# Copyright (c) Facebook, Inc. and its affiliates.
import math
import numpy as np
from enum import IntEnum, unique
from typing import List, Tuple, Union
import torch
from torch import device
from detectron2.utils.env import TORCH_VERSION
_RawBoxType = Union[List[float], Tuple[float, ...], torch.Tensor, np.ndarray]
if TORCH_VERSION < (1, 8):
_maybe_jit_unused = torch.jit.unused
else:
def _maybe_jit_unused(x):
return x
@unique
class BoxMode(IntEnum):
"""
Enum of different ways to represent a box.
"""
XYXY_ABS = 0
"""
(x0, y0, x1, y1) in absolute floating points coordinates.
The coordinates in range [0, width or height].
"""
XYWH_ABS = 1
"""
(x0, y0, w, h) in absolute floating points coordinates.
"""
XYXY_REL = 2
"""
Not yet supported!
(x0, y0, x1, y1) in range [0, 1]. They are relative to the size of the image.
"""
XYWH_REL = 3
"""
Not yet supported!
(x0, y0, w, h) in range [0, 1]. They are relative to the size of the image.
"""
XYWHA_ABS = 4
"""
(xc, yc, w, h, a) in absolute floating points coordinates.
(xc, yc) is the center of the rotated box, and the angle a is in degrees ccw.
"""
[docs] @staticmethod
def convert(box: _RawBoxType, from_mode: "BoxMode", to_mode: "BoxMode") -> _RawBoxType:
"""
Args:
box: can be a k-tuple, k-list or an Nxk array/tensor, where k = 4 or 5
from_mode, to_mode (BoxMode)
Returns:
The converted box of the same type.
"""
if from_mode == to_mode:
return box
original_type = type(box)
is_numpy = isinstance(box, np.ndarray)
single_box = isinstance(box, (list, tuple))
if single_box:
assert len(box) == 4 or len(box) == 5, (
"BoxMode.convert takes either a k-tuple/list or an Nxk array/tensor,"
" where k == 4 or 5"
)
arr = torch.tensor(box)[None, :]
else:
# avoid modifying the input box
if is_numpy:
arr = torch.from_numpy(np.asarray(box)).clone()
else:
arr = box.clone()
assert to_mode not in [BoxMode.XYXY_REL, BoxMode.XYWH_REL] and from_mode not in [
BoxMode.XYXY_REL,
BoxMode.XYWH_REL,
], "Relative mode not yet supported!"
if from_mode == BoxMode.XYWHA_ABS and to_mode == BoxMode.XYXY_ABS:
assert (
arr.shape[-1] == 5
), "The last dimension of input shape must be 5 for XYWHA format"
original_dtype = arr.dtype
arr = arr.double()
w = arr[:, 2]
h = arr[:, 3]
a = arr[:, 4]
c = torch.abs(torch.cos(a * math.pi / 180.0))
s = torch.abs(torch.sin(a * math.pi / 180.0))
# This basically computes the horizontal bounding rectangle of the rotated box
new_w = c * w + s * h
new_h = c * h + s * w
# convert center to top-left corner
arr[:, 0] -= new_w / 2.0
arr[:, 1] -= new_h / 2.0
# bottom-right corner
arr[:, 2] = arr[:, 0] + new_w
arr[:, 3] = arr[:, 1] + new_h
arr = arr[:, :4].to(dtype=original_dtype)
elif from_mode == BoxMode.XYWH_ABS and to_mode == BoxMode.XYWHA_ABS:
original_dtype = arr.dtype
arr = arr.double()
arr[:, 0] += arr[:, 2] / 2.0
arr[:, 1] += arr[:, 3] / 2.0
angles = torch.zeros((arr.shape[0], 1), dtype=arr.dtype)
arr = torch.cat((arr, angles), axis=1).to(dtype=original_dtype)
else:
if to_mode == BoxMode.XYXY_ABS and from_mode == BoxMode.XYWH_ABS:
arr[:, 2] += arr[:, 0]
arr[:, 3] += arr[:, 1]
elif from_mode == BoxMode.XYXY_ABS and to_mode == BoxMode.XYWH_ABS:
arr[:, 2] -= arr[:, 0]
arr[:, 3] -= arr[:, 1]
else:
raise NotImplementedError(
"Conversion from BoxMode {} to {} is not supported yet".format(
from_mode, to_mode
)
)
if single_box:
return original_type(arr.flatten().tolist())
if is_numpy:
return arr.numpy()
else:
return arr
class Boxes:
"""
This structure stores a list of boxes as a Nx4 torch.Tensor.
