Reference for ultralytics/utils/tal.py

@torch.no_grad()
def forward(self, pd_scores, pd_bboxes, anc_points, gt_labels, gt_bboxes, mask_gt):
    """
    Compute the task-aligned assignment. Reference code is available at
    https://github.com/Nioolek/PPYOLOE_pytorch/blob/master/ppyoloe/assigner/tal_assigner.py.

    Args:
        pd_scores (Tensor): shape(bs, num_total_anchors, num_classes)
        pd_bboxes (Tensor): shape(bs, num_total_anchors, 4)
        anc_points (Tensor): shape(num_total_anchors, 2)
        gt_labels (Tensor): shape(bs, n_max_boxes, 1)
        gt_bboxes (Tensor): shape(bs, n_max_boxes, 4)
        mask_gt (Tensor): shape(bs, n_max_boxes, 1)

    Returns:
        target_labels (Tensor): shape(bs, num_total_anchors)
        target_bboxes (Tensor): shape(bs, num_total_anchors, 4)
        target_scores (Tensor): shape(bs, num_total_anchors, num_classes)
        fg_mask (Tensor): shape(bs, num_total_anchors)
        target_gt_idx (Tensor): shape(bs, num_total_anchors)
    """
    self.bs = pd_scores.shape[0]
    self.n_max_boxes = gt_bboxes.shape[1]

    if self.n_max_boxes == 0:
        device = gt_bboxes.device
        return (
            torch.full_like(pd_scores[..., 0], self.bg_idx).to(device),
            torch.zeros_like(pd_bboxes).to(device),
            torch.zeros_like(pd_scores).to(device),
            torch.zeros_like(pd_scores[..., 0]).to(device),
            torch.zeros_like(pd_scores[..., 0]).to(device),
        )

    mask_pos, align_metric, overlaps = self.get_pos_mask(
        pd_scores, pd_bboxes, gt_labels, gt_bboxes, anc_points, mask_gt
    )

    target_gt_idx, fg_mask, mask_pos = self.select_highest_overlaps(mask_pos, overlaps, self.n_max_boxes)

    # Assigned target
    target_labels, target_bboxes, target_scores = self.get_targets(gt_labels, gt_bboxes, target_gt_idx, fg_mask)

    # Normalize
    align_metric *= mask_pos
    pos_align_metrics = align_metric.amax(dim=-1, keepdim=True)  # b, max_num_obj
    pos_overlaps = (overlaps * mask_pos).amax(dim=-1, keepdim=True)  # b, max_num_obj
    norm_align_metric = (align_metric * pos_overlaps / (pos_align_metrics + self.eps)).amax(-2).unsqueeze(-1)
    target_scores = target_scores * norm_align_metric

    return target_labels, target_bboxes, target_scores, fg_mask.bool(), target_gt_idx

def get_box_metrics(self, pd_scores, pd_bboxes, gt_labels, gt_bboxes, mask_gt):
    """Compute alignment metric given predicted and ground truth bounding boxes."""
    na = pd_bboxes.shape[-2]
    mask_gt = mask_gt.bool()  # b, max_num_obj, h*w
    overlaps = torch.zeros([self.bs, self.n_max_boxes, na], dtype=pd_bboxes.dtype, device=pd_bboxes.device)
    bbox_scores = torch.zeros([self.bs, self.n_max_boxes, na], dtype=pd_scores.dtype, device=pd_scores.device)

    ind = torch.zeros([2, self.bs, self.n_max_boxes], dtype=torch.long)  # 2, b, max_num_obj
    ind[0] = torch.arange(end=self.bs).view(-1, 1).expand(-1, self.n_max_boxes)  # b, max_num_obj
    ind[1] = gt_labels.squeeze(-1)  # b, max_num_obj
    # Get the scores of each grid for each gt cls
    bbox_scores[mask_gt] = pd_scores[ind[0], :, ind[1]][mask_gt]  # b, max_num_obj, h*w

    # (b, max_num_obj, 1, 4), (b, 1, h*w, 4)
    pd_boxes = pd_bboxes.unsqueeze(1).expand(-1, self.n_max_boxes, -1, -1)[mask_gt]
    gt_boxes = gt_bboxes.unsqueeze(2).expand(-1, -1, na, -1)[mask_gt]
    overlaps[mask_gt] = self.iou_calculation(gt_boxes, pd_boxes)

    align_metric = bbox_scores.pow(self.alpha) * overlaps.pow(self.beta)
    return align_metric, overlaps

def get_pos_mask(self, pd_scores, pd_bboxes, gt_labels, gt_bboxes, anc_points, mask_gt):
    """Get in_gts mask, (b, max_num_obj, h*w)."""
    mask_in_gts = self.select_candidates_in_gts(anc_points, gt_bboxes)
    # Get anchor_align metric, (b, max_num_obj, h*w)
    align_metric, overlaps = self.get_box_metrics(pd_scores, pd_bboxes, gt_labels, gt_bboxes, mask_in_gts * mask_gt)
    # Get topk_metric mask, (b, max_num_obj, h*w)
    mask_topk = self.select_topk_candidates(align_metric, topk_mask=mask_gt.expand(-1, -1, self.topk).bool())
    # Merge all mask to a final mask, (b, max_num_obj, h*w)
    mask_pos = mask_topk * mask_in_gts * mask_gt

    return mask_pos, align_metric, overlaps

def get_targets(self, gt_labels, gt_bboxes, target_gt_idx, fg_mask):
    """
    Compute target labels, target bounding boxes, and target scores for the positive anchor points.

