import torch
import torch.nn.functional as F
from torch import nn
from torch.nn import BatchNorm2d
class AttributeDict(dict):
def __getattr__(self, attr):
try:
return self[attr]
except AttributeError as e:
raise AttributeError(f"{e}")
def __setattr__(self, attr, value):
self[attr] = value
def convert_dict_to_attrit_dict(dict_instance):
att_dict = AttributeDict()
for key, value in dict_instance.items():
if isinstance(value, dict):
value = convert_dict_to_attrit_dict(value)
att_dict.__setattr__(key, value)
return att_dict
def bilinear_sampler(img, coords, mode="bilinear", mask=False):
"""Wrapper for grid_sample, uses pixel coordinates"""
H, W = img.shape[-2:]
xgrid, ygrid = coords.split([1, 1], dim=-1)
xgrid = 2 * xgrid / (W - 1) - 1
ygrid = 2 * ygrid / (H - 1) - 1
grid = torch.cat([xgrid, ygrid], dim=-1)
img = F.grid_sample(img, grid, align_corners=True)
if mask:
mask = (xgrid > -1) & (ygrid > -1) & (xgrid < 1) & (ygrid < 1)
return img, mask.float()
return img
def batch_bilinear_sampler(
img, coords, mode="bilinear", mask=False, h=256, w=256, mini_batch=4
):
"""Wrapper for grid_sample, uses pixel coordinates"""
batch = img.shape[0] // (h * w)
num_iter = batch // mini_batch
sampled = []
for i in range(num_iter):
img_i = img[i * mini_batch * h * w : (i + 1) * mini_batch * h * w, :, :, :]
coords_i = coords[
i * mini_batch * h * w : (i + 1) * mini_batch * h * w, :, :, :
]
sampled.append(bilinear_sampler(img_i, coords_i))
return torch.cat(sampled, dim=0)
def coords_grid(batch, ht, wd, device):
coords = torch.meshgrid(
torch.arange(ht, device=device), torch.arange(wd, device=device)
)
coords = torch.stack(coords[::-1], dim=0).float()
return coords[None].repeat(batch, 1, 1, 1)
def kp2gaussian(kp, spatial_size, kp_variance):
"""
Transform a keypoint into gaussian like representation
"""
mean = kp
coordinate_grid = make_coordinate_grid(spatial_size, mean.type())
number_of_leading_dimensions = len(mean.shape) - 1
shape = (1,) * number_of_leading_dimensions + coordinate_grid.shape
coordinate_grid = coordinate_grid.view(*shape)
repeats = mean.shape[:number_of_leading_dimensions] + (1, 1, 1)
coordinate_grid = coordinate_grid.repeat(*repeats)
shape = mean.shape[:number_of_leading_dimensions] + (1, 1, 2)
mean = mean.view(*shape)
mean_sub = coordinate_grid - mean
out = torch.exp(-0.5 * (mean_sub**2).sum(-1) / kp_variance)
return out
def make_coordinate_grid(spatial_size, type):
"""
Create a meshgrid [-1,1] x [-1,1] of given spatial_size.
"""
h, w = spatial_size
x = torch.arange(w).type(type)
y = torch.arange(h).type(type)
x = 2 * (x / (w - 1)) - 1
y = 2 * (y / (h - 1)) - 1
yy = y.view(-1, 1).repeat(1, w)
xx = x.view(1, -1).repeat(h, 1)
meshed = torch.cat([xx.unsqueeze_(2), yy.unsqueeze_(2)], 2)
return meshed
class ChannelBlock2d(nn.Module):
"""
Res block, preserve spatial resolution.
"""
def __init__(self, in_features, kernel_size, padding):
super(ChannelBlock2d, self).__init__()
self.conv1 = nn.Conv2d(
in_channels=in_features,
out_channels=in_features // 2,
kernel_size=kernel_size,
padding=padding,
)
self.norm1 = BatchNorm2d(in_features, affine=True)
def forward(self, x):
out = self.norm1(x)
out = F.relu(out)
out = self.conv1(out)
return out
class ResBlock2d(nn.Module):
"""
Res block, preserve spatial resolution.
"""
def __init__(self, in_features, kernel_size, padding):
super(ResBlock2d, self).__init__()
self.conv1 = nn.Conv2d(
in_channels=in_features,
out_channels=in_features,
kernel_size=kernel_size,
padding=padding,
)
self.conv2 = nn.Conv2d(
in_channels=in_features,
out_channels=in_features,
kernel_size=kernel_size,
padding=padding,
)
self.norm1 = BatchNorm2d(in_features, affine=True)
self.norm2 = BatchNorm2d(in_features, affine=True)
def forward(self, x):
out = self.norm1(x)
out = F.relu(out)
out = self.conv1(out)
out = self.norm2(out)
out = F.relu(out)
out = self.conv2(out)
out += x
return out
class UpBlock2d(nn.Module):
"""
Upsampling block for use in decoder.
