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import numpy as np
import torch
import torch.nn as nn
from transforms.ar_transforms.interpolation import Interp2, Meshgrid
def denormalize_coords(xx, yy, width, height):
"""scale indices from [-1, 1] to [0, width/height]"""
xx = 0.5 * (width - 1.0) * (xx.float() + 1.0)
yy = 0.5 * (height - 1.0) * (yy.float() + 1.0)
return xx, yy
def normalize_coords(xx, yy, width, height):
"""scale indices from [0, width/height] to [-1, 1]"""
xx = (2.0 / (width - 1.0)) * xx.float() - 1.0
yy = (2.0 / (height - 1.0)) * yy.float() - 1.0
return xx, yy
def apply_transform_to_params(theta0, theta_transform):
a1 = theta0[:, 0]
a2 = theta0[:, 1]
a3 = theta0[:, 2]
a4 = theta0[:, 3]
a5 = theta0[:, 4]
a6 = theta0[:, 5]
#
b1 = theta_transform[:, 0]
b2 = theta_transform[:, 1]
b3 = theta_transform[:, 2]
b4 = theta_transform[:, 3]
b5 = theta_transform[:, 4]
b6 = theta_transform[:, 5]
#
c1 = a1 * b1 + a4 * b2
c2 = a2 * b1 + a5 * b2
c3 = b3 + a3 * b1 + a6 * b2
c4 = a1 * b4 + a4 * b5
c5 = a2 * b4 + a5 * b5
c6 = b6 + a3 * b4 + a6 * b5
#
new_theta = torch.stack([c1, c2, c3, c4, c5, c6], dim=1)
return new_theta
class _IdentityParams(nn.Module):
def __init__(self):
super(_IdentityParams, self).__init__()
self._batch_size = 0
self.register_buffer("_o", torch.FloatTensor())
self.register_buffer("_i", torch.FloatTensor())
def _update(self, batch_size):
torch.zeros([batch_size, 1], out=self._o)
torch.ones([batch_size, 1], out=self._i)
return torch.cat([self._i, self._o, self._o, self._o, self._i, self._o], dim=1)
def forward(self, batch_size):
if self._batch_size != batch_size:
self._identity_params = self._update(batch_size)
self._batch_size = batch_size
return self._identity_params
class RandomMirror(nn.Module):
def __init__(self, vertical=True, p=0.5):
super(RandomMirror, self).__init__()
self._batch_size = 0
self._p = p
self._vertical = vertical
self.register_buffer("_mirror_probs", torch.FloatTensor())
def update_probs(self, batch_size):
torch.ones([batch_size, 1], out=self._mirror_probs)
self._mirror_probs *= self._p
def forward(self, theta_list):
batch_size = theta_list[0].size(0)
if batch_size != self._batch_size:
self.update_probs(batch_size)
self._batch_size = batch_size
# apply random sign to a1 a2 a3 (these are the guys responsible for x)
sign = torch.sign(2.0 * torch.bernoulli(self._mirror_probs) - 1.0)
i = torch.ones_like(sign)
horizontal_mirror = torch.cat([sign, sign, sign, i, i, i], dim=1)
theta_list = [theta * horizontal_mirror for theta in theta_list]
# apply random sign to a4 a5 a6 (these are the guys responsible for y)
if self._vertical:
sign = torch.sign(2.0 * torch.bernoulli(self._mirror_probs) - 1.0)
vertical_mirror = torch.cat([i, i, i, sign, sign, sign], dim=1)
theta_list = [theta * vertical_mirror for theta in theta_list]
return theta_list
class RandomAffineFlow(nn.Module):
def __init__(self, cfg, addnoise=True):
super(RandomAffineFlow, self).__init__()
self.cfg = cfg
self._interp2 = Interp2(clamp=False)
self._flow_interp2 = Interp2(clamp=False)
self._meshgrid = Meshgrid()
self._identity = _IdentityParams()
self._random_mirror = (
RandomMirror(cfg.vflip) if cfg.hflip else RandomMirror(p=1)
)
self._addnoise = addnoise
