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sam3/model/box_ops.py
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sam3/model/box_ops.py
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# Copyright (c) Meta Platforms, Inc. and affiliates. All Rights Reserved
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"""
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Utilities for bounding box manipulation and GIoU.
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"""
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from typing import Tuple
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import torch
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def box_cxcywh_to_xyxy(x):
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x_c, y_c, w, h = x.unbind(-1)
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b = [(x_c - 0.5 * w), (y_c - 0.5 * h), (x_c + 0.5 * w), (y_c + 0.5 * h)]
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return torch.stack(b, dim=-1)
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def box_cxcywh_to_xywh(x):
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x_c, y_c, w, h = x.unbind(-1)
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b = [(x_c - 0.5 * w), (y_c - 0.5 * h), (w), (h)]
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return torch.stack(b, dim=-1)
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def box_xywh_to_xyxy(x):
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x, y, w, h = x.unbind(-1)
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b = [(x), (y), (x + w), (y + h)]
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return torch.stack(b, dim=-1)
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def box_xywh_to_cxcywh(x):
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x, y, w, h = x.unbind(-1)
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b = [(x + 0.5 * w), (y + 0.5 * h), (w), (h)]
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return torch.stack(b, dim=-1)
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def box_xyxy_to_xywh(x):
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x, y, X, Y = x.unbind(-1)
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b = [(x), (y), (X - x), (Y - y)]
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return torch.stack(b, dim=-1)
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def box_xyxy_to_cxcywh(x):
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x0, y0, x1, y1 = x.unbind(-1)
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b = [(x0 + x1) / 2, (y0 + y1) / 2, (x1 - x0), (y1 - y0)]
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return torch.stack(b, dim=-1)
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def box_area(boxes):
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"""
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Batched version of box area. Boxes should be in [x0, y0, x1, y1] format.
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Inputs:
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- boxes: Tensor of shape (..., 4)
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Returns:
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- areas: Tensor of shape (...,)
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"""
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x0, y0, x1, y1 = boxes.unbind(-1)
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return (x1 - x0) * (y1 - y0)
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def masks_to_boxes(masks):
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"""Compute the bounding boxes around the provided masks
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The masks should be in format [N, H, W] where N is the number of masks, (H, W) are the spatial dimensions.
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Returns a [N, 4] tensors, with the boxes in xyxy format
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"""
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if masks.numel() == 0:
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return torch.zeros((0, 4), device=masks.device)
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h, w = masks.shape[-2:]
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y = torch.arange(0, h, dtype=torch.float, device=masks.device)
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x = torch.arange(0, w, dtype=torch.float, device=masks.device)
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y, x = torch.meshgrid(y, x)
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x_mask = masks * x.unsqueeze(0)
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x_max = x_mask.flatten(1).max(-1)[0] + 1
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x_min = x_mask.masked_fill(~(masks.bool()), 1e8).flatten(1).min(-1)[0]
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y_mask = masks * y.unsqueeze(0)
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y_max = y_mask.flatten(1).max(-1)[0] + 1
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y_min = y_mask.masked_fill(~(masks.bool()), 1e8).flatten(1).min(-1)[0]
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boxes = torch.stack([x_min, y_min, x_max, y_max], 1)
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# Invalidate boxes corresponding to empty masks.
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boxes = boxes * masks.flatten(-2).any(-1)
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return boxes
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def box_iou(boxes1, boxes2):
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"""
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Batched version of box_iou. Boxes should be in [x0, y0, x1, y1] format.