"""
def __init__(self, in_features, out_features, kernel_size=3, padding=1, groups=1):
super(UpBlock2d, self).__init__()
self.conv = nn.Conv2d(
in_channels=in_features,
out_channels=out_features,
kernel_size=kernel_size,
padding=padding,
groups=groups,
)
self.norm = BatchNorm2d(out_features, affine=True)
def forward(self, x):
out = F.interpolate(x, scale_factor=2)
out = self.conv(out)
out = self.norm(out)
out = F.relu(out)
return out
class DownBlock2d(nn.Module):
"""
Downsampling block for use in encoder.
"""
def __init__(self, in_features, out_features, kernel_size=3, padding=1, groups=1):
super(DownBlock2d, self).__init__()
self.conv = nn.Conv2d(
in_channels=in_features,
out_channels=out_features,
kernel_size=kernel_size,
padding=padding,
groups=groups,
)
self.norm = BatchNorm2d(out_features, affine=True)
self.pool = nn.AvgPool2d(kernel_size=(2, 2))
def forward(self, x):
out = self.conv(x)
out = self.norm(out)
out = F.relu(out)
out = self.pool(out)
return out
class SameBlock2d(nn.Module):
"""
Simple block, preserve spatial resolution.
"""
def __init__(self, in_features, out_features, groups=1, kernel_size=3, padding=1):
super(SameBlock2d, self).__init__()
self.conv = nn.Conv2d(
in_channels=in_features,
out_channels=out_features,
kernel_size=kernel_size,
padding=padding,
groups=groups,
)
self.norm = BatchNorm2d(out_features, affine=True)
def forward(self, x):
out = self.conv(x)
out = self.norm(out)
out = F.relu(out)
return out
class Encoder(nn.Module):
"""
Hourglass Encoder
"""
def __init__(self, block_expansion, in_features, num_blocks=3, max_features=256):
super(Encoder, self).__init__()
down_blocks = []
for i in range(num_blocks):
down_blocks.append(
DownBlock2d(
in_features
if i == 0
else min(max_features, block_expansion * (2**i)),
min(max_features, block_expansion * (2 ** (i + 1))),
kernel_size=3,
padding=1,
)
)
self.down_blocks = nn.ModuleList(down_blocks)
def forward(self, x):
outs = [x]
for down_block in self.down_blocks:
outs.append(down_block(outs[-1]))
return outs
class Decoder(nn.Module):
"""
Hourglass Decoder
"""
def __init__(self, block_expansion, in_features, num_blocks=3, max_features=256):
super(Decoder, self).__init__()
up_blocks = []
for i in range(num_blocks)[::-1]:
in_filters = (1 if i == num_blocks - 1 else 2) * min(
max_features, block_expansion * (2 ** (i + 1))
)
out_filters = min(max_features, block_expansion * (2**i))
up_blocks.append(
UpBlock2d(in_filters, out_filters, kernel_size=3, padding=1)
)
self.up_blocks = nn.ModuleList(up_blocks)
self.out_filters = block_expansion + in_features
def forward(self, x):
out = x.pop()
for up_block in self.up_blocks:
out = up_block(out)
skip = x.pop()
out = torch.cat([out, skip], dim=1)
return out
class Hourglass(nn.Module):
"""
Hourglass architecture.
"""
def __init__(self, block_expansion, in_features, num_blocks=3, max_features=256):
super(Hourglass, self).__init__()
self.encoder = Encoder(block_expansion, in_features, num_blocks, max_features)
self.decoder = Decoder(block_expansion, in_features, num_blocks, max_features)
self.out_filters = self.decoder.out_filters
def forward(self, x):
return self.decoder(self.encoder(x))
class AntiAliasInterpolation2d(nn.Module):
"""
Band-limited downsampling, for better preservation of the input signal.
"""
def __init__(self, channels, scale):
super(AntiAliasInterpolation2d, self).__init__()
sigma = (1 / scale - 1) / 2
kernel_size = 2 * round(sigma * 4) + 1
self.ka = kernel_size // 2
self.kb = self.ka - 1 if kernel_size % 2 == 0 else self.ka
kernel_size = [kernel_size, kernel_size]
sigma = [sigma, sigma]
kernel = 1
meshgrids = torch.meshgrid(
[torch.arange(size, dtype=torch.float32) for size in kernel_size]
)
for size, std, mgrid in zip(kernel_size, sigma, meshgrids):
mean = (size - 1) / 2
kernel *= torch.exp(-((mgrid - mean) ** 2) / (2 * std**2))
kernel = kernel / torch.sum(kernel)
kernel = kernel.view(1, 1, *kernel.size())
kernel = kernel.repeat(channels, *[1] * (kernel.dim() - 1))
self.register_buffer("weight", kernel)
self.groups = channels
self.scale = scale
def forward(self, input):
if self.scale == 1.0:
return input
out = F.pad(input, (self.ka, self.kb, self.ka, self.kb))
out = F.conv2d(out, weight=self.weight, groups=self.groups)
out = F.interpolate(out, scale_factor=(self.scale, self.scale))
return out
def to_homogeneous(coordinates):
ones_shape = list(coordinates.shape)
ones_shape[-1] = 1
ones = torch.ones(ones_shape).type(coordinates.type())
return torch.cat([coordinates, ones], dim=-1)
def from_homogeneous(coordinates):
return coordinates[..., :2] / coordinates[..., 2:3]
class TPS:
"""
TPS transformation, mode 'kp' for Eq(2) in the paper, mode 'random' for equivariance loss.
