Beispiel #1
0
    def create_roidb_from_box_list(self, box_list, gt_roidb):
        assert len(box_list) == self.num_images, \
                'Number of boxes must match number of ground-truth images'
        roidb = []
        for i in range(self.num_images):
            boxes = box_list[i]
            num_boxes = boxes.shape[0]
            overlaps = np.zeros((num_boxes, self.num_classes),
                                dtype=np.float32)

            if gt_roidb is not None and gt_roidb[i]['boxes'].size > 0:
                gt_boxes = gt_roidb[i]['boxes']
                gt_classes = gt_roidb[i]['gt_classes']
                gt_overlaps = bbox_overlaps(boxes.astype(np.float),
                                            gt_boxes.astype(np.float))
                argmaxes = gt_overlaps.argmax(axis=1)
                maxes = gt_overlaps.max(axis=1)
                I = np.where(maxes > 0)[0]
                overlaps[I, gt_classes[argmaxes[I]]] = maxes[I]

            overlaps = scipy.sparse.csr_matrix(overlaps)
            roidb.append({
                'boxes':
                boxes,
                'gt_classes':
                np.zeros((num_boxes, ), dtype=np.int32),
                'gt_overlaps':
                overlaps,
                'flipped':
                False,
                'seg_areas':
                np.zeros((num_boxes, ), dtype=np.float32),
            })
        return roidb
def _sample_rois(all_rois, gt_boxes, fg_rois_per_image, rois_per_image,
                 num_classes):
    """Generate a random sample of RoIs comprising foreground and background
    examples.
    """
    # overlaps: (rois x gt_boxes)
    overlaps = bbox_overlaps(
        np.ascontiguousarray(all_rois[:, 1:5], dtype=np.float),
        np.ascontiguousarray(gt_boxes[:, :4], dtype=np.float))
    gt_assignment = overlaps.argmax(axis=1)
    max_overlaps = overlaps.max(axis=1)
    labels = gt_boxes[gt_assignment, 4]

    # Select foreground RoIs as those with >= FG_THRESH overlap
    fg_inds = np.where(max_overlaps >= cfg.TRAIN.FG_THRESH)[0]
    # Guard against the case when an image has fewer than fg_rois_per_image
    # foreground RoIs
    fg_rois_per_this_image = min(fg_rois_per_image, fg_inds.size)
    # Sample foreground regions without replacement
    if fg_inds.size > 0:
        fg_inds = npr.choice(fg_inds,
                             size=fg_rois_per_this_image,
                             replace=False)

    # Select background RoIs as those within [BG_THRESH_LO, BG_THRESH_HI)
    bg_inds = np.where((max_overlaps < cfg.TRAIN.BG_THRESH_HI)
                       & (max_overlaps >= cfg.TRAIN.BG_THRESH_LO))[0]
    # Compute number of background RoIs to take from this image (guarding
    # against there being fewer than desired)
    bg_rois_per_this_image = rois_per_image - fg_rois_per_this_image
    bg_rois_per_this_image = min(bg_rois_per_this_image, bg_inds.size)
    # Sample background regions without replacement
    if bg_inds.size > 0:
        bg_inds = npr.choice(bg_inds,
                             size=bg_rois_per_this_image,
                             replace=False)

    # The indices that we're selecting (both fg and bg)
    keep_inds = np.append(fg_inds, bg_inds)
    # Select sampled values from various arrays:
    labels = labels[keep_inds]
    # Clamp labels for the background RoIs to 0
    labels[fg_rois_per_this_image:] = 0
    rois = all_rois[keep_inds]

    bbox_target_data = _compute_targets(rois[:, 1:5],
                                        gt_boxes[gt_assignment[keep_inds], :4],
                                        labels)

    bbox_targets, bbox_inside_weights = \
        _get_bbox_regression_labels(bbox_target_data, num_classes)

    return labels, rois, bbox_targets, bbox_inside_weights
def _sample_rois(all_rois, gt_boxes, fg_rois_per_image, rois_per_image, num_classes):
    """Generate a random sample of RoIs comprising foreground and background
    examples.
    """
    # overlaps: (rois x gt_boxes)
    overlaps = bbox_overlaps(
        np.ascontiguousarray(all_rois[:, 1:5], dtype=np.float),
        np.ascontiguousarray(gt_boxes[:, :4], dtype=np.float))
    gt_assignment = overlaps.argmax(axis=1)
    max_overlaps = overlaps.max(axis=1)
    labels = gt_boxes[gt_assignment, 4]

