boxes.py

from typing import Tuple

import torch
import torchvision
from torch import Tensor
from torchvision.extension import _assert_has_ops

from ..utils import _log_api_usage_once
from ._box_convert import _box_cxcywh_to_xyxy, _box_xyxy_to_cxcywh, _box_xywh_to_xyxy, _box_xyxy_to_xywh


def nms(boxes: Tensor, scores: Tensor, iou_threshold: float) -> Tensor:
    """
    Performs non-maximum suppression (NMS) on the boxes according
    to their intersection-over-union (IoU).

    NMS iteratively removes lower scoring boxes which have an
    IoU greater than iou_threshold with another (higher scoring)
    box.

    If multiple boxes have the exact same score and satisfy the IoU
    criterion with respect to a reference box, the selected box is
    not guaranteed to be the same between CPU and GPU. This is similar
    to the behavior of argsort in PyTorch when repeated values are present.

    Args:
        boxes (Tensor[N, 4])): boxes to perform NMS on. They
            are expected to be in ``(x1, y1, x2, y2)`` format with ``0 <= x1 < x2`` and
            ``0 <= y1 < y2``.
        scores (Tensor[N]): scores for each one of the boxes
        iou_threshold (float): discards all overlapping boxes with IoU > iou_threshold

    Returns:
        Tensor: int64 tensor with the indices of the elements that have been kept
        by NMS, sorted in decreasing order of scores
    """
    if not torch.jit.is_scripting() and not torch.jit.is_tracing():
        _log_api_usage_once(nms)
    _assert_has_ops()
    return torch.ops.torchvision.nms(boxes, scores, iou_threshold)


def batched_nms(
    boxes: Tensor,
    scores: Tensor,
    idxs: Tensor,
    iou_threshold: float,
) -> Tensor:
    """
    Performs non-maximum suppression in a batched fashion.

    Each index value correspond to a category, and NMS
    will not be applied between elements of different categories.

    Args:
        boxes (Tensor[N, 4]): boxes where NMS will be performed. They
            are expected to be in ``(x1, y1, x2, y2)`` format with ``0 <= x1 < x2`` and
            ``0 <= y1 < y2``.
        scores (Tensor[N]): scores for each one of the boxes
        idxs (Tensor[N]): indices of the categories for each one of the boxes.
        iou_threshold (float): discards all overlapping boxes with IoU > iou_threshold

    Returns:
        Tensor: int64 tensor with the indices of the elements that have been kept by NMS, sorted
        in decreasing order of scores
    """
    if not torch.jit.is_scripting() and not torch.jit.is_tracing():
        _log_api_usage_once(batched_nms)
    # Benchmarks that drove the following thresholds are at
    # https://github.com/pytorch/vision/issues/1311#issuecomment-781329339
    if boxes.numel() > (4000 if boxes.device.type == "cpu" else 20000) and not torchvision._is_tracing():
        return _batched_nms_vanilla(boxes, scores, idxs, iou_threshold)
    else:
        return _batched_nms_coordinate_trick(boxes, scores, idxs, iou_threshold)


@torch.jit._script_if_tracing
def _batched_nms_coordinate_trick(
    boxes: Tensor,
    scores: Tensor,
    idxs: Tensor,
    iou_threshold: float,
) -> Tensor:
    # strategy: in order to perform NMS independently per class,
    # we add an offset to all the boxes. The offset is dependent
    # only on the class idx, and is large enough so that boxes
    # from different classes do not overlap
    if boxes.numel() == 0:
        return torch.empty((0,), dtype=torch.int64, device=boxes.device)
    max_coordinate = boxes.max()
    offsets = idxs.to(boxes) * (max_coordinate + torch.tensor(1).to(boxes))
    boxes_for_nms = boxes + offsets[:, None]
    keep = nms(boxes_for_nms, scores, iou_threshold)
    return keep


@torch.jit._script_if_tracing
def _batched_nms_vanilla(
    boxes: Tensor,
    scores: Tensor,
    idxs: Tensor,
    iou_threshold: float,
) -> Tensor:
    # Based on Detectron2 implementation, just manually call nms() on each class independently
    keep_mask = torch.zeros_like(scores, dtype=torch.bool)
    for class_id in torch.unique(idxs):
        curr_indices = torch.where(idxs == class_id)[0]
        curr_keep_indices = nms(boxes[curr_indices], scores[curr_indices], iou_threshold)
        keep_mask[curr_indices[curr_keep_indices]] = True
    keep_indices = torch.where(keep_mask)[0]
    return keep_indices[scores[keep_indices].sort(descending=True)[1]]


def remove_small_boxes(boxes: Tensor, min_size: float) -> Tensor:
    """
    Remove boxes which contains at least one side smaller than min_size.

