""" This script is adopted from the SORT script by Alex Bewley alex@bewley.ai """ from __future__ import print_function import pdb import pickle import cv2 import numpy as np from .association import * from .embedding import EmbeddingComputer from .cmc import CMCComputer def k_previous_obs(observations, cur_age, k): if len(observations) == 0: return [-1, -1, -1, -1, -1] for i in range(k): dt = k - i if cur_age - dt in observations: return observations[cur_age - dt] max_age = max(observations.keys()) return observations[max_age] def convert_bbox_to_z(bbox): """ Takes a bounding box in the form [x1,y1,x2,y2] and returns z in the form [x,y,s,r] where x,y is the centre of the box and s is the scale/area and r is the aspect ratio """ w = bbox[2] - bbox[0] h = bbox[3] - bbox[1] x = bbox[0] + w / 2.0 y = bbox[1] + h / 2.0 s = w * h # scale is just area r = w / float(h + 1e-6) return np.array([x, y, s, r]).reshape((4, 1)) def convert_bbox_to_z_new(bbox): w = bbox[2] - bbox[0] h = bbox[3] - bbox[1] x = bbox[0] + w / 2.0 y = bbox[1] + h / 2.0 return np.array([x, y, w, h]).reshape((4, 1)) def convert_x_to_bbox_new(x): x, y, w, h = x.reshape(-1)[:4] return np.array([x - w / 2, y - h / 2, x + w / 2, y + h / 2]).reshape(1, 4) def convert_x_to_bbox(x, score=None): """ Takes a bounding box in the centre form [x,y,s,r] and returns it in the form [x1,y1,x2,y2] where x1,y1 is the top left and x2,y2 is the bottom right """ w = np.sqrt(x[2] * x[3]) h = x[2] / w if score == None: return np.array([x[0] - w / 2.0, x[1] - h / 2.0, x[0] + w / 2.0, x[1] + h / 2.0]).reshape((1, 4)) else: return np.array([x[0] - w / 2.0, x[1] - h / 2.0, x[0] + w / 2.0, x[1] + h / 2.0, score]).reshape((1, 5)) def speed_direction(bbox1, bbox2): cx1, cy1 = (bbox1[0] + bbox1[2]) / 2.0, (bbox1[1] + bbox1[3]) / 2.0 cx2, cy2 = (bbox2[0] + bbox2[2]) / 2.0, (bbox2[1] + bbox2[3]) / 2.0 speed = np.array([cy2 - cy1, cx2 - cx1]) norm = np.sqrt((cy2 - cy1) ** 2 + (cx2 - cx1) ** 2) + 1e-6 return speed / norm def new_kf_process_noise(w, h, p=1 / 20, v=1 / 160): Q = np.diag( ( (p * w) ** 2, (p * h) ** 2, (p * w) ** 2, (p * h) ** 2, (v * w) ** 2, (v * h) ** 2, (v * w) ** 2, (v * h) ** 2, ) ) return Q def new_kf_measurement_noise(w, h, m=1 / 20): w_var = (m * w) ** 2 h_var = (m * h) ** 2 R = np.diag((w_var, h_var, w_var, h_var)) return R class KalmanBoxTracker(object): """ This class represents the internal state of individual tracked objects observed as bbox. """ count = 0 def __init__(self, bbox, delta_t=3, orig=False, emb=None, alpha=0, new_kf=False): """ Initialises a tracker using initial bounding box. """ # define constant velocity model if not orig: from .kalmanfilter import KalmanFilterNew as KalmanFilter else: from filterpy.kalman import KalmanFilter self.new_kf = new_kf if new_kf: self.kf = KalmanFilter(dim_x=8, dim_z=4) self.kf.F = np.array( [ # x y w h x' y' w' h' [1, 0, 0, 0, 1, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0, 1, 0], [0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1], ] ) self.kf.H = np.array( [ [1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], ] ) _, _, w, h = convert_bbox_to_z_new(bbox).reshape(-1) self.kf.P = new_kf_process_noise(w, h) self.kf.P[:4, :4] *= 4 self.kf.P[4:, 4:] *= 100 # Process and measurement uncertainty happen in functions self.bbox_to_z_func = convert_bbox_to_z_new self.x_to_bbox_func = convert_x_to_bbox_new