# https://github.com/ali-vilab/Wan-Move/blob/main/wan/modules/trajectory.py import numpy as np import torch from PIL import Image, ImageDraw SKIP_ZERO = False def get_pos_emb( pos_k: torch.Tensor, pos_emb_dim: int, theta_func: callable = lambda i, d: torch.pow(10000, torch.mul(2, torch.div(i.to(torch.float32), d))), device: torch.device = torch.device("cuda" if torch.cuda.is_available() else "cpu"), dtype: torch.dtype = torch.float32, ) -> torch.Tensor: """ Generate batch position embeddings. Args: pos_k (torch.Tensor): A 1D tensor containing positions for which to generate embeddings. pos_emb_dim (int): The dimension of position embeddings. theta_func (callable): Function to compute thetas based on position and embedding dimensions. device (torch.device): Device to store the position embeddings. dtype (torch.dtype): Desired data type for computations. Returns: torch.Tensor: The position embeddings with shape (batch_size, pos_emb_dim). """ assert pos_emb_dim % 2 == 0, "The dimension of position embeddings must be even." pos_k = pos_k.to(device, dtype) if SKIP_ZERO: pos_k = pos_k + 1 batch_size = pos_k.size(0) denominator = torch.arange(0, pos_emb_dim // 2, device=device, dtype=dtype) # Expand denominator to match the shape needed for broadcasting denominator_expanded = denominator.view(1, -1).expand(batch_size, -1) thetas = theta_func(denominator_expanded, pos_emb_dim) # Ensure pos_k is in the correct shape for broadcasting pos_k_expanded = pos_k.view(-1, 1).to(dtype) sin_thetas = torch.sin(torch.div(pos_k_expanded, thetas)) cos_thetas = torch.cos(torch.div(pos_k_expanded, thetas)) # Concatenate sine and cosine embeddings along the last dimension pos_emb = torch.cat([sin_thetas, cos_thetas], dim=-1) return pos_emb def create_pos_feature_map( pred_tracks: torch.Tensor, # [T, N, 2] pred_visibility: torch.Tensor, # [T, N] downsample_ratios: list[int], height: int, width: int, pos_emb_dim: int, track_num: int = -1, t_down_strategy: str = "sample", device: torch.device = torch.device("cuda" if torch.cuda.is_available() else "cpu"), dtype: torch.dtype = torch.float32, ): """ Create a feature map from the predicted tracks. Args: - pred_tracks: torch.Tensor, the predicted tracks, [T, N, 2] - pred_visibility: torch.Tensor, the predicted visibility, [T, N] - downsample_ratios: list[int], the ratios for downsampling time, height, and width - height: int, the height of the feature map - width: int, the width of the feature map - pos_emb_dim: int, the dimension of the position embeddings - track_num: int, the number of tracks to use - t_down_strategy: str, the strategy for downsampling time dimension - device: torch.device, the device - dtype: torch.dtype, the data type Returns: - feature_map: torch.Tensor, the feature map, [T', H', W', pos_emb_dim] - track_pos: torch.Tensor, the position embeddings, [N, T', 2], 2 = height, width """ assert t_down_strategy in ["sample", "average"], "Invalid strategy for downsampling time dimension." t, n, _ = pred_tracks.shape t_down, h_down, w_down = downsample_ratios feature_map = torch.zeros((t-1) // t_down + 1, height // h_down, width // w_down, pos_emb_dim, device=device, dtype=dtype) track_pos = - torch.ones(n, (t-1) // t_down + 1, 2, dtype=torch.long) if track_num == -1: track_num = n tracks_idx = torch.randperm(n)[:track_num] tracks = pred_tracks[:, tracks_idx] visibility = pred_visibility[:, tracks_idx] #tracks_embs = get_pos_emb(torch.randperm(n)[:track_num], pos_emb_dim, device=device, dtype=dtype) for t_idx in range(0, t, t_down): if t_down_strategy == "sample" or t_idx == 0: cur_tracks = tracks[t_idx] # [N, 2] cur_visibility = visibility[t_idx] # [N] else: cur_tracks = tracks[t_idx:t_idx+t_down].mean(dim=0) cur_visibility = torch.any(visibility[t_idx:t_idx+t_down], dim=0) for