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Inputs:
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- boxes1: Tensor of shape (..., N, 4)
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- boxes2: Tensor of shape (..., M, 4)
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Returns:
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- iou, union: Tensors of shape (..., N, M)
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"""
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area1 = box_area(boxes1)
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area2 = box_area(boxes2)
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# boxes1: (..., N, 4) -> (..., N, 1, 2)
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# boxes2: (..., M, 4) -> (..., 1, M, 2)
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lt = torch.max(boxes1[..., :, None, :2], boxes2[..., None, :, :2])
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rb = torch.min(boxes1[..., :, None, 2:], boxes2[..., None, :, 2:])
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wh = (rb - lt).clamp(min=0) # (..., N, M, 2)
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inter = wh[..., 0] * wh[..., 1] # (..., N, M)
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union = area1[..., None] + area2[..., None, :] - inter
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iou = inter / union
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return iou, union
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def generalized_box_iou(boxes1, boxes2):
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"""
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Batched version of Generalized IoU from https://giou.stanford.edu/
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Boxes should be in [x0, y0, x1, y1] format
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Inputs:
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- boxes1: Tensor of shape (..., N, 4)
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- boxes2: Tensor of shape (..., M, 4)
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Returns:
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- giou: Tensor of shape (..., N, M)
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"""
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iou, union = box_iou(boxes1, boxes2)
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# boxes1: (..., N, 4) -> (..., N, 1, 2)
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# boxes2: (..., M, 4) -> (..., 1, M, 2)
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lt = torch.min(boxes1[..., :, None, :2], boxes2[..., None, :, :2])
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rb = torch.max(boxes1[..., :, None, 2:], boxes2[..., None, :, 2:])
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wh = (rb - lt).clamp(min=0) # (..., N, M, 2)
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area = wh[..., 0] * wh[..., 1] # (..., N, M)
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return iou - (area - union) / area
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@torch.jit.script
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def fast_diag_generalized_box_iou(boxes1, boxes2):
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assert len(boxes1) == len(boxes2)
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box1_xy = boxes1[:, 2:]
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box1_XY = boxes1[:, :2]
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box2_xy = boxes2[:, 2:]
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box2_XY = boxes2[:, :2]
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# assert (box1_xy >= box1_XY).all()
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# assert (box2_xy >= box2_XY).all()
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area1 = (box1_xy - box1_XY).prod(-1)
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area2 = (box2_xy - box2_XY).prod(-1)
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lt = torch.max(box1_XY, box2_XY) # [N,2]
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lt2 = torch.min(box1_XY, box2_XY)
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rb = torch.min(box1_xy, box2_xy) # [N,2]
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rb2 = torch.max(box1_xy, box2_xy)
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inter = (rb - lt).clamp(min=0).prod(-1)
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tot_area = (rb2 - lt2).clamp(min=0).prod(-1)
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union = area1 + area2 - inter
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iou = inter / union
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return iou - (tot_area - union) / tot_area
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@torch.jit.script
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def fast_diag_box_iou(boxes1, boxes2):
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assert len(boxes1) == len(boxes2)
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box1_xy = boxes1[:, 2:]
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box1_XY = boxes1[:, :2]
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box2_xy = boxes2[:, 2:]
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box2_XY = boxes2[:, :2]
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# assert (box1_xy >= box1_XY).all()
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# assert (box2_xy >= box2_XY).all()
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area1 = (box1_xy - box1_XY).prod(-1)
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area2 = (box2_xy - box2_XY).prod(-1)
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lt = torch.max(box1_XY, box2_XY) # [N,2]
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rb = torch.min(box1_xy, box2_xy) # [N,2]
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inter = (rb - lt).clamp(min=0).prod(-1)
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union = area1 + area2 - inter
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iou = inter / union
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return iou
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def box_xywh_inter_union(
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boxes1: torch.Tensor, boxes2: torch.Tensor
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) -> Tuple[torch.Tensor, torch.Tensor]:
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# Asuumes boxes in xywh format
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assert boxes1.size(-1) == 4 and boxes2.size(-1) == 4
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boxes1 = box_xywh_to_xyxy(boxes1)
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boxes2 = box_xywh_to_xyxy(boxes2)
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box1_tl_xy = boxes1[..., :2]
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box1_br_xy = boxes1[..., 2:]
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box2_tl_xy = boxes2[..., :2]
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box2_br_xy = boxes2[..., 2:]
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area1 = (box1_br_xy - box1_tl_xy).prod(-1)
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area2 = (box2_br_xy - box2_tl_xy).prod(-1)
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assert (area1 >= 0).all() and (area2 >= 0).all()
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tl = torch.max(box1_tl_xy, box2_tl_xy)
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br = torch.min(box1_br_xy, box2_br_xy)
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inter = (br - tl).clamp(min=0).prod(-1)
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union = area1 + area2 - inter
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return inter, union
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