def forward(self, input):
latent_map = self.encoder(input)
contents = self.content_decoder(latent_map)
spectral_contents = fft2(contents)
attention = self.attention_decoder(latent_map)
spectral_attention = self.spectral_attention_decoder(latent_map)
# Unfold the tensor into a list of images
content_imgs = []
attention_imgs = []
spectral_attention_imgs = []
a_background = attention[:,
self.content_dim:self.content_dim + 1, :, :]
sa_background = spectral_attention[:,
self.content_dim:self.content_dim +
1, :, :]
content_imgs.append(input)
attention_imgs.append(a_background)
spectral_attention_imgs.append(sa_background)
img = input * a_background.repeat(1, 3, 1, 1)
s_img = self.sf_ratio * torch.abs(
ifft2(fft2(input) * sa_background.repeat(1, 3, 1, 1)))
for i in range(self.content_dim):
c = contents[:, i * 3:(i + 1) * 3, :, :]
content_imgs.append(c)
sc = spectral_contents[:, i * 3:(i + 1) * 3, :, :]
a = attention[:, i:i + 1, :, :]
attention_imgs.append(a)
sa = spectral_attention[:, i:i + 1, :, :]
spectral_attention_imgs.append(sa)
img += c * a.repeat(1, 3, 1, 1)
s_img += self.sf_ratio * torch.abs(
ifft2(sc * sa.repeat(1, 3, 1, 1)))
print(img.shape)
print(s_img.shape)
gen_img = self.fuser(torch.cat([img, s_img], 1))
#if self.visualize_hidden:
return gen_img, content_imgs[0], attention_imgs[
0], spectral_attention_imgs[0]
def sdsp(
x: Tensor,
filtr: Tensor,
value_range: float = 1.,
sigma_c: float = 0.001,
sigma_d: float = 145.,
) -> Tensor:
r"""Detects salient regions from :math:`x`.
Args:
x: An input tensor, :math:`(N, 3, H, W)`.
filtr: The frequency domain filter, :math:`(H, W)`.
value_range: The value range :math:`L` of the input (usually `1.` or `255`).
Note:
For the remaining arguments, refer to [Zhang2013]_.
Returns:
The visual saliency tensor, :math:`(N, H, W)`.
Example:
>>> x = torch.rand(5, 3, 256, 256)
>>> filtr = sdsp_filter(x)
>>> vs = sdsp(x, filtr)
>>> vs.size()
torch.Size([5, 256, 256])
"""
x_lab = xyz_to_lab(rgb_to_xyz(x, value_range))
# Frequency prior
x_f = fft.ifft2(fft.fft2(x_lab) * filtr)
x_f = cx.real(torch.view_as_real(x_f))
s_f = l2_norm(x_f, dims=[1])
# Color prior
x_ab = x_lab[:, 1:]
lo, _ = x_ab.flatten(-2).min(dim=-1)
up, _ = x_ab.flatten(-2).max(dim=-1)
lo = lo.view(lo.shape + (1, 1))
up = up.view(lo.shape)
span = torch.where(up > lo, up - lo, torch.tensor(1.).to(lo))
x_ab = (x_ab - lo) / span
s_c = 1. - torch.exp(-torch.sum(x_ab**2, dim=1) / sigma_c**2)
# Location prior
a, b = [torch.arange(n).to(x) - (n - 1) / 2 for n in x.shape[-2:]]
s_d = torch.exp(-(a[None, :]**2 + b[:, None]**2) / sigma_d**2)
# Visual saliency
vs = s_f * s_c * s_d
return vs
def reconstruct_from_pyramid(self, pyramid):