i in range(track_num): if not cur_visibility[i] or cur_tracks[i][0] < 0 or cur_tracks[i][1] < 0 or cur_tracks[i][0] >= width or cur_tracks[i][1] >= height: continue x, y = cur_tracks[i] x, y = int(x // w_down), int(y // h_down) #feature_map[t_idx // t_down, y, x] += tracks_embs[i] track_pos[i, t_idx // t_down, 0], track_pos[i, t_idx // t_down, 1] = y, x return feature_map, track_pos def replace_feature( vae_feature: torch.Tensor, # [B, C', T', H', W'] track_pos: torch.Tensor, # [B, N, T', 2] strength: float = 1.0, ) -> torch.Tensor: b, _, t, h, w = vae_feature.shape assert b == track_pos.shape[0], "Batch size mismatch." n = track_pos.shape[1] # Shuffle the trajectory order track_pos = track_pos[:, torch.randperm(n), :, :] # Extract coordinates at time steps ≥ 1 and generate a valid mask current_pos = track_pos[:, :, 1:, :] # [B, N, T-1, 2] mask = (current_pos[..., 0] >= 0) & (current_pos[..., 1] >= 0) # [B, N, T-1] # Get all valid indices valid_indices = mask.nonzero(as_tuple=False) # [num_valid, 3] num_valid = valid_indices.shape[0] if num_valid == 0: return vae_feature # Decompose valid indices into each dimension batch_idx = valid_indices[:, 0] track_idx = valid_indices[:, 1] t_rel = valid_indices[:, 2] t_target = t_rel + 1 # Convert to original time step indices # Extract target position coordinates h_target = current_pos[batch_idx, track_idx, t_rel, 0].long() # Ensure integer indices w_target = current_pos[batch_idx, track_idx, t_rel, 1].long() # Extract source position coordinates (t=0) h_source = track_pos[batch_idx, track_idx, 0, 0].long() w_source = track_pos[batch_idx, track_idx, 0, 1].long() # Get source features and assign to target positions src_features = vae_feature[batch_idx, :, 0, h_source, w_source] dst_features = vae_feature[batch_idx, :, t_target, h_target, w_target] vae_feature[batch_idx, :, t_target, h_target, w_target] = dst_features + (src_features - dst_features) * strength return vae_feature def get_video_track_video( model, video_tensor: torch.Tensor, # [T, C, H, W] downsample_ratios: list[int], pos_emb_dim: int, grid_size: int = 32, track_num: int = -1, t_down_strategy: str = "sample", device: torch.device = torch.device("cuda" if torch.cuda.is_available() else "cpu"), dtype: torch.dtype = torch.float32, ) -> tuple[torch.Tensor, torch.Tensor]: """ Get the track video from the video tensor. Args: - model: torch.nn.Module, the model for tracking, CoTracker - video_tensor: torch.Tensor, the video tensor, [T, C, H, W] - downsample_ratios: list[int], the ratios for downsampling time, height, and width - height: int, the height of the feature map - width: int, the width of the feature map - pos_emb_dim: int, the dimension of the position embeddings - grid_size: int, the size of the grid - track_num: int, the number of tracks to use - t_down_strategy: str, the strategy for downsampling time dimension - device: torch.device, the device - dtype: torch.dtype, the data type Returns: - track_video: torch.Tensor, the track video, [pos_emb_dim, T', H', W'] - track_pos: torch.Tensor, the position embeddings, [N, T', 2], 2 = height, width - pred_tracks: the predicted point trajectories - pred_visibility: visibility of the predicted point trajectories """ t, c, height, width = video_tensor.shape with ( torch.autocast(device_type=device.type, dtype=dtype), torch.no_grad(), ): pred_tracks, pred_visibility = model( video_tensor.unsqueeze(0), grid_size=grid_size, backward_tracking=False, ) track_video, track_pos = create_pos_feature_map( pred_tracks[0], pred_visibility[0], downsample_ratios, height, width, pos_emb_dim, track_num, t_down_strategy, device, dtype ) return track_video.permute(3, 0, 1, 2), track_pos, pred_tracks, pred_visibility # --------------------------- # Visualize