else: self.kf = KalmanFilter(dim_x=7, dim_z=4) self.kf.F = np.array( [ # x y s r x' y' s' [1, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 1, 0], [0, 0, 1, 0, 0, 0, 1], [0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1], ] ) self.kf.H = np.array( [ [1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0], ] ) self.kf.R[2:, 2:] *= 10.0 self.kf.P[4:, 4:] *= 1000.0 # give high uncertainty to the unobservable initial velocities self.kf.P *= 10.0 self.kf.Q[-1, -1] *= 0.01 self.kf.Q[4:, 4:] *= 0.01 self.bbox_to_z_func = convert_bbox_to_z self.x_to_bbox_func = convert_x_to_bbox # Attempt # self.kf.P[2, 2] = 10000 # self.kf.R[2, 2] = 10000 self.kf.x[:4] = self.bbox_to_z_func(bbox) self.time_since_update = 0 self.id = KalmanBoxTracker.count KalmanBoxTracker.count += 1 self.history = [] self.hits = 0 self.hit_streak = 0 self.age = 0 """ NOTE: [-1,-1,-1,-1,-1] is a compromising placeholder for non-observation status, the same for the return of function k_previous_obs. It is ugly and I do not like it. But to support generate observation array in a fast and unified way, which you would see below k_observations = np.array([k_previous_obs(...]]), let's bear it for now. """ # Used for OCR self.last_observation = np.array([-1, -1, -1, -1, -1]) # placeholder # Used to output track after min_hits reached self.history_observations = [] # Used for velocity self.observations = dict() self.velocity = None self.delta_t = delta_t self.emb = emb self.frozen = False def update(self, bbox): """ Updates the state vector with observed bbox. """ if bbox is not None: self.frozen = False if self.last_observation.sum() >= 0: # no previous observation previous_box = None for dt in range(self.delta_t, 0, -1): if self.age - dt in self.observations: previous_box = self.observations[self.age - dt] break if previous_box is None: previous_box = self.last_observation """ Estimate the track speed direction with observations \Delta t steps away """ self.velocity = speed_direction(previous_box, bbox) """ Insert new observations. This is a ugly way to maintain both self.observations and self.history_observations. Bear it for the moment. """ self.last_observation = bbox self.observations[self.age] = bbox self.history_observations.append(bbox) self.time_since_update = 0 self.history = [] self.hits += 1 self.hit_streak += 1 if self.new_kf: R = new_kf_measurement_noise(self.kf.x[2, 0], self.kf.x[3, 0]) self.kf.update(self.bbox_to_z_func(bbox), R=R, new_kf=True) else: self.kf.update(self.bbox_to_z_func(bbox)) else: self.kf.update(bbox, new_kf=self.new_kf) self.frozen = True def update_emb(self, emb, alpha=0.9): self.emb = alpha * self.emb + (1 - alpha) * emb self.emb /= np.linalg.norm(self.emb) def get_emb(self): return self.emb def apply_affine_correction(self, affine): m = affine[:, :2] t = affine[:, 2].reshape(2, 1) # For OCR if self.last_observation.sum() > 0: ps = self.last_observation[:4].reshape(2, 2).T ps = m @ ps + t self.last_observation[:4] = ps.T.reshape(-1) # Apply to each box in the range of velocity computation for dt in range(self.delta_t, -1, -1): if self.age - dt in self.observations: ps = self.observations[self.age - dt][:4].reshape(2, 2).T ps = m @ ps + t self.observations[self.age - dt][:4] = ps.T.reshape(-1) # Also need to change kf state, but might be frozen self.kf.apply_affine_correction(m, t, self.new_kf) def predict(self): """ Advances the state vector and returns the predicted bounding box estimate. """ # Don't allow negative bounding boxes if self.new_kf: if self.kf.x[2] + self.kf.x[6] <= 0: self.kf.x[6] = 0 if self.kf.x[3] + self.kf.x[7] <= 0: self.kf.x[7] = 0 # Stop velocity, will update in kf during OOS if self.frozen: self.kf.x[6] = self.kf.x[7] = 0 Q = new_kf_process_noise(self.kf.x[2, 0], self.kf.x[3, 0]) else: if (self.kf.x[6] + self.kf.x[2]) <= 0: self.kf.x[6] *= 0.0 Q = None self.kf.predict(Q=Q) self.age += 1 if self.time_since_update > 0: self.hit_streak = 0 self.time_since_update += 1 self.history.append(self.x_to_bbox_func(self.kf.x)) return self.history[-1] def get_state(self): """ Returns the current bounding box estimate. """ return self.x_to_bbox_func(self.kf.x) def mahalanobis(self, bbox): """Should be run after a predict() call for accuracy.""" return self.kf.md_for_measurement(self.bbox_to_z_func(bbox)) """ We support multiple ways for association cost calculation, by default we use IoU. GIoU may have better performance in some situations. We note that we hardly normalize the cost by all methods to (0,1) which may not be the best practice. """ ASSO_FUNCS = { "iou": iou_batch, "giou": giou_batch, "ciou": ciou_batch, "diou": diou_batch, "ct_dist": ct_dist, } class Track: def __init__(self, track_id, tlrb, score): self.track_id = track_id self.tlwh = [tlrb[0], tlrb[1], tlrb[2] - tlrb[0], tlrb[3] - tlrb[1]] self.score = score class OCSort(object): def __init__( self, det_thresh, max_age=30, min_hits=3, iou_threshold=0.3, delta_t=3, asso_func="iou", inertia=0.2, w_association_emb=0.75, alpha_fixed_emb=0.95, aw_param=0.5, embedding_off=False, cmc_off=True, aw_off=False, new_kf_off=False, grid_off=False, **kwargs, ): """ Sets key parameters for SORT """ self.max_age = max_age self.min_hits = min_hits self.iou_threshold = iou_threshold self.trackers = [] self.frame_count = 0 self.det_thresh = det_thresh self.delta_t = delta_t self.asso_func = ASSO_FUNCS[asso_func] self.inertia = inertia self.w_association_emb = w_association_emb self.alpha_fixed_emb = alpha_fixed_emb self.aw_param = aw_param KalmanBoxTracker.count = 0 # self.embedder = EmbeddingComputer(kwargs["args"].dataset, kwargs["args"].test_dataset, grid_off) # self.cmc = CMCComputer() self.embedding_off = embedding_off self.cmc_off = cmc_off self.aw_off = aw_off self.new_kf_off = new_kf_off self.grid_off = grid_off def update(self, fdets, img): """ Params: dets - a numpy array of detections in the format [[x1,y1,x2,y2,score],[x1,y1,x2,y2,score],...] Requires: this method must be called once for each frame even with empty detections (use np.empty((0, 5)) for frames without detections). Returns the a similar array, where the last column is the object ID. NOTE: The number of objects returned may differ from the number of detections provided. """ ##### remain_inds = fdets[:, 4] > self.det_thresh dets, dets_embs = fdets[remain_inds, 0:5], fdets[remain_inds, 5:] self.frame_count += 1 # CMC if not self.cmc_off: transform = self.cmc.compute_affine(img_numpy, dets[:, :4], tag) for trk in self.trackers: trk.apply_affine_correction(transform) trust = (dets[:, 4] - self.det_thresh) / (1 - self.det_thresh) af = self.alpha_fixed_emb # From [self.alpha_fixed_emb, 1], goes to 1 as detector is less confident dets_alpha = af + (1 - af) * (1 - trust) # get predicted locations from