"""
def __init__(self, mode, bs, **kwargs):
self.bs = bs
self.mode = mode
if mode == "random":
noise = torch.normal(
mean=0, std=kwargs["sigma_affine"] * torch.ones([bs, 2, 3])
)
self.theta = noise + torch.eye(2, 3).view(1, 2, 3)
self.control_points = make_coordinate_grid(
(kwargs["points_tps"], kwargs["points_tps"]), type=noise.type()
)
self.control_points = self.control_points.unsqueeze(0)
self.control_params = torch.normal(
mean=0,
std=kwargs["sigma_tps"]
* torch.ones([bs, 1, kwargs["points_tps"] ** 2]),
)
elif mode == "kp":
kp_1 = kwargs["kp_1"]
kp_2 = kwargs["kp_2"]
device = kp_1.device
kp_type = kp_1.type()
self.gs = kp_1.shape[1]
n = kp_1.shape[2]
K = torch.norm(kp_1[:, :, :, None] - kp_1[:, :, None, :], dim=4, p=2)
K = K**2
K = K * torch.log(K + 1e-9)
one1 = (
torch.ones(self.bs, kp_1.shape[1], kp_1.shape[2], 1)
.to(device)
.type(kp_type)
)
kp_1p = torch.cat([kp_1, one1], 3)
zero = torch.zeros(self.bs, kp_1.shape[1], 3, 3).to(device).type(kp_type)
P = torch.cat([kp_1p, zero], 2)
L = torch.cat([K, kp_1p.permute(0, 1, 3, 2)], 2)
L = torch.cat([L, P], 3)
zero = torch.zeros(self.bs, kp_1.shape[1], 3, 2).to(device).type(kp_type)
Y = torch.cat([kp_2, zero], 2)
one = torch.eye(L.shape[2]).expand(L.shape).to(device).type(kp_type) * 0.01
L = L + one
param = torch.matmul(torch.inverse(L), Y)
self.theta = param[:, :, n:, :].permute(0, 1, 3, 2)
self.control_points = kp_1
self.control_params = param[:, :, :n, :]
else:
raise Exception("Error TPS mode")
def transform_frame(self, frame):
grid = (
make_coordinate_grid(frame.shape[2:], type=frame.type())
.unsqueeze(0)
.to(frame.device)
)
grid = grid.view(1, frame.shape[2] * frame.shape[3], 2)
shape = [self.bs, frame.shape[2], frame.shape[3], 2]
if self.mode == "kp":
shape.insert(1, self.gs)
grid = self.warp_coordinates(grid).view(*shape)
return grid
def warp_coordinates(self, coordinates):
theta = self.theta.type(coordinates.type()).to(coordinates.device)
control_points = self.control_points.type(coordinates.type()).to(
coordinates.device
)
control_params = self.control_params.type(coordinates.type()).to(
coordinates.device
)
if self.mode == "kp":
transformed = (
torch.matmul(theta[:, :, :, :2], coordinates.permute(0, 2, 1))
+ theta[:, :, :, 2:]
)
distances = coordinates.view(
coordinates.shape[0], 1, 1, -1, 2
) - control_points.view(self.bs, control_points.shape[1], -1, 1, 2)
distances = distances**2
result = distances.sum(-1)
result = result * torch.log(result + 1e-9)
result = torch.matmul(result.permute(0, 1, 3, 2), control_params)
transformed = transformed.permute(0, 1, 3, 2) + result
elif self.mode == "random":
theta = theta.unsqueeze(1)
transformed = (
torch.matmul(theta[:, :, :, :2], coordinates.unsqueeze(-1))
+ theta[:, :, :, 2:]
)
transformed = transformed.squeeze(-1)
ances = coordinates.view(
coordinates.shape[0], -1, 1, 2
) - control_points.view(1, 1, -1, 2)
distances = ances**2
result = distances.sum(-1)
result = result * torch.log(result + 1e-9)
result = result * control_params
result = result.sum(dim=2).view(self.bs, coordinates.shape[1], 1)
transformed = transformed + result
else:
raise Exception("Error TPS mode")
return transformed