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import torch | |
import torch.nn.functional as F | |
def coords_grid(b, h, w, homogeneous=False, device=None): | |
y, x = torch.meshgrid(torch.arange(h), torch.arange(w)) # [H, W] | |
stacks = [x, y] | |
if homogeneous: | |
ones = torch.ones_like(x) # [H, W] | |
stacks.append(ones) | |
grid = torch.stack(stacks, dim=0).float() # [2, H, W] or [3, H, W] | |
grid = grid[None].repeat(b, 1, 1, 1) # [B, 2, H, W] or [B, 3, H, W] | |
if device is not None: | |
grid = grid.to(device) | |
return grid | |
def generate_window_grid(h_min, h_max, w_min, w_max, len_h, len_w, device=None): | |
assert device is not None | |
x, y = torch.meshgrid([torch.linspace(w_min, w_max, len_w, device=device), | |
torch.linspace(h_min, h_max, len_h, device=device)], | |
) | |
grid = torch.stack((x, y), -1).transpose(0, 1).float() # [H, W, 2] | |
return grid | |
def normalize_coords(coords, h, w): | |
# coords: [B, H, W, 2] | |
c = torch.Tensor([(w - 1) / 2., (h - 1) / 2.]).float().to(coords.device) | |
return (coords - c) / c # [-1, 1] | |
def bilinear_sample(img, sample_coords, mode='bilinear', padding_mode='zeros', return_mask=False): | |
# img: [B, C, H, W] | |
# sample_coords: [B, 2, H, W] in image scale | |
if sample_coords.size(1) != 2: # [B, H, W, 2] | |
sample_coords = sample_coords.permute(0, 3, 1, 2) | |
b, _, h, w = sample_coords.shape | |
# Normalize to [-1, 1] | |
x_grid = 2 * sample_coords[:, 0] / (w - 1) - 1 | |
y_grid = 2 * sample_coords[:, 1] / (h - 1) - 1 | |
grid = torch.stack([x_grid, y_grid], dim=-1) # [B, H, W, 2] | |
img = F.grid_sample(img, grid, mode=mode, padding_mode=padding_mode, align_corners=True) | |
if return_mask: | |
mask = (x_grid >= -1) & (y_grid >= -1) & (x_grid <= 1) & (y_grid <= 1) # [B, H, W] | |
return img, mask | |
return img | |
def flow_warp(feature, flow, mask=False, padding_mode='zeros'): | |
b, c, h, w = feature.size() | |
assert flow.size(1) == 2 | |
grid = coords_grid(b, h, w).to(flow.device) + flow # [B, 2, H, W] | |
return bilinear_sample(feature, grid, padding_mode=padding_mode, | |
return_mask=mask) | |
def forward_backward_consistency_check(fwd_flow, bwd_flow, | |
alpha=0.01, | |
beta=0.5 | |
): | |
# fwd_flow, bwd_flow: [B, 2, H, W] | |
# alpha and beta values are following UnFlow (https://arxiv.org/abs/1711.07837) | |
assert fwd_flow.dim() == 4 and bwd_flow.dim() == 4 | |
assert fwd_flow.size(1) == 2 and bwd_flow.size(1) == 2 | |
flow_mag = torch.norm(fwd_flow, dim=1) + torch.norm(bwd_flow, dim=1) # [B, H, W] | |
warped_bwd_flow = flow_warp(bwd_flow, fwd_flow) # [B, 2, H, W] | |
warped_fwd_flow = flow_warp(fwd_flow, bwd_flow) # [B, 2, H, W] | |
diff_fwd = torch.norm(fwd_flow + warped_bwd_flow, dim=1) # [B, H, W] | |
diff_bwd = torch.norm(bwd_flow + warped_fwd_flow, dim=1) | |
threshold = alpha * flow_mag + beta | |
fwd_occ = (diff_fwd > threshold).float() # [B, H, W] | |
bwd_occ = (diff_bwd > threshold).float() | |
return fwd_occ, bwd_occ | |