    Args:
        gt_labels (Tensor): Ground truth labels of shape (b, max_num_obj, 1), where b is the
                            batch size and max_num_obj is the maximum number of objects.
        gt_bboxes (Tensor): Ground truth bounding boxes of shape (b, max_num_obj, 4).
        target_gt_idx (Tensor): Indices of the assigned ground truth objects for positive
                                anchor points, with shape (b, h*w), where h*w is the total
                                number of anchor points.
        fg_mask (Tensor): A boolean tensor of shape (b, h*w) indicating the positive
                          (foreground) anchor points.

    Returns:
        (Tuple[Tensor, Tensor, Tensor]): A tuple containing the following tensors:
            - target_labels (Tensor): Shape (b, h*w), containing the target labels for
                                      positive anchor points.
            - target_bboxes (Tensor): Shape (b, h*w, 4), containing the target bounding boxes
                                      for positive anchor points.
            - target_scores (Tensor): Shape (b, h*w, num_classes), containing the target scores
                                      for positive anchor points, where num_classes is the number
                                      of object classes.
    """
    # Assigned target labels, (b, 1)
    batch_ind = torch.arange(end=self.bs, dtype=torch.int64, device=gt_labels.device)[..., None]
    target_gt_idx = target_gt_idx + batch_ind * self.n_max_boxes  # (b, h*w)
    target_labels = gt_labels.long().flatten()[target_gt_idx]  # (b, h*w)

    # Assigned target boxes, (b, max_num_obj, 4) -> (b, h*w, 4)
    target_bboxes = gt_bboxes.view(-1, gt_bboxes.shape[-1])[target_gt_idx]

    # Assigned target scores
    target_labels.clamp_(0)

    # 10x faster than F.one_hot()
    target_scores = torch.zeros(
        (target_labels.shape[0], target_labels.shape[1], self.num_classes),
        dtype=torch.int64,
        device=target_labels.device,
    )  # (b, h*w, 80)
    target_scores.scatter_(2, target_labels.unsqueeze(-1), 1)

    fg_scores_mask = fg_mask[:, :, None].repeat(1, 1, self.num_classes)  # (b, h*w, 80)
    target_scores = torch.where(fg_scores_mask > 0, target_scores, 0)

    return target_labels, target_bboxes, target_scores

def iou_calculation(self, gt_bboxes, pd_bboxes):
    """IoU calculation for horizontal bounding boxes."""
    return bbox_iou(gt_bboxes, pd_bboxes, xywh=False, CIoU=True).squeeze(-1).clamp_(0)

@staticmethod
def select_candidates_in_gts(xy_centers, gt_bboxes, eps=1e-9):
    """
    Select positive anchor centers within ground truth bounding boxes.

    Args:
        xy_centers (torch.Tensor): Anchor center coordinates, shape (h*w, 2).
        gt_bboxes (torch.Tensor): Ground truth bounding boxes, shape (b, n_boxes, 4).
        eps (float, optional): Small value for numerical stability. Defaults to 1e-9.

    Returns:
        (torch.Tensor): Boolean mask of positive anchors, shape (b, n_boxes, h*w).

    Note:
        b: batch size, n_boxes: number of ground truth boxes, h: height, w: width.
        Bounding box format: [x_min, y_min, x_max, y_max].
    """
    n_anchors = xy_centers.shape[0]
    bs, n_boxes, _ = gt_bboxes.shape
    lt, rb = gt_bboxes.view(-1, 1, 4).chunk(2, 2)  # left-top, right-bottom
    bbox_deltas = torch.cat((xy_centers[None] - lt, rb - xy_centers[None]), dim=2).view(bs, n_boxes, n_anchors, -1)
    # return (bbox_deltas.min(3)[0] > eps).to(gt_bboxes.dtype)
    return bbox_deltas.amin(3).gt_(eps)

@staticmethod
def select_highest_overlaps(mask_pos, overlaps, n_max_boxes):
    """
    Select anchor boxes with highest IoU when assigned to multiple ground truths.

    Args:
        mask_pos (torch.Tensor): Positive mask, shape (b, n_max_boxes, h*w).
        overlaps (torch.Tensor): IoU overlaps, shape (b, n_max_boxes, h*w).
        n_max_boxes (int): Maximum number of ground truth boxes.