# Work out pyramid parameters, and check they match current settings.
n_orientations = len(pyramid[0]['b'])
n_levels = len(pyramid)
size = pyramid[0]['h'].size()
if n_orientations != self.n_orientations or \
n_levels != self.n_levels or \
size != self.image_size:
self.n_orientations = n_orientations
self.image_size = size
self.n_levels = n_levels
self.calculate_filters()
curr = fftshift(fft2(pyramid[-1]['l']))
for l in range(len(pyramid) - 2, -1, -1):
# Upsample the current reconstruction
tmp = torch.zeros([
curr.size(0),
curr.size(1),
curr.size(2) * 2,
curr.size(3) * 2
],
dtype=torch.complex64)
offsety = curr.size(-2) // 2
offsetx = curr.size(-1) // 2
tmp[:, :, offsety:3 * offsety, offsetx:3 * offsetx] = curr * 4
curr = tmp
curr = curr * self.L_FILT[l]
for b in range(len(self.B_FILT[l])):
curr += self.B_FILT[l][b] * fftshift(fft2(pyramid[l]['b'][b]))
reconstruction = curr * self.L0_FILT + fftshift(fft2(
pyramid[0]['h'])) * self.H0_FILT
return torch.real(ifft2(ifftshift(reconstruction)))
def fft(z):
"""
Torch 2D FFT wrapper. No padding. The FFT is applied to the 2 last dimensions.
Parameters
----------
z : tensor
Input.
Returns
-------
tensor
Output.
"""
return fft2(z, s=(-1, -1))
def construct_pyramid(self, image, n_levels, n_orientations):
if image.size() != self.image_size or \
n_levels != self.n_levels or \
n_orientations != self.n_orientations:
# Need to recalculate the filters.
self.image_size = image.size()
self.n_levels = n_levels
self.n_orientations = n_orientations
self.calculate_filters()
ft = fftshift(fft2(image))
curr_level = {}
pyramid = []
h0 = self.H0_FILT * ft
curr_level['h'] = torch.real(ifft2(ifftshift(h0)))
l0 = self.L0_FILT * ft
curr_level['l'] = torch.real(ifft2(ifftshift(l0)))
# apply bandpass filter(B) and downsample iteratively. save pyramid
_last = l0
for i in range(self.n_levels):
curr_level['b'] = []
for j in range(len(self.B_FILT[i])):
lb = _last * self.B_FILT[i][j]
curr_level['b'].append(torch.real(ifft2(ifftshift(lb))))
# apply lowpass filter(L) to image(Fourier Domain) downsampled.
l1 = _last * self.L_FILT[i]
## Downsampling
down_size = [l1.size(-2) // 4, l1.size(-1) // 4]
# extract the central part of DFT
down_image = l1[:, :, down_size[0]:3 * down_size[0],
down_size[1]:3 * down_size[1]] / 4
#
_last = down_image.clone()
pyramid.append(curr_level)
curr_level = {}
# lowpass residual
curr_level['l'] = torch.real(ifft2(ifftshift(_last)))
pyramid.append(curr_level)
return pyramid
def forward(self, input):
latent_map = self.encoder(input)
contents = self.content_decoder(latent_map)
spectral_contents = fft2(contents)
attention = self.attention_decoder(latent_map)
spectral_attention = self.spectral_attention_decoder(latent_map)
# Unfold the tensor into a list of images
content_imgs = {}
attention_imgs = {}
spectral_attention_imgs = {}
a_background = attention[:, self.content_dim:self.content_dim+1, :, :]
sa_background = spectral_attention[:, self.content_dim:self.content_dim+1, :, :]
