psnr_ssim.py

import cv2
import numpy as np

import skimage.metrics
import torch

import numpy as np

from matlab_function import bgr2ycbcr


def reorder_image(img, input_order='HWC'):
    """Reorder images to 'HWC' order.
    If the input_order is (h, w), return (h, w, 1);
    If the input_order is (c, h, w), return (h, w, c);
    If the input_order is (h, w, c), return as it is.
    Args:
        img (ndarray): Input image.
        input_order (str): Whether the input order is 'HWC' or 'CHW'.
            If the input image shape is (h, w), input_order will not have
            effects. Default: 'HWC'.
    Returns:
        ndarray: reordered image.
    """

    if input_order not in ['HWC', 'CHW']:
        raise ValueError(
            f'Wrong input_order {input_order}. Supported input_orders are '
            "'HWC' and 'CHW'")
    if len(img.shape) == 2:
        img = img[..., None]
    if input_order == 'CHW':
        img = img.transpose(1, 2, 0)
    return img


def to_y_channel(img):
    """Change to Y channel of YCbCr.
    Args:
        img (ndarray): Images with range [0, 255].
    Returns:
        (ndarray): Images with range [0, 255] (float type) without round.
    """
    img = img.astype(np.float32) / 255.
    if img.ndim == 3 and img.shape[2] == 3:
        img = bgr2ycbcr(img, y_only=True)
        img = img[..., None]
    return img * 255.



def calculate_psnr(img1,
                   img2,
                   crop_border,
                   input_order='HWC',
                   test_y_channel=False):
    """Calculate PSNR (Peak Signal-to-Noise Ratio).
    Ref: https://en.wikipedia.org/wiki/Peak_signal-to-noise_ratio
    Args:
        img1 (ndarray/tensor): Images with range [0, 255]/[0, 1].
        img2 (ndarray/tensor): Images with range [0, 255]/[0, 1].
        crop_border (int): Cropped pixels in each edge of an image. These
            pixels are not involved in the PSNR calculation.
        input_order (str): Whether the input order is 'HWC' or 'CHW'.
            Default: 'HWC'.
        test_y_channel (bool): Test on Y channel of YCbCr. Default: False.
    Returns:
        float: psnr result.
    """

    assert img1.shape == img2.shape, (
        f'Image shapes are differnet: {img1.shape}, {img2.shape}.')
    if input_order not in ['HWC', 'CHW']:
        raise ValueError(
            f'Wrong input_order {input_order}. Supported input_orders are '
            '"HWC" and "CHW"')
    if type(img1) == torch.Tensor:
        if len(img1.shape) == 4:
            img1 = img1.squeeze(0)
        img1 = img1.detach().cpu().numpy().transpose(1,2,0)
    if type(img2) == torch.Tensor:
        if len(img2.shape) == 4:
            img2 = img2.squeeze(0)
        img2 = img2.detach().cpu().numpy().transpose(1,2,0)
        
    img1 = reorder_image(img1, input_order=input_order)
    img2 = reorder_image(img2, input_order=input_order)
    img1 = img1.astype(np.float64)
    img2 = img2.astype(np.float64)

    if crop_border != 0:
        img1 = img1[crop_border:-crop_border, crop_border:-crop_border, ...]
        img2 = img2[crop_border:-crop_border, crop_border:-crop_border, ...]

    if test_y_channel:
        img1 = to_y_channel(img1)
        img2 = to_y_channel(img2)

    mse = np.mean((img1 - img2)**2)
    if mse == 0:
        return float('inf')
    max_value = 1. if img1.max() <= 1 else 255.
    return 20. * np.log10(max_value / np.sqrt(mse))


def _ssim(img1, img2):
    """Calculate SSIM (structural similarity) for one channel images.
    It is called by func:`calculate_ssim`.
    Args:
        img1 (ndarray): Images with range [0, 255] with order 'HWC'.
        img2 (ndarray): Images with range [0, 255] with order 'HWC'.
    Returns:
        float: ssim result.
    """