    Returns:
        target_gt_idx (torch.Tensor): Indices of assigned ground truths, shape (b, h*w).
        fg_mask (torch.Tensor): Foreground mask, shape (b, h*w).
        mask_pos (torch.Tensor): Updated positive mask, shape (b, n_max_boxes, h*w).

    Note:
        b: batch size, h: height, w: width.
    """
    # Convert (b, n_max_boxes, h*w) -> (b, h*w)
    fg_mask = mask_pos.sum(-2)
    if fg_mask.max() > 1:  # one anchor is assigned to multiple gt_bboxes
        mask_multi_gts = (fg_mask.unsqueeze(1) > 1).expand(-1, n_max_boxes, -1)  # (b, n_max_boxes, h*w)
        max_overlaps_idx = overlaps.argmax(1)  # (b, h*w)

        is_max_overlaps = torch.zeros(mask_pos.shape, dtype=mask_pos.dtype, device=mask_pos.device)
        is_max_overlaps.scatter_(1, max_overlaps_idx.unsqueeze(1), 1)

        mask_pos = torch.where(mask_multi_gts, is_max_overlaps, mask_pos).float()  # (b, n_max_boxes, h*w)
        fg_mask = mask_pos.sum(-2)
    # Find each grid serve which gt(index)
    target_gt_idx = mask_pos.argmax(-2)  # (b, h*w)
    return target_gt_idx, fg_mask, mask_pos

def select_topk_candidates(self, metrics, largest=True, topk_mask=None):
    """
    Select the top-k candidates based on the given metrics.

    Args:
        metrics (Tensor): A tensor of shape (b, max_num_obj, h*w), where b is the batch size,
                          max_num_obj is the maximum number of objects, and h*w represents the
                          total number of anchor points.
        largest (bool): If True, select the largest values; otherwise, select the smallest values.
        topk_mask (Tensor): An optional boolean tensor of shape (b, max_num_obj, topk), where
                            topk is the number of top candidates to consider. If not provided,
                            the top-k values are automatically computed based on the given metrics.

    Returns:
        (Tensor): A tensor of shape (b, max_num_obj, h*w) containing the selected top-k candidates.
    """
    # (b, max_num_obj, topk)
    topk_metrics, topk_idxs = torch.topk(metrics, self.topk, dim=-1, largest=largest)
    if topk_mask is None:
        topk_mask = (topk_metrics.max(-1, keepdim=True)[0] > self.eps).expand_as(topk_idxs)
    # (b, max_num_obj, topk)
    topk_idxs.masked_fill_(~topk_mask, 0)

    # (b, max_num_obj, topk, h*w) -> (b, max_num_obj, h*w)
    count_tensor = torch.zeros(metrics.shape, dtype=torch.int8, device=topk_idxs.device)
    ones = torch.ones_like(topk_idxs[:, :, :1], dtype=torch.int8, device=topk_idxs.device)
    for k in range(self.topk):
        # Expand topk_idxs for each value of k and add 1 at the specified positions
        count_tensor.scatter_add_(-1, topk_idxs[:, :, k : k + 1], ones)
    # count_tensor.scatter_add_(-1, topk_idxs, torch.ones_like(topk_idxs, dtype=torch.int8, device=topk_idxs.device))
    # Filter invalid bboxes
    count_tensor.masked_fill_(count_tensor > 1, 0)

    return count_tensor.to(metrics.dtype)

def iou_calculation(self, gt_bboxes, pd_bboxes):
    """IoU calculation for rotated bounding boxes."""
    return probiou(gt_bboxes, pd_bboxes).squeeze(-1).clamp_(0)

@staticmethod
def select_candidates_in_gts(xy_centers, gt_bboxes):
    """
    Select the positive anchor center in gt for rotated bounding boxes.

    Args:
        xy_centers (Tensor): shape(h*w, 2)
        gt_bboxes (Tensor): shape(b, n_boxes, 5)

    Returns:
        (Tensor): shape(b, n_boxes, h*w)
    """
    # (b, n_boxes, 5) --> (b, n_boxes, 4, 2)
    corners = xywhr2xyxyxyxy(gt_bboxes)
    # (b, n_boxes, 1, 2)
    a, b, _, d = corners.split(1, dim=-2)
    ab = b - a
    ad = d - a

    # (b, n_boxes, h*w, 2)
    ap = xy_centers - a
    norm_ab = (ab * ab).sum(dim=-1)
    norm_ad = (ad * ad).sum(dim=-1)
    ap_dot_ab = (ap * ab).sum(dim=-1)
    ap_dot_ad = (ap * ad).sum(dim=-1)
    return (ap_dot_ab >= 0) & (ap_dot_ab <= norm_ab) & (ap_dot_ad >= 0) & (ap_dot_ad <= norm_ad)  # is_in_box