    Args:
        boxes (Tensor[N, 4]): boxes in ``(x1, y1, x2, y2)`` format
            with ``0 <= x1 < x2`` and ``0 <= y1 < y2``.
        min_size (float): minimum size

    Returns:
        Tensor[K]: indices of the boxes that have both sides
        larger than min_size
    """
    if not torch.jit.is_scripting() and not torch.jit.is_tracing():
        _log_api_usage_once(remove_small_boxes)
    ws, hs = boxes[:, 2] - boxes[:, 0], boxes[:, 3] - boxes[:, 1]
    keep = (ws >= min_size) & (hs >= min_size)
    keep = torch.where(keep)[0]
    return keep


def clip_boxes_to_image(boxes: Tensor, size: Tuple[int, int]) -> Tensor:
    """
    Clip boxes so that they lie inside an image of size `size`.

    Args:
        boxes (Tensor[N, 4]): boxes in ``(x1, y1, x2, y2)`` format
            with ``0 <= x1 < x2`` and ``0 <= y1 < y2``.
        size (Tuple[height, width]): size of the image

    Returns:
        Tensor[N, 4]: clipped boxes
    """
    if not torch.jit.is_scripting() and not torch.jit.is_tracing():
        _log_api_usage_once(clip_boxes_to_image)
    dim = boxes.dim()
    boxes_x = boxes[..., 0::2]
    boxes_y = boxes[..., 1::2]
    height, width = size

    if torchvision._is_tracing():
        boxes_x = torch.max(boxes_x, torch.tensor(0, dtype=boxes.dtype, device=boxes.device))
        boxes_x = torch.min(boxes_x, torch.tensor(width, dtype=boxes.dtype, device=boxes.device))
        boxes_y = torch.max(boxes_y, torch.tensor(0, dtype=boxes.dtype, device=boxes.device))
        boxes_y = torch.min(boxes_y, torch.tensor(height, dtype=boxes.dtype, device=boxes.device))
    else:
        boxes_x = boxes_x.clamp(min=0, max=width)
        boxes_y = boxes_y.clamp(min=0, max=height)

    clipped_boxes = torch.stack((boxes_x, boxes_y), dim=dim)
    return clipped_boxes.reshape(boxes.shape)


def box_convert(boxes: Tensor, in_fmt: str, out_fmt: str) -> Tensor:
    """
    Converts boxes from given in_fmt to out_fmt.
    Supported in_fmt and out_fmt are:

    'xyxy': boxes are represented via corners, x1, y1 being top left and x2, y2 being bottom right.
    This is the format that torchvision utilities expect.

    'xywh' : boxes are represented via corner, width and height, x1, y2 being top left, w, h being width and height.

    'cxcywh' : boxes are represented via centre, width and height, cx, cy being center of box, w, h
    being width and height.

    Args:
        boxes (Tensor[N, 4]): boxes which will be converted.
        in_fmt (str): Input format of given boxes. Supported formats are ['xyxy', 'xywh', 'cxcywh'].
        out_fmt (str): Output format of given boxes. Supported formats are ['xyxy', 'xywh', 'cxcywh']

    Returns:
        Tensor[N, 4]: Boxes into converted format.
    """
    if not torch.jit.is_scripting() and not torch.jit.is_tracing():
        _log_api_usage_once(box_convert)
    allowed_fmts = ("xyxy", "xywh", "cxcywh")
    if in_fmt not in allowed_fmts or out_fmt not in allowed_fmts:
        raise ValueError("Unsupported Bounding Box Conversions for given in_fmt and out_fmt")

    if in_fmt == out_fmt:
        return boxes.clone()

    if in_fmt != "xyxy" and out_fmt != "xyxy":
        # convert to xyxy and change in_fmt xyxy
        if in_fmt == "xywh":
            boxes = _box_xywh_to_xyxy(boxes)
        elif in_fmt == "cxcywh":
            boxes = _box_cxcywh_to_xyxy(boxes)
        in_fmt = "xyxy"

    if in_fmt == "xyxy":
        if out_fmt == "xywh":
            boxes = _box_xyxy_to_xywh(boxes)
        elif out_fmt == "cxcywh":
            boxes = _box_xyxy_to_cxcywh(boxes)
    elif out_fmt == "xyxy":
        if in_fmt == "xywh":
            boxes = _box_xywh_to_xyxy(boxes)
        elif in_fmt == "cxcywh":
            boxes = _box_cxcywh_to_xyxy(boxes)
    return boxes


def _upcast(t: Tensor) -> Tensor:
    # Protects from numerical overflows in multiplications by upcasting to the equivalent higher type
    if t.is_floating_point():
        return t if t.dtype in (torch.float32, torch.float64) else t.float()
    else:
        return t if t.dtype in (torch.int32, torch.int64) else t.int()


def box_area(boxes: Tensor) -> Tensor:
    """
    Computes the area of a set of bounding boxes, which are specified by their
    (x1, y1, x2, y2) coordinates.

