| |
| """ |
| Utilities for bounding box manipulation and GIoU. |
| """ |
|
|
| from typing import Tuple |
|
|
| import torch |
|
|
|
|
| def box_cxcywh_to_xyxy(x): |
| x_c, y_c, w, h = x.unbind(-1) |
| b = [(x_c - 0.5 * w), (y_c - 0.5 * h), (x_c + 0.5 * w), (y_c + 0.5 * h)] |
| return torch.stack(b, dim=-1) |
|
|
|
|
| def box_cxcywh_to_xywh(x): |
| x_c, y_c, w, h = x.unbind(-1) |
| b = [(x_c - 0.5 * w), (y_c - 0.5 * h), (w), (h)] |
| return torch.stack(b, dim=-1) |
|
|
|
|
| def box_xywh_to_xyxy(x): |
| x, y, w, h = x.unbind(-1) |
| b = [(x), (y), (x + w), (y + h)] |
| return torch.stack(b, dim=-1) |
|
|
|
|
| def box_xywh_to_cxcywh(x): |
| x, y, w, h = x.unbind(-1) |
| b = [(x + 0.5 * w), (y + 0.5 * h), (w), (h)] |
| return torch.stack(b, dim=-1) |
|
|
|
|
| def box_xyxy_to_xywh(x): |
| x, y, X, Y = x.unbind(-1) |
| b = [(x), (y), (X - x), (Y - y)] |
| return torch.stack(b, dim=-1) |
|
|
|
|
| def box_xyxy_to_cxcywh(x): |
| x0, y0, x1, y1 = x.unbind(-1) |
| b = [(x0 + x1) / 2, (y0 + y1) / 2, (x1 - x0), (y1 - y0)] |
| return torch.stack(b, dim=-1) |
|
|
|
|
| def box_area(boxes): |
| """ |
| Batched version of box area. Boxes should be in [x0, y0, x1, y1] format. |
| |
| Inputs: |
| - boxes: Tensor of shape (..., 4) |
| |
| Returns: |
| - areas: Tensor of shape (...,) |
| """ |
| x0, y0, x1, y1 = boxes.unbind(-1) |
| return (x1 - x0) * (y1 - y0) |
|
|
|
|
| def masks_to_boxes(masks): |
| """Compute the bounding boxes around the provided masks |
| |
| The masks should be in format [N, H, W] where N is the number of masks, (H, W) are the spatial dimensions. |
| |
| Returns a [N, 4] tensors, with the boxes in xyxy format |
| """ |
| if masks.numel() == 0: |
| return torch.zeros((0, 4), device=masks.device) |
|
|
| h, w = masks.shape[-2:] |
|
|
| y = torch.arange(0, h, dtype=torch.float, device=masks.device) |
| x = torch.arange(0, w, dtype=torch.float, device=masks.device) |
| y, x = torch.meshgrid(y, x) |
|
|
| x_mask = masks * x.unsqueeze(0) |
| x_max = x_mask.flatten(1).max(-1)[0] + 1 |
| x_min = x_mask.masked_fill(~(masks.bool()), 1e8).flatten(1).min(-1)[0] |
|
|
| y_mask = masks * y.unsqueeze(0) |
| y_max = y_mask.flatten(1).max(-1)[0] + 1 |
| y_min = y_mask.masked_fill(~(masks.bool()), 1e8).flatten(1).min(-1)[0] |
|
|
| boxes = torch.stack([x_min, y_min, x_max, y_max], 1) |
| |
| boxes = boxes * masks.flatten(-2).any(-1) |
| return boxes |
|
|
|
|
| def box_iou(boxes1, boxes2): |
| """ |
| Batched version of box_iou. Boxes should be in [x0, y0, x1, y1] format. |
| |
| Inputs: |
| - boxes1: Tensor of shape (..., N, 4) |
| - boxes2: Tensor of shape (..., M, 4) |
| |
| Returns: |
| - iou, union: Tensors of shape (..., N, M) |
| """ |
| area1 = box_area(boxes1) |
| area2 = box_area(boxes2) |
|
|
| |
| |
| lt = torch.max(boxes1[..., :, None, :2], boxes2[..., None, :, :2]) |