    # Select foreground RoIs as those with >= FG_THRESH overlap
    fg_inds = np.where(max_overlaps >= cfg.TRAIN.FG_THRESH)[0]
    # Guard against the case when an image has fewer than fg_rois_per_image
    # foreground RoIs
    fg_rois_per_this_image = min(fg_rois_per_image, fg_inds.size)
    # Sample foreground regions without replacement
    if fg_inds.size > 0:
        fg_inds = npr.choice(fg_inds, size=fg_rois_per_this_image, replace=False)

    # Select background RoIs as those within [BG_THRESH_LO, BG_THRESH_HI)
    bg_inds = np.where((max_overlaps < cfg.TRAIN.BG_THRESH_HI) &
                       (max_overlaps >= cfg.TRAIN.BG_THRESH_LO))[0]
    # Compute number of background RoIs to take from this image (guarding
    # against there being fewer than desired)
    bg_rois_per_this_image = rois_per_image - fg_rois_per_this_image
    bg_rois_per_this_image = min(bg_rois_per_this_image, bg_inds.size)
    # Sample background regions without replacement
    if bg_inds.size > 0:
        bg_inds = npr.choice(bg_inds, size=bg_rois_per_this_image, replace=False)

    # The indices that we're selecting (both fg and bg)
    keep_inds = np.append(fg_inds, bg_inds)
    # Select sampled values from various arrays:
    labels = labels[keep_inds]
    # Clamp labels for the background RoIs to 0
    labels[fg_rois_per_this_image:] = 0
    rois = all_rois[keep_inds]

    bbox_target_data = _compute_targets(
        rois[:, 1:5], gt_boxes[gt_assignment[keep_inds], :4], labels)

    bbox_targets, bbox_inside_weights = \
        _get_bbox_regression_labels(bbox_target_data, num_classes)

    return labels, rois, bbox_targets, bbox_inside_weights
def _anchor_target_layer_py(rpn_cls_score, gt_boxes, im_dims, _feat_stride, anchor_scales):
    """
    Python version    
    
    Assign anchors to ground-truth targets. Produces anchor classification
    labels and bounding-box regression targets.
    
    # Algorithm:
    #
    # for each (H, W) location i
    #   generate 9 anchor boxes centered on cell i
    #   apply predicted bbox deltas at cell i to each of the 9 anchors
    # filter out-of-image anchors
    # measure GT overlap
    """
    im_dims = im_dims[0]
    _anchors = generate_anchors(scales=np.array(anchor_scales))
    _num_anchors = _anchors.shape[0]
    
    # allow boxes to sit over the edge by a small amount
    _allowed_border =  0
    
    # Only minibatch of 1 supported
    assert rpn_cls_score.shape[0] == 1, \
        'Only single item batches are supported'    
    
    # map of shape (..., H, W)
    height, width = rpn_cls_score.shape[1:3]
    
    # 1. Generate proposals from bbox deltas and shifted anchors
    shift_x = np.arange(0, width) * _feat_stride
    shift_y = np.arange(0, height) * _feat_stride
    shift_x, shift_y = np.meshgrid(shift_x, shift_y)
    shifts = np.vstack((shift_x.ravel(), shift_y.ravel(),
                        shift_x.ravel(), shift_y.ravel())).transpose()
    
    # add A anchors (1, A, 4) to
    # cell K shifts (K, 1, 4) to get
    # shift anchors (K, A, 4)
    # reshape to (K*A, 4) shifted anchors
    A = _num_anchors
    K = shifts.shape[0]
    all_anchors = (_anchors.reshape((1, A, 4)) +
                   shifts.reshape((1, K, 4)).transpose((1, 0, 2)))
    all_anchors = all_anchors.reshape((K * A, 4))
    total_anchors = int(K * A)
    
    # anchors inside the image
    inds_inside = np.where(
        (all_anchors[:, 0] >= -_allowed_border) &
        (all_anchors[:, 1] >= -_allowed_border) &
        (all_anchors[:, 2] < im_dims[1] + _allowed_border) &  # width
        (all_anchors[:, 3] < im_dims[0] + _allowed_border)    # height
    )[0]
    