self.register_buffer("_noise1", torch.FloatTensor())
self.register_buffer("_noise2", torch.FloatTensor())
self.register_buffer("_xbounds", torch.FloatTensor([-1, -1, 1, 1]))
self.register_buffer("_ybounds", torch.FloatTensor([-1, 1, -1, 1]))
self.register_buffer("_x", torch.IntTensor(1))
self.register_buffer("_y", torch.IntTensor(1))
def inverse_transform_coords(
self, width, height, thetas, offset_x=None, offset_y=None
):
xx, yy = self._meshgrid(width=width, height=height)
xx = torch.unsqueeze(xx, dim=0).float()
yy = torch.unsqueeze(yy, dim=0).float()
if offset_x is not None:
xx = xx + offset_x
if offset_y is not None:
yy = yy + offset_y
a1 = thetas[:, 0].contiguous().view(-1, 1, 1)
a2 = thetas[:, 1].contiguous().view(-1, 1, 1)
a3 = thetas[:, 2].contiguous().view(-1, 1, 1)
a4 = thetas[:, 3].contiguous().view(-1, 1, 1)
a5 = thetas[:, 4].contiguous().view(-1, 1, 1)
a6 = thetas[:, 5].contiguous().view(-1, 1, 1)
xx, yy = normalize_coords(xx, yy, width=width, height=height)
xq = a1 * xx + a2 * yy + a3
yq = a4 * xx + a5 * yy + a6
xq, yq = denormalize_coords(xq, yq, width=width, height=height)
return xq, yq
def transform_coords(self, width, height, thetas):
xx1, yy1 = self._meshgrid(width=width, height=height)
xx, yy = normalize_coords(xx1, yy1, width=width, height=height)
def _unsqueeze12(u):
return torch.unsqueeze(torch.unsqueeze(u, dim=1), dim=1)
a1 = _unsqueeze12(thetas[:, 0])
a2 = _unsqueeze12(thetas[:, 1])
a3 = _unsqueeze12(thetas[:, 2])
a4 = _unsqueeze12(thetas[:, 3])
a5 = _unsqueeze12(thetas[:, 4])
a6 = _unsqueeze12(thetas[:, 5])
#
z = a1 * a5 - a2 * a4
b1 = a5 / z
b2 = -a2 / z
b4 = -a4 / z
b5 = a1 / z
#
xhat = xx - a3
yhat = yy - a6
xq = b1 * xhat + b2 * yhat
yq = b4 * xhat + b5 * yhat
xq, yq = denormalize_coords(xq, yq, width=width, height=height)
return xq, yq
def find_invalid(self, width, height, thetas):
x = self._xbounds
y = self._ybounds
#
a1 = torch.unsqueeze(thetas[:, 0], dim=1)
a2 = torch.unsqueeze(thetas[:, 1], dim=1)
a3 = torch.unsqueeze(thetas[:, 2], dim=1)
a4 = torch.unsqueeze(thetas[:, 3], dim=1)
a5 = torch.unsqueeze(thetas[:, 4], dim=1)
a6 = torch.unsqueeze(thetas[:, 5], dim=1)
#
z = a1 * a5 - a2 * a4
b1 = a5 / z
b2 = -a2 / z
b4 = -a4 / z
b5 = a1 / z
#
xhat = x - a3
yhat = y - a6
xq = b1 * xhat + b2 * yhat
yq = b4 * xhat + b5 * yhat
xq, yq = denormalize_coords(xq, yq, width=width, height=height)
#
invalid = ((xq < 0) | (yq < 0) | (xq >= width) | (yq >= height)).sum(
dim=1, keepdim=True
) > 0
return invalid
def apply_random_transforms_to_params(
self,
theta0,
max_translate,
min_zoom,
max_zoom,
min_squeeze,
max_squeeze,
min_rotate,
max_rotate,
validate_size=None,
):
max_translate *= 0.5
batch_size = theta0.size(0)
height, width = validate_size
# collect valid params here
thetas = torch.zeros_like(theta0)
zoom = theta0.new(batch_size, 1).zero_()
squeeze = torch.zeros_like(zoom)
tx = torch.zeros_like(zoom)
ty = torch.zeros_like(zoom)
phi = torch.zeros_like(zoom)
invalid = torch.ones_like(zoom).byte()
while invalid.sum() > 0:
# random sampling
zoom.uniform_(min_zoom, max_zoom)
squeeze.uniform_(min_squeeze, max_squeeze)
tx.uniform_(-max_translate, max_translate)
ty.uniform_(-max_translate, max_translate)
phi.uniform_(min_rotate, max_rotate)
# construct affine parameters
sx = zoom * squeeze