| rb = torch.min(boxes1[..., :, None, 2:], boxes2[..., None, :, 2:]) |
|
|
| wh = (rb - lt).clamp(min=0) |
| inter = wh[..., 0] * wh[..., 1] |
|
|
| union = area1[..., None] + area2[..., None, :] - inter |
|
|
| iou = inter / union |
| return iou, union |
|
|
|
|
| def generalized_box_iou(boxes1, boxes2): |
| """ |
| Batched version of Generalized IoU from https://giou.stanford.edu/ |
| |
| Boxes should be in [x0, y0, x1, y1] format |
| |
| Inputs: |
| - boxes1: Tensor of shape (..., N, 4) |
| - boxes2: Tensor of shape (..., M, 4) |
| |
| Returns: |
| - giou: Tensor of shape (..., N, M) |
| """ |
| iou, union = box_iou(boxes1, boxes2) |
|
|
| |
| |
| lt = torch.min(boxes1[..., :, None, :2], boxes2[..., None, :, :2]) |
| rb = torch.max(boxes1[..., :, None, 2:], boxes2[..., None, :, 2:]) |
|
|
| wh = (rb - lt).clamp(min=0) |
| area = wh[..., 0] * wh[..., 1] |
|
|
| return iou - (area - union) / area |
|
|
|
|
| @torch.jit.script |
| def fast_diag_generalized_box_iou(boxes1, boxes2): |
| assert len(boxes1) == len(boxes2) |
| box1_xy = boxes1[:, 2:] |
| box1_XY = boxes1[:, :2] |
| box2_xy = boxes2[:, 2:] |
| box2_XY = boxes2[:, :2] |
| |
| |
| area1 = (box1_xy - box1_XY).prod(-1) |
| area2 = (box2_xy - box2_XY).prod(-1) |
|
|
| lt = torch.max(box1_XY, box2_XY) |
| lt2 = torch.min(box1_XY, box2_XY) |
| rb = torch.min(box1_xy, box2_xy) |
| rb2 = torch.max(box1_xy, box2_xy) |
|
|
| inter = (rb - lt).clamp(min=0).prod(-1) |
| tot_area = (rb2 - lt2).clamp(min=0).prod(-1) |
|
|
| union = area1 + area2 - inter |
|
|
| iou = inter / union |
|
|
| return iou - (tot_area - union) / tot_area |
|
|
|
|
| @torch.jit.script |
| def fast_diag_box_iou(boxes1, boxes2): |
| assert len(boxes1) == len(boxes2) |
| box1_xy = boxes1[:, 2:] |
| box1_XY = boxes1[:, :2] |
| box2_xy = boxes2[:, 2:] |
| box2_XY = boxes2[:, :2] |
| |
| |
| area1 = (box1_xy - box1_XY).prod(-1) |
| area2 = (box2_xy - box2_XY).prod(-1) |
|
|
| lt = torch.max(box1_XY, box2_XY) |
| rb = torch.min(box1_xy, box2_xy) |
|
|
| inter = (rb - lt).clamp(min=0).prod(-1) |
|
|
| union = area1 + area2 - inter |
|
|
| iou = inter / union |
|
|
| return iou |
|
|
|
|
| def box_xywh_inter_union( |
| boxes1: torch.Tensor, boxes2: torch.Tensor |
| ) -> Tuple[torch.Tensor, torch.Tensor]: |
| |
| assert boxes1.size(-1) == 4 and boxes2.size(-1) == 4 |
| boxes1 = box_xywh_to_xyxy(boxes1) |
| boxes2 = box_xywh_to_xyxy(boxes2) |
| box1_tl_xy = boxes1[..., :2] |
| box1_br_xy = boxes1[..., 2:] |
| box2_tl_xy = boxes2[..., :2] |
| box2_br_xy = boxes2[..., 2:] |
| area1 = (box1_br_xy - box1_tl_xy).prod(-1) |
| area2 = (box2_br_xy - box2_tl_xy).prod(-1) |
|
|
| assert (area1 >= 0).all() and (area2 >= 0).all() |
| tl = torch.max(box1_tl_xy, box2_tl_xy) |
| br = torch.min(box1_br_xy, box2_br_xy) |
|
|
| inter = (br - tl).clamp(min=0).prod(-1) |
| union = area1 + area2 - inter |
|
|
| return inter, union |
|
|