    # keep only inside anchors
    anchors = all_anchors[inds_inside, :]
    
    # label: 1 is positive, 0 is negative, -1 is dont care
    labels = np.empty((len(inds_inside), ), dtype=np.float32)
    labels.fill(-1)
    
    # overlaps between the anchors and the gt boxes
    # overlaps (ex, gt)
    overlaps = bbox_overlaps(
        np.ascontiguousarray(anchors, dtype=np.float),
        np.ascontiguousarray(gt_boxes, dtype=np.float))
    argmax_overlaps = overlaps.argmax(axis=1)
    max_overlaps = overlaps[np.arange(len(inds_inside)), argmax_overlaps]
    gt_argmax_overlaps = overlaps.argmax(axis=0)
    gt_max_overlaps = overlaps[gt_argmax_overlaps,
                               np.arange(overlaps.shape[1])]
    gt_argmax_overlaps = np.where(overlaps == gt_max_overlaps)[0]
    
    if not cfg.TRAIN.RPN_CLOBBER_POSITIVES:
        # assign bg labels first so that positive labels can clobber them
        labels[max_overlaps < cfg.TRAIN.RPN_NEGATIVE_OVERLAP] = 0

    # fg label: for each gt, anchor with highest overlap
    labels[gt_argmax_overlaps] = 1

    # fg label: above threshold IOU
    labels[max_overlaps >= cfg.TRAIN.RPN_POSITIVE_OVERLAP] = 1

    if cfg.TRAIN.RPN_CLOBBER_POSITIVES:
        # assign bg labels last so that negative labels can clobber positives
        labels[max_overlaps < cfg.TRAIN.RPN_NEGATIVE_OVERLAP] = 0

    # subsample positive labels if we have too many
    num_fg = int(cfg.TRAIN.RPN_FG_FRACTION * cfg.TRAIN.RPN_BATCHSIZE)
    fg_inds = np.where(labels == 1)[0]
    if len(fg_inds) > num_fg:
        disable_inds = npr.choice(
            fg_inds, size=(len(fg_inds) - num_fg), replace=False)
        labels[disable_inds] = -1

    # subsample negative labels if we have too many
    num_bg = cfg.TRAIN.RPN_BATCHSIZE - np.sum(labels == 1)
    bg_inds = np.where(labels == 0)[0]
    if len(bg_inds) > num_bg:
        disable_inds = npr.choice(
            bg_inds, size=(len(bg_inds) - num_bg), replace=False)
        labels[disable_inds] = -1

    # bbox_targets: The deltas (relative to anchors) that Faster R-CNN should 
    # try to predict at each anchor
    # TODO: This "weights" business might be deprecated. Requires investigation
    bbox_targets = np.zeros((len(inds_inside), 4), dtype=np.float32)
    bbox_targets = _compute_targets(anchors, gt_boxes[argmax_overlaps, :])

    bbox_inside_weights = np.zeros((len(inds_inside), 4), dtype=np.float32)
    bbox_inside_weights[labels == 1, :] = np.array(cfg.TRAIN.RPN_BBOX_INSIDE_WEIGHTS)

    bbox_outside_weights = np.zeros((len(inds_inside), 4), dtype=np.float32)
    if cfg.TRAIN.RPN_POSITIVE_WEIGHT < 0:
        # uniform weighting of examples (given non-uniform sampling)
        num_examples = np.sum(labels >= 0)
        positive_weights = np.ones((1, 4)) * 1.0 / num_examples
        negative_weights = np.ones((1, 4)) * 1.0 / num_examples
    else:
        assert ((cfg.TRAIN.RPN_POSITIVE_WEIGHT > 0) &
                (cfg.TRAIN.RPN_POSITIVE_WEIGHT < 1))
        positive_weights = (cfg.TRAIN.RPN_POSITIVE_WEIGHT /
                            np.sum(labels == 1))
        negative_weights = ((1.0 - cfg.TRAIN.RPN_POSITIVE_WEIGHT) /
                            np.sum(labels == 0))
    bbox_outside_weights[labels == 1, :] = positive_weights
    bbox_outside_weights[labels == 0, :] = negative_weights

    # map up to original set of anchors
    labels = _unmap(labels, total_anchors, inds_inside, fill=-1)
    bbox_targets = _unmap(bbox_targets, total_anchors, inds_inside, fill=0)
    bbox_inside_weights = _unmap(bbox_inside_weights, total_anchors, inds_inside, fill=0)
    bbox_outside_weights = _unmap(bbox_outside_weights, total_anchors, inds_inside, fill=0)
    