content_imgs['bg'] = input
attention_imgs['bg'] = a_background
spectral_attention_imgs['bg'] = sa_background
gen_img =self.sf_ratio* input * a_background.repeat(1, 3, 1, 1) + self.sf_ratio*torch.abs(ifft2(fft2(input) * sa_background.repeat(1, 3, 1, 1)))
for i in range(self.content_dim):
c = contents[:, i * 3:(i + 1) * 3, :, :]
content_imgs['layer' + str(i)] = c
sc = spectral_contents[:, i * 3:(i + 1) * 3, :, :]
a = attention[:, i:i+1, :, :]
attention_imgs['layer' + str(i)] = a
sa = spectral_attention[:, i:i+1, :, :]
spectral_attention_imgs['layer' + str(i)] = sa
gen_img += c * a.repeat(1, 3, 1, 1) + self.sf_ratio*torch.abs(ifft2(sc * sa.repeat(1, 3, 1, 1)))
gen_img=F.tanh(gen_img)
#if self.visualize_hidden:
return gen_img,content_imgs['layer1'],attention_imgs['bg'],spectral_attention_imgs['bg']
def filters_tensor_morlet(self):
J = self.J
M = self.M
N = self.N
L = self.L
if self.path is not None:
hatpsi_ = torch.load(self.path + 'morlet_N' + str(N) + '_J' +
str(J) + '_L' + str(L) + '.pt') # (J,L,M,N,2)
hatpsi = torch.cat((hatpsi_, torch.flip(hatpsi_, (2, 3))),
dim=1).numpy() # (J,L2,M,N,2)
fftpsi = hatpsi[..., 0] + hatpsi[..., 1] * 1.0j
hatphi = torch.load(self.path + '/morlet_lp_N' + str(N) + '_J' +
str(J) + '_L' + str(L) +
'.pt').numpy() # (M,N,2)
else:
Sihao_filters = FiltersSet(M=N, N=N, J=J, L=L).generate_morlet()
hatpsi_ = Sihao_filters['psi'] # (J,L,M,N)
hatpsi_ = torch.cat((hatpsi_[..., None], hatpsi_[..., None] * 0),
dim=-1) # (J,L,M,N,2)
hatpsi = torch.cat((hatpsi_, torch.flip(hatpsi_, (2, 3))),
dim=1).numpy() # (J,L2,M,N,2)
fftpsi = hatpsi[..., 0] + hatpsi[..., 1] * 1.0j
hatphi = Sihao_filters['phi'] # (M,N)
hatphi = torch.cat((hatphi[..., None], hatphi[..., None] * 0),
dim=-1).numpy() # (M,N,2)
A = self.A
A_prime = self.A_prime
alphas = np.arange(A, dtype=np.float32) / (max(A, 1)) * np.pi * 2
alphas = np.exp(1j * alphas)
alphas_prime = np.arange(A_prime, dtype=np.float32) / (max(
A_prime, 1)) * np.pi * 2
alphas_prime = np.exp(1j * alphas_prime)
filt = np.zeros((J, 2 * L, A, self.M, self.N), dtype=np.complex_)
filt_prime = np.zeros((J, 2 * L, A_prime, self.M, self.N),
dtype=np.complex_)
for alpha in range(A):
for j in range(J):
for theta in range(L):
psi_signal = fftpsi[j, theta, ...]
filt[j, theta, alpha, :, :] = alphas[alpha] * psi_signal
filt[j, L+theta, alpha, :, :] = np.conj(alphas[alpha]) \
* psi_signal
for alpha in range(A_prime):
for j in range(J):
for theta in range(L):
psi_signal = fftpsi[j, theta, ...]
filt_prime[j, theta,
alpha, :, :] = alphas_prime[alpha] * psi_signal
filt_prime[j, L + theta, alpha, :, :] = np.conj(
alphas_prime[alpha]) * psi_signal
filters = np.stack((np.real(filt), np.imag(filt)), axis=-1)
filters_prime = np.stack((np.real(filt_prime), np.imag(filt_prime)),
axis=-1)
self.hatphi = torch.view_as_complex(torch.FloatTensor(hatphi)).type(
torch.cfloat) # (M,N,2)
self.hatpsi = torch.view_as_complex(torch.FloatTensor(filters)).type(
