def __init__(self, new_dir):
-        """Sets the working directory to 'new_dir' upon instantiation."""
+        """Sets the working directory to 'new_dir' upon instantiation for use with context managers or decorators."""
         self.dir = new_dir  # new dir
         self.cwd = Path.cwd().resolve()  # current dir
 
     def __enter__(self):
-        """Changes the current directory to the specified directory."""
+        """Changes the current working directory to the specified directory upon entering the context."""
         os.chdir(self.dir)
 
     def __exit__(self, exc_type, exc_val, exc_tb):  # noqa
-        """Restore the current working directory on context exit."""
+        """Restores the original working directory when exiting the context."""
         os.chdir(self.cwd)
 
 
@@ -35,18 +60,16 @@ def spaces_in_path(path):
     file/directory back to its original location.
 
     Args:
-        path (str | Path): The original path.
+        path (str | Path): The original path that may contain spaces.
 
     Yields:
         (Path): Temporary path with spaces replaced by underscores if spaces were present, otherwise the original path.
 
-    Example:
+    Examples:
-        ```python
+        Use the context manager to handle paths with spaces:
-        with ultralytics.utils.files import spaces_in_path
+        >>> from ultralytics.utils.files import spaces_in_path
-
+        >>> with spaces_in_path('/path/with spaces') as new_path:
-        with spaces_in_path('/path/with spaces') as new_path:
+        >>>     # Your code here
-            # Your code here
-        ```
     """
 
     # If path has spaces, replace them with underscores
@@ -84,21 +107,35 @@ def spaces_in_path(path):
 
 def increment_path(path, exist_ok=False, sep="", mkdir=False):
     """
-    Increments a file or directory path, i.e. runs/exp --> runs/exp{sep}2, runs/exp{sep}3, ... etc.
+    Increments a file or directory path, i.e., runs/exp --> runs/exp{sep}2, runs/exp{sep}3, ... etc.
 
-    If the path exists and exist_ok is not set to True, the path will be incremented by appending a number and sep to
+    If the path exists and `exist_ok` is not True, the path will be incremented by appending a number and `sep` to
     the end of the path. If the path is a file, the file extension will be preserved. If the path is a directory, the
-    number will be appended directly to the end of the path. If mkdir is set to True, the path will be created as a
+    number will be appended directly to the end of the path. If `mkdir` is set to True, the path will be created as a
     directory if it does not already exist.
 
     Args:
-        path (str, pathlib.Path): Path to increment.
+        path (str | pathlib.Path): Path to increment.
-        exist_ok (bool, optional): If True, the path will not be incremented and returned as-is. Defaults to False.
+        exist_ok (bool): If True, the path will not be incremented and returned as-is.
-        sep (str, optional): Separator to use between the path and the incrementation number. Defaults to ''.
+        sep (str): Separator to use between the path and the incrementation number.
-        mkdir (bool, optional): Create a directory if it does not exist. Defaults to False.
+        mkdir (bool): Create a directory if it does not exist.
 
     Returns:
         (pathlib.Path): Incremented path.
+
+    Examples:
+        Increment a directory path:
+        >>> from pathlib import Path
+        >>> path = Path("runs/exp")
+        >>> new_path = increment_path(path)
+        >>> print(new_path)
+        runs/exp2
+
+        Increment a file path:
+        >>> path = Path("runs/exp/results.txt")
+        >>> new_path = increment_path(path)
+        >>> print(new_path)
+        runs/exp/results2.txt
     """
     path = Path(path)  # os-agnostic
     if path.exists() and not exist_ok:
@@ -118,19 +155,19 @@ def increment_path(path, exist_ok=False, sep="", mkdir=False):
 
 
 def file_age(path=__file__):
-    """Return days since last file update."""
+    """Return days since the last modification of the specified file."""
     dt = datetime.now() - datetime.fromtimestamp(Path(path).stat().st_mtime)  # delta
     return dt.days  # + dt.seconds / 86400  # fractional days
 
 
 def file_date(path=__file__):
-    """Return human-readable file modification date, i.e. '2021-3-26'."""
+    """Returns the file modification date in 'YYYY-M-D' format."""
     t = datetime.fromtimestamp(Path(path).stat().st_mtime)
     return f"{t.year}-{t.month}-{t.day}"
 
 
 def file_size(path):
-    """Return file/dir size (MB)."""
+    """Returns the size of a file or directory in megabytes (MB)."""
     if isinstance(path, (str, Path)):
         mb = 1 << 20  # bytes to MiB (1024 ** 2)
         path = Path(path)
@@ -142,7 +179,7 @@ def file_size(path):
 
 
 def get_latest_run(search_dir="."):
-    """Return path to most recent 'last.pt' in /runs (i.e. to --resume from)."""
+    """Returns the path to the most recent 'last.pt' file in the specified directory for resuming training."""
     last_list = glob.glob(f"{search_dir}/**/last*.pt", recursive=True)
     return max(last_list, key=os.path.getctime) if last_list else ""
 
@@ -152,17 +189,15 @@ def update_models(model_names=("yolov8n.pt",), source_dir=Path("."), update_name
     Updates and re-saves specified YOLO models in an 'updated_models' subdirectory.
 
     Args:
-        model_names (tuple, optional): Model filenames to update, defaults to ("yolov8n.pt").
+        model_names (Tuple[str, ...]): Model filenames to update.
-        source_dir (Path, optional): Directory containing models and target subdirectory, defaults to current directory.
+        source_dir (Path): Directory containing models and target subdirectory.
-        update_names (bool, optional): Update model names from a data YAML.
+        update_names (bool): Update model names from a data YAML.
 
-    Example:
+    Examples:
-        ```python
+        Update specified YOLO models and save them in 'updated_models' subdirectory:
-        from ultralytics.utils.files import update_models
+        >>> from ultralytics.utils.files import update_models
-
+        >>> model_names = ("yolov8n.pt", "yolov8s.pt")
-        model_names = (f"rtdetr-{size}.pt" for size in "lx")
+        >>> update_models(model_names, source_dir=Path("/models"), update_names=True)
-        update_models(model_names)
-        ```
     """
     from ultralytics import YOLO
     from ultralytics.nn.autobackend import default_class_names