    # labels
    labels = labels.reshape((1, height, width, A)).transpose(0, 3, 1, 2)
    labels = labels.reshape((1, 1, A * height, width))
    rpn_labels = labels

    # bbox_targets
    rpn_bbox_targets = bbox_targets.reshape((1, height, width, A * 4)).transpose(0, 3, 1, 2)
    
    # bbox_inside_weights
    rpn_bbox_inside_weights = bbox_inside_weights.reshape((1, height, width, A * 4)).transpose(0, 3, 1, 2)

    # bbox_outside_weights
    rpn_bbox_outside_weights = bbox_outside_weights.reshape((1, height, width, A * 4)).transpose(0, 3, 1, 2)

    return rpn_labels,rpn_bbox_targets,rpn_bbox_inside_weights,rpn_bbox_outside_weights  
def _anchor_target_layer_py(rpn_cls_score, gt_boxes, im_dims, _feat_stride,
                            anchor_scales):
    """
    Python version    
    
    Assign anchors to ground-truth targets. Produces anchor classification
    labels and bounding-box regression targets.
    
    # Algorithm:
    #
    # for each (H, W) location i
    #   generate 9 anchor boxes centered on cell i
    #   apply predicted bbox deltas at cell i to each of the 9 anchors
    # filter out-of-image anchors
    # measure GT overlap
    """
    im_dims = im_dims[0]
    _anchors = generate_anchors(scales=np.array(anchor_scales))
    _num_anchors = _anchors.shape[0]

    # allow boxes to sit over the edge by a small amount
    _allowed_border = 0

    # Only minibatch of 1 supported
    assert rpn_cls_score.shape[0] == 1, \
        'Only single item batches are supported'

    # map of shape (..., H, W)
    height, width = rpn_cls_score.shape[1:3]

    # 1. Generate proposals from bbox deltas and shifted anchors
    shift_x = np.arange(0, width) * _feat_stride
    shift_y = np.arange(0, height) * _feat_stride
    shift_x, shift_y = np.meshgrid(shift_x, shift_y)
    shifts = np.vstack((shift_x.ravel(), shift_y.ravel(), shift_x.ravel(),
                        shift_y.ravel())).transpose()

    # add A anchors (1, A, 4) to
    # cell K shifts (K, 1, 4) to get
    # shift anchors (K, A, 4)
    # reshape to (K*A, 4) shifted anchors
    A = _num_anchors
    K = shifts.shape[0]
    all_anchors = (_anchors.reshape((1, A, 4)) + shifts.reshape(
        (1, K, 4)).transpose((1, 0, 2)))
    all_anchors = all_anchors.reshape((K * A, 4))
    total_anchors = int(K * A)

    # anchors inside the image
    inds_inside = np.where(
        (all_anchors[:, 0] >= -_allowed_border)
        & (all_anchors[:, 1] >= -_allowed_border)
        & (all_anchors[:, 2] < im_dims[1] + _allowed_border) &  # width
        (all_anchors[:, 3] < im_dims[0] + _allowed_border)  # height
    )[0]

    # keep only inside anchors
    anchors = all_anchors[inds_inside, :]

    # label: 1 is positive, 0 is negative, -1 is dont care
    labels = np.empty((len(inds_inside), ), dtype=np.float32)
    labels.fill(-1)

    # overlaps between the anchors and the gt boxes
    # overlaps (ex, gt)
    overlaps = bbox_overlaps(np.ascontiguousarray(anchors, dtype=np.float),
                             np.ascontiguousarray(gt_boxes, dtype=np.float))
    argmax_overlaps = overlaps.argmax(axis=1)
    max_overlaps = overlaps[np.arange(len(inds_inside)), argmax_overlaps]
    gt_argmax_overlaps = overlaps.argmax(axis=0)
    gt_max_overlaps = overlaps[gt_argmax_overlaps,
                               np.arange(overlaps.shape[1])]
    gt_argmax_overlaps = np.where(overlaps == gt_max_overlaps)[0]

    if not cfg.TRAIN.RPN_CLOBBER_POSITIVES:
        # assign bg labels first so that positive labels can clobber them
        labels[max_overlaps < cfg.TRAIN.RPN_NEGATIVE_OVERLAP] = 0