    Args:
        boxes (Tensor[N, 4]): boxes for which the area will be computed. They
            are expected to be in (x1, y1, x2, y2) format with
            ``0 <= x1 < x2`` and ``0 <= y1 < y2``.

    Returns:
        Tensor[N]: the area for each box
    """
    if not torch.jit.is_scripting() and not torch.jit.is_tracing():
        _log_api_usage_once(box_area)
    boxes = _upcast(boxes)
    return (boxes[:, 2] - boxes[:, 0]) * (boxes[:, 3] - boxes[:, 1])


# implementation from https://github.com/kuangliu/torchcv/blob/master/torchcv/utils/box.py
# with slight modifications
def _box_inter_union(boxes1: Tensor, boxes2: Tensor) -> Tuple[Tensor, Tensor]:
    area1 = box_area(boxes1)
    area2 = box_area(boxes2)

    lt = torch.max(boxes1[:, None, :2], boxes2[:, :2])  # [N,M,2]
    rb = torch.min(boxes1[:, None, 2:], boxes2[:, 2:])  # [N,M,2]

    wh = _upcast(rb - lt).clamp(min=0)  # [N,M,2]
    inter = wh[:, :, 0] * wh[:, :, 1]  # [N,M]

    union = area1[:, None] + area2 - inter

    return inter, union


def box_iou(boxes1: Tensor, boxes2: Tensor) -> Tensor:
    """
    Return intersection-over-union (Jaccard index) between two sets of boxes.

    Both sets of boxes are expected to be in ``(x1, y1, x2, y2)`` format with
    ``0 <= x1 < x2`` and ``0 <= y1 < y2``.

    Args:
        boxes1 (Tensor[N, 4]): first set of boxes
        boxes2 (Tensor[M, 4]): second set of boxes

    Returns:
        Tensor[N, M]: the NxM matrix containing the pairwise IoU values for every element in boxes1 and boxes2
    """
    if not torch.jit.is_scripting() and not torch.jit.is_tracing():
        _log_api_usage_once(box_iou)
    inter, union = _box_inter_union(boxes1, boxes2)
    iou = inter / union
    return iou


# Implementation adapted from https://github.com/facebookresearch/detr/blob/master/util/box_ops.py
def generalized_box_iou(boxes1: Tensor, boxes2: Tensor) -> Tensor:
    """
    Return generalized intersection-over-union (Jaccard index) between two sets of boxes.

    Both sets of boxes are expected to be in ``(x1, y1, x2, y2)`` format with
    ``0 <= x1 < x2`` and ``0 <= y1 < y2``.

    Args:
        boxes1 (Tensor[N, 4]): first set of boxes
        boxes2 (Tensor[M, 4]): second set of boxes

    Returns:
        Tensor[N, M]: the NxM matrix containing the pairwise generalized IoU values
        for every element in boxes1 and boxes2
    """
    if not torch.jit.is_scripting() and not torch.jit.is_tracing():
        _log_api_usage_once(generalized_box_iou)

    inter, union = _box_inter_union(boxes1, boxes2)
    iou = inter / union

    lti = torch.min(boxes1[:, None, :2], boxes2[:, :2])
    rbi = torch.max(boxes1[:, None, 2:], boxes2[:, 2:])

    whi = _upcast(rbi - lti).clamp(min=0)  # [N,M,2]
    areai = whi[:, :, 0] * whi[:, :, 1]

    return iou - (areai - union) / areai


def complete_box_iou(boxes1: Tensor, boxes2: Tensor, eps: float = 1e-7) -> Tensor:
    """
    Return complete intersection-over-union (Jaccard index) between two sets of boxes.
    Both sets of boxes are expected to be in ``(x1, y1, x2, y2)`` format with
    ``0 <= x1 < x2`` and ``0 <= y1 < y2``.
    Args:
        boxes1 (Tensor[N, 4]): first set of boxes
        boxes2 (Tensor[M, 4]): second set of boxes
        eps (float, optional): small number to prevent division by zero. Default: 1e-7
    Returns:
        Tensor[N, M]: the NxM matrix containing the pairwise complete IoU values
        for every element in boxes1 and boxes2
    """
    if not torch.jit.is_scripting() and not torch.jit.is_tracing():
        _log_api_usage_once(complete_box_iou)

    boxes1 = _upcast(boxes1)
    boxes2 = _upcast(boxes2)

    inter, union = _box_inter_union(boxes1, boxes2)
    iou = inter / union

    lti = torch.min(boxes1[:, None, :2], boxes2[:, None, :2])
    rbi = torch.max(boxes1[:, None, 2:], boxes2[:, None, 2:])

    whi = (rbi - lti).clamp(min=0)  # [N,M,2]
    diagonal_distance_squared = (whi[:, :, 0] ** 2) + (whi[:, :, 1] ** 2) + eps

