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Zero
# | |
# Copyright (C) 2023, Inria | |
# GRAPHDECO research group, https://team.inria.fr/graphdeco | |
# All rights reserved. | |
# | |
# This software is free for non-commercial, research and evaluation use | |
# under the terms of the LICENSE.md file. | |
# | |
# For inquiries contact george.drettakis@inria.fr | |
# | |
import torch | |
import torch.nn.functional as F | |
from torch.autograd import Variable | |
from math import exp | |
def l1_loss(network_output, gt): | |
return torch.abs((network_output - gt)).mean() | |
def l2_loss(network_output, gt): | |
return ((network_output - gt) ** 2).mean() | |
def gaussian(window_size, sigma): | |
gauss = torch.Tensor([exp(-(x - window_size // 2) ** 2 / float(2 * sigma ** 2)) for x in range(window_size)]) | |
return gauss / gauss.sum() | |
def create_window(window_size, channel): | |
_1D_window = gaussian(window_size, 1.5).unsqueeze(1) | |
_2D_window = _1D_window.mm(_1D_window.t()).float().unsqueeze(0).unsqueeze(0) | |
window = Variable(_2D_window.expand(channel, 1, window_size, window_size).contiguous()) | |
return window | |
def ssim(img1, img2, window_size=11, size_average=True): | |
channel = img1.size(-3) | |
window = create_window(window_size, channel) | |
if img1.is_cuda: | |
window = window.cuda(img1.get_device()) | |
window = window.type_as(img1) | |
return _ssim(img1, img2, window, window_size, channel, size_average) | |
def _ssim(img1, img2, window, window_size, channel, size_average=True): | |
mu1 = F.conv2d(img1, window, padding=window_size // 2, groups=channel) | |
mu2 = F.conv2d(img2, window, padding=window_size // 2, groups=channel) | |
mu1_sq = mu1.pow(2) | |
mu2_sq = mu2.pow(2) | |
mu1_mu2 = mu1 * mu2 | |
sigma1_sq = F.conv2d(img1 * img1, window, padding=window_size // 2, groups=channel) - mu1_sq | |
sigma2_sq = F.conv2d(img2 * img2, window, padding=window_size // 2, groups=channel) - mu2_sq | |
sigma12 = F.conv2d(img1 * img2, window, padding=window_size // 2, groups=channel) - mu1_mu2 | |
C1 = 0.01 ** 2 | |
C2 = 0.03 ** 2 | |
ssim_map = ((2 * mu1_mu2 + C1) * (2 * sigma12 + C2)) / ((mu1_sq + mu2_sq + C1) * (sigma1_sq + sigma2_sq + C2)) | |
if size_average: | |
return ssim_map.mean() | |
else: | |
return ssim_map.mean(1).mean(1).mean(1) | |
def _ncc(img1, img2, window, window_size, channel, size_average=True): | |
mu1 = F.conv2d(img1, window, padding=window_size // 2, groups=channel) | |
mu2 = F.conv2d(img2, window, padding=window_size // 2, groups=channel) | |
mu1_sq = mu1.pow(2) | |
mu2_sq = mu2.pow(2) | |
sigma1_sq = F.conv2d(img1 * img1, window, padding=window_size // 2, groups=channel) - mu1_sq | |
sigma2_sq = F.conv2d(img2 * img2, window, padding=window_size // 2, groups=channel) - mu2_sq | |
sigma1 = torch.sqrt(sigma1_sq + 1e-4) | |
sigma2 = torch.sqrt(sigma2_sq + 1e-4) | |
image1_norm = (img1 - mu1) / (sigma1 + 1e-8) | |
image2_norm = (img2 - mu2) / (sigma2 + 1e-8) | |
ncc = F.conv2d((image1_norm * image2_norm), window, padding=0, groups=channel) | |
return torch.mean(ncc, dim=2) | |
# def _ncc(pred, gt, window, channel): | |
# ntotpx, nviews, nc, h, w = pred.shape | |
# flat_pred = pred.view(-1, nc, h, w) | |
# mu1 = F.conv2d(flat_pred, window, padding=0, groups=channel).view(ntotpx, nviews, nc) | |
# mu2 = F.conv2d(gt, window, padding=0, groups=channel).view(ntotpx, nc) | |
# mu1_sq = mu1.pow(2) | |
# mu2_sq = mu2.pow(2).unsqueeze(1) # (ntotpx, 1, nc) | |
# sigma1_sq = F.conv2d(flat_pred * flat_pred, window, padding=0, groups=channel).view(ntotpx, nviews, nc) - mu1_sq | |
# sigma2_sq = F.conv2d(gt * gt, window, padding=0, groups=channel).view(ntotpx, 1, 3) - mu2_sq | |
# sigma1 = torch.sqrt(sigma1_sq + 1e-4) | |
# sigma2 = torch.sqrt(sigma2_sq + 1e-4) | |
# pred_norm = (pred - mu1[:, :, :, None, None]) / (sigma1[:, :, :, None, None] + 1e-8) # [ntotpx, nviews, nc, h, w] | |
# gt_norm = (gt[:, None, :, :, :] - mu2[:, None, :, None, None]) / ( | |
# sigma2[:, :, :, None, None] + 1e-8) # ntotpx, nc, h, w | |
# ncc = F.conv2d((pred_norm * gt_norm).view(-1, nc, h, w), window, padding=0, groups=channel).view( | |
# ntotpx, nviews, nc) | |
# return torch.mean(ncc, dim=2) | |