    # fg label: for each gt, anchor with highest overlap
    labels[gt_argmax_overlaps] = 1

    # fg label: above threshold IOU
    labels[max_overlaps >= cfg.TRAIN.RPN_POSITIVE_OVERLAP] = 1

    if cfg.TRAIN.RPN_CLOBBER_POSITIVES:
        # assign bg labels last so that negative labels can clobber positives
        labels[max_overlaps < cfg.TRAIN.RPN_NEGATIVE_OVERLAP] = 0

    # subsample positive labels if we have too many
    num_fg = int(cfg.TRAIN.RPN_FG_FRACTION * cfg.TRAIN.RPN_BATCHSIZE)
    fg_inds = np.where(labels == 1)[0]
    if len(fg_inds) > num_fg:
        disable_inds = npr.choice(fg_inds,
                                  size=(len(fg_inds) - num_fg),
                                  replace=False)
        labels[disable_inds] = -1

    # subsample negative labels if we have too many
    num_bg = cfg.TRAIN.RPN_BATCHSIZE - np.sum(labels == 1)
    bg_inds = np.where(labels == 0)[0]
    if len(bg_inds) > num_bg:
        disable_inds = npr.choice(bg_inds,
                                  size=(len(bg_inds) - num_bg),
                                  replace=False)
        labels[disable_inds] = -1

    # bbox_targets: The deltas (relative to anchors) that Faster R-CNN should
    # try to predict at each anchor
    # TODO: This "weights" business might be deprecated. Requires investigation
    bbox_targets = np.zeros((len(inds_inside), 4), dtype=np.float32)
    bbox_targets = _compute_targets(anchors, gt_boxes[argmax_overlaps, :])

    bbox_inside_weights = np.zeros((len(inds_inside), 4), dtype=np.float32)
    bbox_inside_weights[labels == 1, :] = np.array(
        cfg.TRAIN.RPN_BBOX_INSIDE_WEIGHTS)

    bbox_outside_weights = np.zeros((len(inds_inside), 4), dtype=np.float32)
    if cfg.TRAIN.RPN_POSITIVE_WEIGHT < 0:
        # uniform weighting of examples (given non-uniform sampling)
        num_examples = np.sum(labels >= 0)
        positive_weights = np.ones((1, 4)) * 1.0 / num_examples
        negative_weights = np.ones((1, 4)) * 1.0 / num_examples
    else:
        assert ((cfg.TRAIN.RPN_POSITIVE_WEIGHT > 0) &
                (cfg.TRAIN.RPN_POSITIVE_WEIGHT < 1))
        positive_weights = (cfg.TRAIN.RPN_POSITIVE_WEIGHT /
                            np.sum(labels == 1))
        negative_weights = ((1.0 - cfg.TRAIN.RPN_POSITIVE_WEIGHT) /
                            np.sum(labels == 0))
    bbox_outside_weights[labels == 1, :] = positive_weights
    bbox_outside_weights[labels == 0, :] = negative_weights

    # map up to original set of anchors
    labels = _unmap(labels, total_anchors, inds_inside, fill=-1)
    bbox_targets = _unmap(bbox_targets, total_anchors, inds_inside, fill=0)
    bbox_inside_weights = _unmap(bbox_inside_weights,
                                 total_anchors,
                                 inds_inside,
                                 fill=0)
    bbox_outside_weights = _unmap(bbox_outside_weights,
                                  total_anchors,
                                  inds_inside,
                                  fill=0)

    # labels
    labels = labels.reshape((1, height, width, A)).transpose(0, 3, 1, 2)
    labels = labels.reshape((1, 1, A * height, width))
    rpn_labels = labels

    # bbox_targets
    rpn_bbox_targets = bbox_targets.reshape(
        (1, height, width, A * 4))  #.transpose(0, 3, 1, 2)

    # bbox_inside_weights
    rpn_bbox_inside_weights = bbox_inside_weights.reshape(
        (1, height, width, A * 4))  #.transpose(0, 3, 1, 2)

    # bbox_outside_weights
    rpn_bbox_outside_weights = bbox_outside_weights.reshape(
        (1, height, width, A * 4))  #.transpose(0, 3, 1, 2)

    return rpn_labels, rpn_bbox_targets, rpn_bbox_inside_weights, rpn_bbox_outside_weights
Beispiel #6
0
    def evaluate_recall(self,
                        candidate_boxes=None,
                        thresholds=None,
                        area='all',
                        limit=None):
        """Evaluate detection proposal recall metrics.