functions # -------------------------- def add_weighted(rgb, track): rgb = np.array(rgb) # [H, W, C] "RGB" track = np.array(track) # [H, W, C] "RGBA" # Compute weights from the alpha channel alpha = track[:, :, 3] / 255.0 # Expand alpha to 3 channels to match RGB alpha = np.stack([alpha] * 3, axis=-1) # Blend the two images blend_img = track[:, :, :3] * alpha + rgb * (1 - alpha) return Image.fromarray(blend_img.astype(np.uint8)) def draw_tracks_on_video(video, tracks, visibility=None, track_frame=24, circle_size=12, opacity=0.5, line_width=16): color_map = [(102, 153, 255), (0, 255, 255), (255, 255, 0), (255, 102, 204), (0, 255, 0)] video = video.byte().cpu().numpy() # (81, 480, 832, 3) tracks = tracks[0].long().detach().cpu().numpy() if visibility is not None: visibility = visibility[0].detach().cpu().numpy() num_frames, height, width = video.shape[:3] num_tracks = tracks.shape[1] alpha_opacity = int(255 * opacity) output_frames = [] for t in range(num_frames): frame_rgb = video[t].astype(np.float32) # Create a single RGBA overlay for all tracks in this frame overlay = Image.new("RGBA", (width, height), (0, 0, 0, 0)) draw_overlay = ImageDraw.Draw(overlay) polyline_data = [] # Draw all circles on a single overlay for n in range(num_tracks): if visibility is not None and visibility[t, n] == 0: continue track_coord = tracks[t, n] color = color_map[n % len(color_map)] circle_color = color + (alpha_opacity,) draw_overlay.ellipse( ( track_coord[0] - circle_size, track_coord[1] - circle_size, track_coord[0] + circle_size, track_coord[1] + circle_size ), fill=circle_color ) # Store polyline data for batch processing tracks_coord = tracks[max(t - track_frame, 0):t + 1, n] if len(tracks_coord) > 1: polyline_data.append((tracks_coord, color)) # Blend circles overlay once overlay_np = np.array(overlay) alpha = overlay_np[:, :, 3:4] / 255.0 frame_rgb = overlay_np[:, :, :3] * alpha + frame_rgb * (1 - alpha) # Draw all polylines on a single overlay if polyline_data: polyline_overlay = Image.new("RGBA", (width, height), (0, 0, 0, 0)) for tracks_coord, color in polyline_data: _draw_gradient_polyline_on_overlay(polyline_overlay, line_width, tracks_coord, color, opacity) # Blend polylines overlay once polyline_np = np.array(polyline_overlay) alpha = polyline_np[:, :, 3:4] / 255.0 frame_rgb = polyline_np[:, :, :3] * alpha + frame_rgb * (1 - alpha) output_frames.append(Image.fromarray(frame_rgb.astype(np.uint8))) return output_frames def _draw_gradient_polyline_on_overlay(overlay, line_width, points, start_color, opacity=1.0): """ Draw a gradient polyline directly onto an existing RGBA overlay image. This is an optimized version that doesn't create new images. """ draw = ImageDraw.Draw(overlay, 'RGBA') points = points[::-1] # Compute total length total_length = 0 segment_lengths = [] for i in range(len(points) - 1): dx = points[i + 1][0] - points[i][0] dy = points[i + 1][1] - points[i][1] length = (dx * dx + dy * dy) ** 0.5 segment_lengths.append(length) total_length += length if total_length == 0: return accumulated_length = 0 # Draw the gradient polyline for idx, (start_point, end_point) in enumerate(zip(points[:-1], points[1:])): segment_length = segment_lengths[idx] steps = max(int(segment_length), 1) for i in range(steps): current_length = accumulated_length + (i / steps) * segment_length ratio = current_length / total_length alpha = int(255 * (1 - ratio) * opacity) color = (*start_color, alpha) x = int(start_point[0] + (end_point[0] - start_point[0]) * i / steps) y = int(start_point[1] + (end_point[1] - start_point[1]) * i / steps) dynamic_line_width = max(int(line_width * (1 - ratio)), 1) draw.line([(x, y), (x + 1, y)], fill=color, width=dynamic_line_width) accumulated_length += segment_length