    C1 = (0.01 * 255)**2
    C2 = (0.03 * 255)**2

    img1 = img1.astype(np.float64)
    img2 = img2.astype(np.float64)
    kernel = cv2.getGaussianKernel(11, 1.5)
    window = np.outer(kernel, kernel.transpose())

    mu1 = cv2.filter2D(img1, -1, window)[5:-5, 5:-5]
    mu2 = cv2.filter2D(img2, -1, window)[5:-5, 5:-5]
    mu1_sq = mu1**2
    mu2_sq = mu2**2
    mu1_mu2 = mu1 * mu2
    sigma1_sq = cv2.filter2D(img1**2, -1, window)[5:-5, 5:-5] - mu1_sq
    sigma2_sq = cv2.filter2D(img2**2, -1, window)[5:-5, 5:-5] - mu2_sq
    sigma12 = cv2.filter2D(img1 * img2, -1, window)[5:-5, 5:-5] - mu1_mu2

    ssim_map = ((2 * mu1_mu2 + C1) *
                (2 * sigma12 + C2)) / ((mu1_sq + mu2_sq + C1) *
                                       (sigma1_sq + sigma2_sq + C2))
    return ssim_map.mean()

def prepare_for_ssim(img, k):
    import torch
    with torch.no_grad():
        img = torch.from_numpy(img).unsqueeze(0).unsqueeze(0).float()
        conv = torch.nn.Conv2d(1, 1, k, stride=1, padding=k//2, padding_mode='reflect')
        conv.weight.requires_grad = False
        conv.weight[:, :, :, :] = 1. / (k * k)

        img = conv(img)

        img = img.squeeze(0).squeeze(0)
        img = img[0::k, 0::k]
    return img.detach().cpu().numpy()

def prepare_for_ssim_rgb(img, k):
    import torch
    with torch.no_grad():
        img = torch.from_numpy(img).float() #HxWx3

        conv = torch.nn.Conv2d(1, 1, k, stride=1, padding=k // 2, padding_mode='reflect')
        conv.weight.requires_grad = False
        conv.weight[:, :, :, :] = 1. / (k * k)

        new_img = []

        for i in range(3):
            new_img.append(conv(img[:, :, i].unsqueeze(0).unsqueeze(0)).squeeze(0).squeeze(0)[0::k, 0::k])

    return torch.stack(new_img, dim=2).detach().cpu().numpy()

def _3d_gaussian_calculator(img, conv3d):
    out = conv3d(img.unsqueeze(0).unsqueeze(0)).squeeze(0).squeeze(0)
    return out

def _generate_3d_gaussian_kernel():
    kernel = cv2.getGaussianKernel(11, 1.5)
    window = np.outer(kernel, kernel.transpose())
    kernel_3 = cv2.getGaussianKernel(11, 1.5)
    kernel = torch.tensor(np.stack([window * k for k in kernel_3], axis=0))
    conv3d = torch.nn.Conv3d(1, 1, (11, 11, 11), stride=1, padding=(5, 5, 5), bias=False, padding_mode='replicate')
    conv3d.weight.requires_grad = False
    conv3d.weight[0, 0, :, :, :] = kernel
    return conv3d

def _ssim_3d(img1, img2, max_value):
    assert len(img1.shape) == 3 and len(img2.shape) == 3
    """Calculate SSIM (structural similarity) for one channel images.
    It is called by func:`calculate_ssim`.
    Args:
        img1 (ndarray): Images with range [0, 255]/[0, 1] with order 'HWC'.
        img2 (ndarray): Images with range [0, 255]/[0, 1] with order 'HWC'.
    Returns:
        float: ssim result.
    """
    C1 = (0.01 * max_value) ** 2
    C2 = (0.03 * max_value) ** 2
    img1 = img1.astype(np.float64)
    img2 = img2.astype(np.float64)

    kernel = _generate_3d_gaussian_kernel().cuda()

    img1 = torch.tensor(img1).float().cuda()
    img2 = torch.tensor(img2).float().cuda()


    mu1 = _3d_gaussian_calculator(img1, kernel)
    mu2 = _3d_gaussian_calculator(img2, kernel)

    mu1_sq = mu1 ** 2
    mu2_sq = mu2 ** 2
    mu1_mu2 = mu1 * mu2
    sigma1_sq = _3d_gaussian_calculator(img1 ** 2, kernel) - mu1_sq
    sigma2_sq = _3d_gaussian_calculator(img2 ** 2, kernel) - mu2_sq
    sigma12 = _3d_gaussian_calculator(img1*img2, kernel) - mu1_mu2

    ssim_map = ((2 * mu1_mu2 + C1) *
                (2 * sigma12 + C2)) / ((mu1_sq + mu2_sq + C1) *
                                       (sigma1_sq + sigma2_sq + C2))
    return float(ssim_map.mean())

def _ssim_cly(img1, img2):
    assert len(img1.shape) == 2 and len(img2.shape) == 2
    """Calculate SSIM (structural similarity) for one channel images.
    It is called by func:`calculate_ssim`.
    Args:
        img1 (ndarray): Images with range [0, 255] with order 'HWC'.
        img2 (ndarray): Images with range [0, 255] with order 'HWC'.
    Returns:
        float: ssim result.
    """

