ssim.py

import torch
import torch.nn.functional as F
from math import exp
import numpy as np

def gaussian(window_size, sigma):
    gauss = torch.Tensor([exp(-(x - window_size//2)**2/float(2*sigma**2)) for x in range(window_size)]).double()
    # gauss.requires_grad = True
    return gauss/gauss.sum()


def create_window(window_size):
    _1D_window = gaussian(window_size, 1.5).unsqueeze(1)
    _2D_window = _1D_window.mm(_1D_window.t()).double().unsqueeze(0).unsqueeze(0)
    window = _2D_window.expand(1, 1, window_size, window_size).contiguous()
    return window.cuda()


def ssim(img1, img2, window_size=11, size_average=True, full=False, val_range=None):
    # Value range can be different from 255. Other common ranges are 1 (sigmoid) and 2 (tanh).
    if val_range is None:
        if torch.max(img1) > 128:
            max_val = 255
        else:
            max_val = 1

        if torch.min(img1) < -0.5:
            min_val = -1
        else:
            min_val = 0
        L = max_val - min_val
    else:
        L = val_range

    padd = 0
    (_, channels, height, width) = img1.size()
    real_size = min(window_size, height, width)
    window = create_window(real_size)

    ret_channels = []
    cs_channels = []
    for ch in range(channels):  # loop over channels, then average
        img1_ch = torch.unsqueeze(img1[:, ch, :, :], 1)
        img2_ch = torch.unsqueeze(img2[:, ch, :, :], 1)
        mu1 = F.conv2d(img1_ch, window, padding=padd)
        mu2 = F.conv2d(img2_ch, window, padding=padd)

        mu1_sq = mu1.pow(2)
        mu2_sq = mu2.pow(2)
        mu1_mu2 = mu1 * mu2

        sigma1_sq = F.conv2d(img1_ch * img1_ch, window, padding=padd) - mu1_sq
        sigma2_sq = F.conv2d(img2_ch * img2_ch, window, padding=padd) - mu2_sq
        sigma12 = F.conv2d(img1_ch * img2_ch, window, padding=padd) - mu1_mu2

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

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

        v1 = 2.0 * sigma12 + C2
        v2 = sigma1_sq + sigma2_sq + C2
        cs = torch.mean(v1 / v2)  # contrast sensitivity

        if size_average:
            ret = ssim_map.mean()
        else:
            ret = ssim_map.mean(1).mean(1).mean(1)

        cs_channels.append(cs)
        ret_channels.append(ret)

    cs_mean = torch.mean(torch.stack(cs_channels), dim=-1)
    ret_mean = torch.mean(torch.stack(ret_channels), dim=-1)

    if full:
        return ret_mean, cs_mean
    return ret_mean


def msssim(img1, img2, window_size=11, size_average=True, val_range=None):
    device = img1.device
    weights = torch.FloatTensor([0.0448, 0.2856, 0.3001, 0.2363, 0.1333]).to(device)
    levels = weights.size()[0]
    mssim = []
    mcs = []
    for _ in range(levels):
        sim, cs = ssim(img1, img2, window_size=window_size, size_average=size_average, full=True, val_range=val_range)
        mssim.append(sim)
        mcs.append(cs)

        img1 = F.avg_pool2d(img1, (2, 2))
        img2 = F.avg_pool2d(img2, (2, 2))

    mssim = torch.stack(mssim)
    mcs = torch.stack(mcs)

    # # Normalize (to avoid NaNs)
    #
    # mssim = (mssim + 1) / 2
    # mcs = (mcs + 1) / 2

    pow1 = mcs ** weights
    pow2 = mssim ** weights
    # output = torch.prod(pow1 * pow2)
    # From Matlab implementation https://ece.uwaterloo.ca/~z70wang/research/iwssim/
    output = torch.prod(pow1[:-1] * pow2[-1])
    return output