It supports some common methods about boxes
(`area`, `clip`, `nonempty`, etc),
and also behaves like a Tensor
(support indexing, `to(device)`, `.device`, and iteration over all boxes)
Attributes:
tensor (torch.Tensor): float matrix of Nx4. Each row is (x1, y1, x2, y2).
"""
def __init__(self, tensor: torch.Tensor):
"""
Args:
tensor (Tensor[float]): a Nx4 matrix. Each row is (x1, y1, x2, y2).
"""
device = tensor.device if isinstance(tensor, torch.Tensor) else torch.device("cpu")
tensor = torch.as_tensor(tensor, dtype=torch.float32, device=device)
if tensor.numel() == 0:
# Use reshape, so we don't end up creating a new tensor that does not depend on
# the inputs (and consequently confuses jit)
tensor = tensor.reshape((-1, 4)).to(dtype=torch.float32, device=device)
assert tensor.dim() == 2 and tensor.size(-1) == 4, tensor.size()
self.tensor = tensor
def clone(self) -> "Boxes":
"""
Clone the Boxes.
Returns:
Boxes
"""
return Boxes(self.tensor.clone())
@_maybe_jit_unused
def to(self, device: torch.device):
# Boxes are assumed float32 and does not support to(dtype)
return Boxes(self.tensor.to(device=device))
def area(self) -> torch.Tensor:
"""
Computes the area of all the boxes.
Returns:
torch.Tensor: a vector with areas of each box.
"""
box = self.tensor
area = (box[:, 2] - box[:, 0]) * (box[:, 3] - box[:, 1])
return area
def clip(self, box_size: Tuple[int, int]) -> None:
"""
Clip (in place) the boxes by limiting x coordinates to the range [0, width]
and y coordinates to the range [0, height].
Args:
box_size (height, width): The clipping box's size.
"""
assert torch.isfinite(self.tensor).all(), "Box tensor contains infinite or NaN!"
h, w = box_size
x1 = self.tensor[:, 0].clamp(min=0, max=w)
y1 = self.tensor[:, 1].clamp(min=0, max=h)
x2 = self.tensor[:, 2].clamp(min=0, max=w)
y2 = self.tensor[:, 3].clamp(min=0, max=h)
self.tensor = torch.stack((x1, y1, x2, y2), dim=-1)
def nonempty(self, threshold: float = 0.0) -> torch.Tensor:
"""
Find boxes that are non-empty.
A box is considered empty, if either of its side is no larger than threshold.
Returns:
Tensor:
a binary vector which represents whether each box is empty
(False) or non-empty (True).
"""
box = self.tensor
widths = box[:, 2] - box[:, 0]
heights = box[:, 3] - box[:, 1]
keep = (widths > threshold) & (heights > threshold)
return keep
def __getitem__(self, item) -> "Boxes":
"""
Args:
item: int, slice, or a BoolTensor
Returns:
Boxes: Create a new :class:`Boxes` by indexing.
The following usage are allowed:
1. `new_boxes = boxes[3]`: return a `Boxes` which contains only one box.
2. `new_boxes = boxes[2:10]`: return a slice of boxes.
3. `new_boxes = boxes[vector]`, where vector is a torch.BoolTensor
with `length = len(boxes)`. Nonzero elements in the vector will be selected.
Note that the returned Boxes might share storage with this Boxes,
subject to Pytorch's indexing semantics.
"""
if isinstance(item, int):
return Boxes(self.tensor[item].view(1, -1))
b = self.tensor[item]
assert b.dim() == 2, "Indexing on Boxes with {} failed to return a matrix!".format(item)
return Boxes(b)
def __len__(self) -> int:
return self.tensor.shape[0]
def __repr__(self) -> str:
return "Boxes(" + str(self.tensor) + ")"
def inside_box(self, box_size: Tuple[int, int], boundary_threshold: int = 0) -> torch.Tensor:
"""
Args:
box_size (height, width): Size of the reference box.
boundary_threshold (int): Boxes that extend beyond the reference box
boundary by more than boundary_threshold are considered "outside".
Returns:
a binary vector, indicating whether each box is inside the reference box.
"""
height, width = box_size
inds_inside = (
(self.tensor[..., 0] >= -boundary_threshold)
& (self.tensor[..., 1] >= -boundary_threshold)
& (self.tensor[..., 2] < width + boundary_threshold)
& (self.tensor[..., 3] < height + boundary_threshold)
)
return inds_inside
def get_centers(self) -> torch.Tensor:
"""
Returns:
The box centers in a Nx2 array of (x, y).