existing trackers. trks = np.zeros((len(self.trackers), 5)) trk_embs = [] to_del = [] ret = [] for t, trk in enumerate(trks): pos = self.trackers[t].predict()[0] trk[:] = [pos[0], pos[1], pos[2], pos[3], 0] if np.any(np.isnan(pos)): to_del.append(t) else: trk_embs.append(self.trackers[t].get_emb()) trks = np.ma.compress_rows(np.ma.masked_invalid(trks)) # Shape = (num_trackers, 3, 512) if grid trk_embs = np.array(trk_embs) for t in reversed(to_del): self.trackers.pop(t) velocities = np.array([trk.velocity if trk.velocity is not None else np.array((0, 0)) for trk in self.trackers]) last_boxes = np.array([trk.last_observation for trk in self.trackers]) k_observations = np.array([k_previous_obs(trk.observations, trk.age, self.delta_t) for trk in self.trackers]) """ First round of association """ matched, unmatched_dets, unmatched_trks = associate( dets, trks, dets_embs, trk_embs, self.iou_threshold, velocities, k_observations, self.inertia, self.w_association_emb, self.aw_off, self.aw_param, self.embedding_off, self.grid_off, ) for m in matched: self.trackers[m[1]].update(dets[m[0], :]) self.trackers[m[1]].update_emb(dets_embs[m[0]], alpha=dets_alpha[m[0]]) """ Second round of associaton by OCR """ if unmatched_dets.shape[0] > 0 and unmatched_trks.shape[0] > 0: left_dets = dets[unmatched_dets] left_dets_embs = dets_embs[unmatched_dets] left_trks = last_boxes[unmatched_trks] left_trks_embs = trk_embs[unmatched_trks] # TODO: maybe use embeddings here iou_left = self.asso_func(left_dets, left_trks) iou_left = np.array(iou_left) if iou_left.max() > self.iou_threshold: """ NOTE: by using a lower threshold, e.g., self.iou_threshold - 0.1, you may get a higher performance especially on MOT17/MOT20 datasets. But we keep it uniform here for simplicity """ rematched_indices = linear_assignment(-iou_left) to_remove_det_indices = [] to_remove_trk_indices = [] for m in rematched_indices: det_ind, trk_ind = unmatched_dets[m[0]], unmatched_trks[m[1]] if iou_left[m[0], m[1]] < self.iou_threshold: continue self.trackers[trk_ind].update(dets[det_ind, :]) self.trackers[trk_ind].update_emb(dets_embs[det_ind], alpha=dets_alpha[det_ind]) to_remove_det_indices.append(det_ind) to_remove_trk_indices.append(trk_ind) unmatched_dets = np.setdiff1d(unmatched_dets, np.array(to_remove_det_indices)) unmatched_trks = np.setdiff1d(unmatched_trks, np.array(to_remove_trk_indices)) for m in unmatched_trks: self.trackers[m].update(None) # create and initialise new trackers for unmatched detections for i in unmatched_dets: trk = KalmanBoxTracker( dets[i, :], delta_t=self.delta_t, emb=dets_embs[i], alpha=dets_alpha[i], new_kf=not self.new_kf_off ) self.trackers.append(trk) i = len(self.trackers) for trk in reversed(self.trackers): if trk.last_observation.sum() < 0: d = trk.get_state()[0] else: """ this is optional to use the recent observation or the kalman filter prediction, we didn't notice significant difference here """ d = trk.last_observation[:4] if (trk.time_since_update < 1) and (trk.hit_streak >= self.min_hits or self.frame_count <= self.min_hits): # +1 as MOT benchmark requires positive # ret.append(np.concatenate((d, [trk.id + 1])).reshape(1, -1)) ret.append(Track(trk.id + 1, d, 1)) i -= 1 # remove dead tracklet if trk.time_since_update > self.max_age: self.trackers.pop(i) return ret def dump_cache(self): self.cmc.dump_cache() self.embedder.dump_cache()