        Returns:
            results: dictionary of results with keys
                'ar': average recall
                'recalls': vector recalls at each IoU overlap threshold
                'thresholds': vector of IoU overlap thresholds
                'gt_overlaps': vector of all ground-truth overlaps
        """
        # Record max overlap value for each gt box
        # Return vector of overlap values
        areas = {
            'all': 0,
            'small': 1,
            'medium': 2,
            'large': 3,
            '96-128': 4,
            '128-256': 5,
            '256-512': 6,
            '512-inf': 7
        }
        area_ranges = [
            [0**2, 1e5**2],  # all
            [0**2, 32**2],  # small
            [32**2, 96**2],  # medium
            [96**2, 1e5**2],  # large
            [96**2, 128**2],  # 96-128
            [128**2, 256**2],  # 128-256
            [256**2, 512**2],  # 256-512
            [512**2, 1e5**2],  # 512-inf
        ]
        assert areas.has_key(area), 'unknown area range: {}'.format(area)
        area_range = area_ranges[areas[area]]
        gt_overlaps = np.zeros(0)
        num_pos = 0
        for i in range(self.num_images):
            # Checking for max_overlaps == 1 avoids including crowd annotations
            # (...pretty hacking :/)
            max_gt_overlaps = self.roidb[i]['gt_overlaps'].toarray().max(
                axis=1)
            gt_inds = np.where((self.roidb[i]['gt_classes'] > 0)
                               & (max_gt_overlaps == 1))[0]
            gt_boxes = self.roidb[i]['boxes'][gt_inds, :]
            gt_areas = self.roidb[i]['seg_areas'][gt_inds]
            valid_gt_inds = np.where((gt_areas >= area_range[0])
                                     & (gt_areas <= area_range[1]))[0]
            gt_boxes = gt_boxes[valid_gt_inds, :]
            num_pos += len(valid_gt_inds)

            if candidate_boxes is None:
                # If candidate_boxes is not supplied, the default is to use the
                # non-ground-truth boxes from this roidb
                non_gt_inds = np.where(self.roidb[i]['gt_classes'] == 0)[0]
                boxes = self.roidb[i]['boxes'][non_gt_inds, :]
            else:
                boxes = candidate_boxes[i]
            if boxes.shape[0] == 0:
                continue
            if limit is not None and boxes.shape[0] > limit:
                boxes = boxes[:limit, :]

            overlaps = bbox_overlaps(boxes.astype(np.float),
                                     gt_boxes.astype(np.float))

            _gt_overlaps = np.zeros((gt_boxes.shape[0]))
            for j in range(gt_boxes.shape[0]):
                # find which proposal box maximally covers each gt box
                argmax_overlaps = overlaps.argmax(axis=0)
                # and get the iou amount of coverage for each gt box
                max_overlaps = overlaps.max(axis=0)
                # find which gt box is 'best' covered (i.e. 'best' = most iou)
                gt_ind = max_overlaps.argmax()
                gt_ovr = max_overlaps.max()
                assert (gt_ovr >= 0)
                # find the proposal box that covers the best covered gt box
                box_ind = argmax_overlaps[gt_ind]
                # record the iou coverage of this gt box
                _gt_overlaps[j] = overlaps[box_ind, gt_ind]
                assert (_gt_overlaps[j] == gt_ovr)
                # mark the proposal box and the gt box as used
                overlaps[box_ind, :] = -1
                overlaps[:, gt_ind] = -1
            # append recorded iou coverage level
            gt_overlaps = np.hstack((gt_overlaps, _gt_overlaps))

        gt_overlaps = np.sort(gt_overlaps)
        if thresholds is None:
            step = 0.05
            thresholds = np.arange(0.5, 0.95 + 1e-5, step)
        recalls = np.zeros_like(thresholds)
        # compute recall for each iou threshold
        for i, t in enumerate(thresholds):
            recalls[i] = (gt_overlaps >= t).sum() / float(num_pos)
        # ar = 2 * np.trapz(recalls, thresholds)
        ar = recalls.mean()
        return {
            'ar': ar,
            'recalls': recalls,
            'thresholds': thresholds,
            'gt_overlaps': gt_overlaps
        }