"""
return (self.tensor[:, :2] + self.tensor[:, 2:]) / 2
def scale(self, scale_x: float, scale_y: float) -> None:
"""
Scale the box with horizontal and vertical scaling factors
"""
self.tensor[:, 0::2] *= scale_x
self.tensor[:, 1::2] *= scale_y
[docs] @classmethod
@_maybe_jit_unused
def cat(cls, boxes_list: List["Boxes"]) -> "Boxes":
"""
Concatenates a list of Boxes into a single Boxes
Arguments:
boxes_list (list[Boxes])
Returns:
Boxes: the concatenated Boxes
"""
assert isinstance(boxes_list, (list, tuple))
if len(boxes_list) == 0:
return cls(torch.empty(0))
assert all([isinstance(box, Boxes) for box in boxes_list])
# use torch.cat (v.s. layers.cat) so the returned boxes never share storage with input
cat_boxes = cls(torch.cat([b.tensor for b in boxes_list], dim=0))
return cat_boxes
@property
def device(self) -> device:
return self.tensor.device
# type "Iterator[torch.Tensor]", yield, and iter() not supported by torchscript
# https://github.com/pytorch/pytorch/issues/18627
@torch.jit.unused
def __iter__(self):
"""
Yield a box as a Tensor of shape (4,) at a time.
"""
yield from self.tensor
def pairwise_intersection(boxes1: Boxes, boxes2: Boxes) -> torch.Tensor:
"""
Given two lists of boxes of size N and M,
compute the intersection area between __all__ N x M pairs of boxes.
The box order must be (xmin, ymin, xmax, ymax)
Args:
boxes1,boxes2 (Boxes): two `Boxes`. Contains N & M boxes, respectively.
Returns:
Tensor: intersection, sized [N,M].
"""
boxes1, boxes2 = boxes1.tensor, boxes2.tensor
width_height = torch.min(boxes1[:, None, 2:], boxes2[:, 2:]) - torch.max(
boxes1[:, None, :2], boxes2[:, :2]
) # [N,M,2]
width_height.clamp_(min=0) # [N,M,2]
intersection = width_height.prod(dim=2) # [N,M]
return intersection
# implementation from https://github.com/kuangliu/torchcv/blob/master/torchcv/utils/box.py
# with slight modifications
def pairwise_iou(boxes1: Boxes, boxes2: Boxes) -> torch.Tensor:
"""
Given two lists of boxes of size N and M, compute the IoU
(intersection over union) between **all** N x M pairs of boxes.
The box order must be (xmin, ymin, xmax, ymax).
Args:
boxes1,boxes2 (Boxes): two `Boxes`. Contains N & M boxes, respectively.
Returns:
Tensor: IoU, sized [N,M].
"""
area1 = boxes1.area() # [N]
area2 = boxes2.area() # [M]
inter = pairwise_intersection(boxes1, boxes2)
# handle empty boxes
iou = torch.where(
inter > 0,
inter / (area1[:, None] + area2 - inter),
torch.zeros(1, dtype=inter.dtype, device=inter.device),
)
return iou
def pairwise_ioa(boxes1: Boxes, boxes2: Boxes) -> torch.Tensor:
"""
Similar to :func:`pariwise_iou` but compute the IoA (intersection over boxes2 area).
Args:
boxes1,boxes2 (Boxes): two `Boxes`. Contains N & M boxes, respectively.
Returns:
Tensor: IoA, sized [N,M].
"""
area2 = boxes2.area() # [M]
inter = pairwise_intersection(boxes1, boxes2)
# handle empty boxes
ioa = torch.where(
inter > 0, inter / area2, torch.zeros(1, dtype=inter.dtype, device=inter.device)
)
return ioa
def matched_boxlist_iou(boxes1: Boxes, boxes2: Boxes) -> torch.Tensor:
"""
Compute pairwise intersection over union (IOU) of two sets of matched
boxes. The box order must be (xmin, ymin, xmax, ymax).
Similar to boxlist_iou, but computes only diagonal elements of the matrix
Args:
boxes1: (Boxes) bounding boxes, sized [N,4].
boxes2: (Boxes) bounding boxes, sized [N,4].
Returns:
Tensor: iou, sized [N].
"""
assert len(boxes1) == len(
boxes2
), "boxlists should have the same" "number of entries, got {}, {}".format(
len(boxes1), len(boxes2)
)
area1 = boxes1.area() # [N]
area2 = boxes2.area() # [N]
box1, box2 = boxes1.tensor, boxes2.tensor
lt = torch.max(box1[:, :2], box2[:, :2]) # [N,2]
rb = torch.min(box1[:, 2:], box2[:, 2:]) # [N,2]
wh = (rb - lt).clamp(min=0) # [N,2]
inter = wh[:, 0] * wh[:, 1] # [N]
iou = inter / (area1 + area2 - inter) # [N]
return iou