utils.py

import numpy as np
import torch


def limit_period(val, offset=0.5, period=np.pi):
    """Limit the value into a period for periodic function.

    Args:
        val (torch.Tensor): The value to be converted.
        offset (float, optional): Offset to set the value range.
            Defaults to 0.5.
        period ([type], optional): Period of the value. Defaults to np.pi.

    Returns:
        torch.Tensor: value in the range of
            [-offset * period, (1-offset) * period]
    """
    return val - torch.floor(val / period + offset) * period


def rotation_3d_in_axis(points, angles, axis=0):
    """Rotate points by angles according to axis

    Args:
        points (torch.Tensor): Points of shape (N, M, 3).
        angles (torch.Tensor): Vector of angles in shape (N,)
        axis (int, optional): The axis to be rotated. Defaults to 0.

    Raises:
        ValueError: when the axis is not in range [0, 1, 2], it will
            raise value error.

    Returns:
        torch.Tensor: rotated points in shape (N, M, 3)
    """
    rot_sin = torch.sin(angles)
    rot_cos = torch.cos(angles)
    ones = torch.ones_like(rot_cos)
    zeros = torch.zeros_like(rot_cos)
    if axis == 1:
        rot_mat_T = torch.stack([
            torch.stack([rot_cos, zeros, -rot_sin]),
            torch.stack([zeros, ones, zeros]),
            torch.stack([rot_sin, zeros, rot_cos])
        ])
    elif axis == 2 or axis == -1:
        rot_mat_T = torch.stack([
            torch.stack([rot_cos, -rot_sin, zeros]),
            torch.stack([rot_sin, rot_cos, zeros]),
            torch.stack([zeros, zeros, ones])
        ])
    elif axis == 0:
        rot_mat_T = torch.stack([
            torch.stack([zeros, rot_cos, -rot_sin]),
            torch.stack([zeros, rot_sin, rot_cos]),
            torch.stack([ones, zeros, zeros])
        ])
    else:
        raise ValueError(f'axis should in range [0, 1, 2], got {axis}')

    return torch.einsum('aij,jka->aik', (points, rot_mat_T))


def xywhr2xyxyr(boxes_xywhr):
    boxes = torch.zeros_like(boxes_xywhr)
    half_w = boxes_xywhr[:, 2] / 2
    half_h = boxes_xywhr[:, 3] / 2

    boxes[:, 0] = boxes_xywhr[:, 0] - half_w
    boxes[:, 1] = boxes_xywhr[:, 1] - half_h
    boxes[:, 2] = boxes_xywhr[:, 0] + half_w
    boxes[:, 3] = boxes_xywhr[:, 1] + half_h
    boxes[:, 4] = boxes_xywhr[:, 4]
    return boxes


def points_cam2img(points_3d, proj_mat):
    points_num = list(points_3d.shape)[:-1]
    points_shape = np.concatenate([points_num, [1]], axis=0).tolist()
    # previous implementation use new_zeros, new_one yeilds better results
    points_4 = torch.cat(
        [points_3d, points_3d.new_ones(*points_shape)], dim=-1)
    # point_2d = points_4 @ tf.transpose(proj_mat, [1, 0])
    point_2d = torch.matmul(points_4, proj_mat.t())
    point_2d_res = point_2d[..., :2] / point_2d[..., 2:3]
    return point_2d_res