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warpaffine2gridsample's Issues

Drop-in replacement

The following should be quite close to a drop-in replacement for cv2.warpAffine. The only difference in the interface is that torch_wrapaffine expects a CxHxW torch.Tensor, instead of a HxWxC np.ndarray.

import numpy as np
import torch
import torch.nn.functional as F


def get_N(W, H):
    """N that maps from unnormalized to normalized coordinates"""
    N = np.zeros((3, 3), dtype=np.float64)
    N[0, 0] = 2.0 / W
    N[0, 1] = 0
    N[1, 1] = 2.0 / H
    N[1, 0] = 0
    N[0, -1] = -1.0
    N[1, -1] = -1.0
    N[-1, -1] = 1.0
    return N

def get_N_inv(W, H):
    """N that maps from normalized to unnormalized coordinates"""
    # TODO: do this analytically maybe?
    N = get_N(W, H)
    return np.linalg.inv(N)

def convert_M_to_theta(M, w, h):
    """convert affine warp matrix `M` compatible with `opencv.warpAffine` to `theta` matrix
    compatible with `torch.F.affine_grid`
    Note:
    M works with `opencv.warpAffine`.
    To transform a set of bounding box corner points using `opencv.perspectiveTransform`, M^-1 is required
    Parameters
    ----------
    M : np.ndarray
        affine warp matrix shaped [2, 3]
    w : int
        width of image
    h : int
        height of image
    Returns
    -------
    np.ndarray
        theta tensor for `torch.F.affine_grid`, shaped [2, 3]
    """
    M_aug = np.concatenate([M, np.zeros((1, 3))], axis=0)
    M_aug[-1, -1] = 1.0
    N = get_N(w, h)
    N_inv = get_N_inv(w, h)
    theta = N @ M_aug @ N_inv
    theta = np.linalg.inv(theta)
    return theta[:2, :]

def torch_warpaffine(img: torch.Tensor, M: np.ndarray, dsize, flags=cv2.INTER_NEAREST):
    w, h = dsize
    theta = convert_M_to_theta(M, w, h)
    grid = F.affine_grid(
        torch.tensor(theta, dtype=torch.float32, device=img.device).unsqueeze(0),
        [1, 3, h, w],
        align_corners=False,
    )
    mode = {
        cv2.INTER_NEAREST: 'nearest',
        cv2.INTER_LINEAR: 'linear',
    }[flags]
    result = F.grid_sample(img.unsqueeze(0), grid, mode=mode, align_corners=False).squeeze(0)
    return result

In my testing, there were small (1px) differences between the output of cv2.wrapAffine and torch_wrapaffine. I have not investigated what causes them, but I would be glad if somebody figured that out.

Why do you invert the matrix before making the transformation?

I went through the various steps and managed to get to the final transformation matrix, but according to my mathematical calculations I shouldn't do the inverse of "param" before. Obviously applying the transformation without the inverse I don't get the correct result as yours... Could you please explain to me why it should be done?

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