sy = zoom / squeeze
sin_phi = torch.sin(phi)
cos_phi = torch.cos(phi)
b1 = cos_phi * sx
b2 = sin_phi * sy
b3 = tx
b4 = -sin_phi * sx
b5 = cos_phi * sy
b6 = ty
theta_transform = torch.cat([b1, b2, b3, b4, b5, b6], dim=1)
theta_try = apply_transform_to_params(theta0, theta_transform)
thetas = invalid.float() * theta_try + (1 - invalid.float()) * thetas
# compute new invalid ones
invalid = self.find_invalid(width=width, height=height, thetas=thetas)
# here we should have good thetas within borders
return thetas
def transform_image(self, images, thetas):
batch_size, channels, height, width = images.size()
xq, yq = self.transform_coords(width=width, height=height, thetas=thetas)
transformed = self._interp2(images, xq, yq)
return transformed
def transform_flow(self, flow, theta1, theta2):
batch_size, channels, height, width = flow.size()
u = flow[:, 0, :, :]
v = flow[:, 1, :, :]
# inverse transform coords
x0, y0 = self.inverse_transform_coords(
width=width, height=height, thetas=theta1
)
x1, y1 = self.inverse_transform_coords(
width=width, height=height, thetas=theta2, offset_x=u, offset_y=v
)
# subtract and create new flow
u = x1 - x0
v = y1 - y0
new_flow = torch.stack([u, v], dim=1)
# transform coords
xq, yq = self.transform_coords(width=width, height=height, thetas=theta1)
# interp2
transformed = self._flow_interp2(new_flow, xq, yq)
return transformed
def forward(self, data):
# 01234 flow 12 21 23 32
imgs = data["imgs"]
full_segs = data["full_segs"]
flows_f = data["flows_f"]
masks_f = data["masks_f"]
batch_size, _, height, width = imgs[0].size()
# identity = no transform
theta0 = self._identity(batch_size)
# global transform
theta_list = [
self.apply_random_transforms_to_params(
theta0,
max_translate=self.cfg.trans[0],
min_zoom=self.cfg.zoom[0],
max_zoom=self.cfg.zoom[1],
min_squeeze=self.cfg.squeeze[0],
max_squeeze=self.cfg.squeeze[1],
min_rotate=self.cfg.rotate[0],
max_rotate=self.cfg.rotate[1],
validate_size=[height, width],
)
]
# relative transform
for _i in range(len(imgs) - 1):
theta_list.append(
self.apply_random_transforms_to_params(
theta_list[-1],
max_translate=self.cfg.trans[1],
min_zoom=self.cfg.zoom[2],
max_zoom=self.cfg.zoom[3],
min_squeeze=self.cfg.squeeze[2],
max_squeeze=self.cfg.squeeze[3],
min_rotate=self.cfg.rotate[2],
max_rotate=self.cfg.rotate[3],
validate_size=[height, width],
)
)
# random flip images
theta_list = self._random_mirror(theta_list)
# 01234
imgs = [self.transform_image(im, theta) for im, theta in zip(imgs, theta_list)]
full_segs = [
self.transform_image(full_seg, theta)
for full_seg, theta in zip(full_segs, theta_list)
]
if len(imgs) > 2:
theta_list = theta_list[1:-1]
# 12 23
flows_f = [
self.transform_flow(flo, theta1, theta2)
for flo, theta1, theta2 in zip(flows_f, theta_list[:-1], theta_list[1:])
]
masks_f = [
self.transform_image(mask, theta)
for mask, theta in zip(masks_f, theta_list)
]
if self._addnoise:
stddev = np.random.uniform(0.0, 0.04)
for im in imgs:
noise = torch.zeros_like(im)
noise.normal_(std=stddev)
im.add_(noise)
im.clamp_(0.0, 1.0)
data["imgs"] = imgs
data["full_segs"] = full_segs
data["flows_f"] = flows_f
data["masks_f"] = masks_f
return data
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