torch.cfloat)
self.hatpsi_prime = torch.view_as_complex(
torch.FloatTensor(filters_prime)).type(torch.cfloat)
# add haar
self.hathaar2d = torch.view_as_complex(torch.zeros(3, M, N, 2))
psi = torch.zeros(M, N, 2)
psi[1, 1, 1] = 1 / 4
psi[1, 2, 1] = -1 / 4
psi[2, 1, 1] = 1 / 4
psi[2, 2, 1] = -1 / 4
self.hathaar2d[0, :, :] = fft.fft2(torch.view_as_complex(psi))
psi[1, 1, 1] = 1 / 4
psi[1, 2, 1] = 1 / 4
psi[2, 1, 1] = -1 / 4
psi[2, 2, 1] = -1 / 4
self.hathaar2d[1, :, :] = fft.fft2(torch.view_as_complex(psi))
psi[1, 1, 1] = 1 / 4
psi[1, 2, 1] = -1 / 4
psi[2, 1, 1] = -1 / 4
psi[2, 2, 1] = 1 / 4
self.hathaar2d[2, :, :] = fft.fft2(torch.view_as_complex(psi))
# load masks for aperiodicity
self.masks = maskns(J, M, N).unsqueeze(1).unsqueeze(1) # (J, M, N)
def forward(self, input):
J = self.J
M = self.M
N = self.N
A = self.A
L = self.L
L2 = 2 * L
phi = self.hatphi
n = 0
pad = self.pad
wavelets = self.wavelets
x_c = padc(input) # add zeros to imag part -> (nb,M,N)
hatx_c = fft.fft2(torch.view_as_complex(x_c)).type(
torch.cfloat) # fft2 -> (nb,M,N)
if self.chunk_id < self.nb_chunks:
nb = hatx_c.shape[0]
hatpsi_la = self.hatpsi[:, :L, ...] # (J,L,A,M,N)
nb_channels = self.this_wph['la1'].shape[0]
t = 3 if wavelets == 'morlet' else 1 if wavelets == 'steer' else 0
if self.chunk_id < self.nb_chunks - 1:
Sout = input.new(nb, nb_channels, M, N)
else:
Sout = input.new(nb, nb_channels + 1 + t, M, N)
idxb = 0
hatx_bc = hatx_c[idxb, :, :] # (M,N)
hatxpsi_bc = hatpsi_la * hatx_bc.view(1, 1, 1, M,
N) # (J,L2,A,M,N)
xpsi_bc = fft.ifft2(hatxpsi_bc)
xpsi_bc_ = torch.real(xpsi_bc).relu()
xpsi_bc_ = xpsi_bc_ * self.masks
xpsi_bc0 = self.subinitmean1(xpsi_bc_)
xpsi_bc0_n = self.divinitstd1(xpsi_bc0)
xpsi_bc0_ = xpsi_bc0_n.view(1, J * L * A, M, N)
xpsi_bc_la1 = xpsi_bc0_[:, self.this_wph['la1'],
...] # (1,P_c,M,N)
xpsi_bc_la2 = xpsi_bc0_[:, self.this_wph['la2'],
...] # (1,P_c,M,N)
x1 = torch.view_as_complex(padc(xpsi_bc_la1))
x2 = torch.view_as_complex(padc(xpsi_bc_la2))
hatconv_xpsi_bc = fft.fft2(x1) * torch.conj(fft.fft2(x2))
conv_xpsi_bc = torch.real(fft.ifft2(hatconv_xpsi_bc))
masks_shift = self.masks_shift[self.this_wph['shifted'],
...].view(1, -1, M, N)
corr_bc = conv_xpsi_bc * masks_shift
Sout[idxb, 0:nb_channels, ...] = corr_bc[0, ...]
if self.chunk_id == self.nb_chunks - 1:
# ADD 1 channel for spatial phiJ
# add l2 phiJ to last channel
hatxphi_c = hatx_c * self.hatphi.view(1, M, N) # (nb,nc,M,N,2)
xphi_c = fft.fft2(hatxphi_c)
# haar filters
if wavelets == 'morlet':
for hid in range(3):
hatxpsih_c = hatx_c * self.hathaar2d[hid, :, :].view(
1, M, N) # (nb,nc,M,N)
xpsih_c = fft.ifft2(hatxpsih_c)
xpsih_c = self.divinitstdH[hid](xpsih_c)
xpsih_c = xpsih_c * self.masks[0, ...].view(1, M, N)
xpsih_mod = fft.fft2(
torch.view_as_complex(padc(xpsih_c.abs())))
xpsih_mod2 = fft.ifft2(xpsih_mod *
torch.conj(xpsih_mod))
xpsih_mod2 = torch.real(
xpsih_mod2[0, ...]) * self.masks_shift[-1, ...]