    # centers of boxes
    x_p = (boxes1[:, 0] + boxes1[:, 2]) / 2
    y_p = (boxes1[:, 1] + boxes1[:, 3]) / 2
    x_g = (boxes2[:, 0] + boxes2[:, 2]) / 2
    y_g = (boxes2[:, 1] + boxes2[:, 3]) / 2
    # The distance between boxes' centers squared.
    centers_distance_squared = (x_p - x_g) ** 2 + (y_p - y_g) ** 2

    w_pred = boxes1[:, 2] - boxes1[:, 0]
    h_pred = boxes1[:, 3] - boxes1[:, 1]

    w_gt = boxes2[:, 2] - boxes2[:, 0]
    h_gt = boxes2[:, 3] - boxes2[:, 1]

    v = (4 / (torch.pi ** 2)) * torch.pow((torch.atan(w_gt / h_gt) - torch.atan(w_pred / h_pred)), 2)
    with torch.no_grad():
        alpha = v / (1 - iou + v + eps)
    return iou - (centers_distance_squared / diagonal_distance_squared) - alpha * v


def distance_box_iou(boxes1: Tensor, boxes2: Tensor, eps: float = 1e-7) -> Tensor:
    """
    Return distance intersection-over-union (Jaccard index) between two sets of boxes.

    Both sets of boxes are expected to be in ``(x1, y1, x2, y2)`` format with
    ``0 <= x1 < x2`` and ``0 <= y1 < y2``.

    Args:
        boxes1 (Tensor[N, 4]): first set of boxes
        boxes2 (Tensor[M, 4]): second set of boxes
        eps (float, optional): small number to prevent division by zero. Default: 1e-7

    Returns:
        Tensor[N, M]: the NxM matrix containing the pairwise distance IoU values
        for every element in boxes1 and boxes2
    """
    if not torch.jit.is_scripting() and not torch.jit.is_tracing():
        _log_api_usage_once(distance_box_iou)

    boxes1 = _upcast(boxes1)
    boxes2 = _upcast(boxes2)

    inter, union = _box_inter_union(boxes1, boxes2)
    iou = inter / union

    lti = torch.min(boxes1[:, None, :2], boxes2[:, :2])
    rbi = torch.max(boxes1[:, None, 2:], boxes2[:, 2:])

    whi = _upcast(rbi - lti).clamp(min=0)  # [N,M,2]
    diagonal_distance_squared = (whi[:, :, 0] ** 2) + (whi[:, :, 1] ** 2) + eps

    # centers of boxes
    x_p = (boxes1[:, 0] + boxes1[:, 2]) / 2
    y_p = (boxes1[:, 1] + boxes1[:, 3]) / 2
    x_g = (boxes2[:, 0] + boxes2[:, 2]) / 2
    y_g = (boxes2[:, 1] + boxes2[:, 3]) / 2
    # The distance between boxes' centers squared.
    centers_distance_squared = (_upcast(x_p - x_g) ** 2) + (_upcast(y_p - y_g) ** 2)

    # The distance IoU is the IoU penalized by a normalized
    # distance between boxes' centers squared.
    return iou - (centers_distance_squared / diagonal_distance_squared)


def masks_to_boxes(masks: torch.Tensor) -> torch.Tensor:
    """
    Compute the bounding boxes around the provided masks.

    Returns a [N, 4] tensor containing bounding boxes. The boxes are in ``(x1, y1, x2, y2)`` format with
    ``0 <= x1 < x2`` and ``0 <= y1 < y2``.

    Args:
        masks (Tensor[N, H, W]): masks to transform where N is the number of masks
            and (H, W) are the spatial dimensions.

    Returns:
        Tensor[N, 4]: bounding boxes
    """
    if not torch.jit.is_scripting() and not torch.jit.is_tracing():
        _log_api_usage_once(masks_to_boxes)
    if masks.numel() == 0:
        return torch.zeros((0, 4), device=masks.device, dtype=torch.float)

    n = masks.shape[0]

    bounding_boxes = torch.zeros((n, 4), device=masks.device, dtype=torch.float)

    for index, mask in enumerate(masks):
        y, x = torch.where(mask != 0)

        bounding_boxes[index, 0] = torch.min(x)
        bounding_boxes[index, 1] = torch.min(y)
        bounding_boxes[index, 2] = torch.max(x)
        bounding_boxes[index, 3] = torch.max(y)

    return bounding_boxes