    C1 = (0.01 * 255)**2
    C2 = (0.03 * 255)**2
    img1 = img1.astype(np.float64)
    img2 = img2.astype(np.float64)

    kernel = cv2.getGaussianKernel(11, 1.5)
    # print(kernel)
    window = np.outer(kernel, kernel.transpose())

    bt = cv2.BORDER_REPLICATE

    mu1 = cv2.filter2D(img1, -1, window, borderType=bt)
    mu2 = cv2.filter2D(img2, -1, window,borderType=bt)

    mu1_sq = mu1**2
    mu2_sq = mu2**2
    mu1_mu2 = mu1 * mu2
    sigma1_sq = cv2.filter2D(img1**2, -1, window, borderType=bt) - mu1_sq
    sigma2_sq = cv2.filter2D(img2**2, -1, window, borderType=bt) - mu2_sq
    sigma12 = cv2.filter2D(img1 * img2, -1, window, borderType=bt) - mu1_mu2

    ssim_map = ((2 * mu1_mu2 + C1) *
                (2 * sigma12 + C2)) / ((mu1_sq + mu2_sq + C1) *
                                       (sigma1_sq + sigma2_sq + C2))
    return ssim_map.mean()


def calculate_ssim(img1,
                   img2,
                   crop_border,
                   input_order='HWC',
                   test_y_channel=False):
    """Calculate SSIM (structural similarity).
    Ref:
    Image quality assessment: From error visibility to structural similarity
    The results are the same as that of the official released MATLAB code in
    https://ece.uwaterloo.ca/~z70wang/research/ssim/.
    For three-channel images, SSIM is calculated for each channel and then
    averaged.
    Args:
        img1 (ndarray): Images with range [0, 255].
        img2 (ndarray): Images with range [0, 255].
        crop_border (int): Cropped pixels in each edge of an image. These
            pixels are not involved in the SSIM calculation.
        input_order (str): Whether the input order is 'HWC' or 'CHW'.
            Default: 'HWC'.
        test_y_channel (bool): Test on Y channel of YCbCr. Default: False.
    Returns:
        float: ssim result.
    """

    assert img1.shape == img2.shape, (
        f'Image shapes are differnet: {img1.shape}, {img2.shape}.')
    if input_order not in ['HWC', 'CHW']:
        raise ValueError(
            f'Wrong input_order {input_order}. Supported input_orders are '
            '"HWC" and "CHW"')

    if type(img1) == torch.Tensor:
        if len(img1.shape) == 4:
            img1 = img1.squeeze(0)
        img1 = img1.detach().cpu().numpy().transpose(1,2,0)
    if type(img2) == torch.Tensor:
        if len(img2.shape) == 4:
            img2 = img2.squeeze(0)
        img2 = img2.detach().cpu().numpy().transpose(1,2,0)

    img1 = reorder_image(img1, input_order=input_order)
    img2 = reorder_image(img2, input_order=input_order)

    img1 = img1.astype(np.float64)
    img2 = img2.astype(np.float64)

    if crop_border != 0:
        img1 = img1[crop_border:-crop_border, crop_border:-crop_border, ...]
        img2 = img2[crop_border:-crop_border, crop_border:-crop_border, ...]

    if test_y_channel:
        img1 = to_y_channel(img1)
        img2 = to_y_channel(img2)
        return _ssim_cly(img1[..., 0], img2[..., 0])


    ssims = []
    # ssims_before = []

    # skimage_before = skimage.metrics.structural_similarity(img1, img2, data_range=255., multichannel=True)
    # print('.._skimage',
    #       skimage.metrics.structural_similarity(img1, img2, data_range=255., multichannel=True))
    max_value = 1 if img1.max() <= 1 else 255
    with torch.no_grad():
        final_ssim = _ssim_3d(img1, img2, max_value)
        ssims.append(final_ssim)

    # for i in range(img1.shape[2]):
    #     ssims_before.append(_ssim(img1, img2))

    # print('..ssim mean , new {:.4f}  and before {:.4f} .... skimage before {:.4f}'.format(np.array(ssims).mean(), np.array(ssims_before).mean(), skimage_before))
        # ssims.append(skimage.metrics.structural_similarity(img1[..., i], img2[..., i], multichannel=False))

    return np.array(ssims).mean()