Sout[idxb, -4 + hid, ...] = xpsih_mod2
# submean from spatial M N
xphi0_c = self.subinitmeanJ(xphi_c)
xphi0_c = self.divinitstdJ(xphi0_c)
xphi0_c = xphi0_c * self.masks[-1, ...].view(1, M, N)
xphi0_mod = fft.fft2(torch.view_as_complex(padc(
xphi0_c.abs()))) # (nb,nc,M,N)
xphi0_mod2 = fft.ifft2(xphi0_mod *
torch.conj(xphi0_mod)) # (nb,nc,M,N)
xphi0_mean = torch.real(xphi0_mod2) * self.masks_shift[
-1, ...].view(1, M, N)
'''
# low-high corr
l_h_1 = padc(xpsi_bc0_).fft(2)
l_h_2 = self.subinitmeanin(hatx_bc)
l_h_2 = self.divinitstdin(l_h_2)
l_h = mulcu(l_h_1, conjugate(l_h_2)).ifft(2)[...,0]
l_h = l_h * self.masks_shift[1,...].view(1,1,M,N)
Sout[idxb, idxc, nb_channels+t:-(1+t),...] = l_h[0,...]
'''
Sout[idxb, -1, ...] = xphi0_mean[idxb, ...]
Sout = Sout.view(nb, -1, M * N)[..., self.indices]
Sout = Sout.view(-1)
Sout = torch.cat(
(Sout, input.mean().view(1), input.std().view(1))) * 1e-4
return Sout
def preprocess(self, X):
Z = F.normalize(X)
return fft2(Z, norm='ortho', dim=(2, 3))
def phase_congruency(
x: Tensor,
filters: Tensor,
value_range: float = 1.,
k: float = 2.,
rescale: float = 1.7,
eps: float = 1e-8,
) -> Tensor:
r"""Returns the Phase Congruency (PC) of :math:`x`.
Args:
x: An input tensor, :math:`(N, 1, H, W)`.
filters: The frequency domain filters, :math:`(S_1, S_2, H, W)`.
value_range: The value range :math:`L` of the input (usually `1.` or `255`).
Note:
For the remaining arguments, refer to [Kovesi1999]_.
Returns:
The PC tensor, :math:`(N, H, W)`.
Example:
>>> x = torch.rand(5, 1, 256, 256)
>>> filters = pc_filters(x)
>>> pc = phase_congruency(x, filters)
>>> pc.size()
torch.Size([5, 256, 256])
"""
x = x * (255. / value_range)
# Filters
M_hat = filters
M = fft.ifft2(M_hat)
M = cx.real(torch.view_as_real(M))
# Even & odd (real and imaginary) responses
eo = fft.ifft2(fft.fft2(x[:, None]) * M_hat)
eo = torch.view_as_real(eo)
# Amplitude
A = cx.mod(eo)
# Expected E^2
A2 = A[:, 0]**2
median_A2, _ = A2.flatten(-2).median(dim=-1)
expect_A2 = median_A2 / math.log(2)
expect_M2_hat = (M_hat[0]**2).mean(dim=(-1, -2))
expect_MiMj = (M[:, None] * M[None, :]).sum(dim=(0, 1, 3, 4))
expect_E2 = expect_A2 * expect_MiMj / expect_M2_hat
# Threshold
sigma_G = expect_E2.sqrt()
mu_R = sigma_G * (math.pi / 2)**0.5
sigma_R = sigma_G * (2 - math.pi / 2)**0.5
T = mu_R + k * sigma_R
T = T / rescale # emprirical rescaling
T = T[..., None, None]
# Phase deviation
FH = eo.sum(dim=1, keepdim=True)
phi_eo = FH / (cx.mod(FH)[..., None] + eps)
E = cx.dot(eo, phi_eo) - cx.dot(eo, cx.turn(phi_eo)).abs()
E = E.sum(dim=1)
# Phase congruency
pc = (E - T).relu().sum(dim=1) / (A.sum(dim=(1, 2)) + eps)
return pc
