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import torch
from PIL import Image
from app_utils import *
import torch.nn.functional as F
import numpy as np
from torchvision import transforms as TF
from scipy.special import i0
from scipy.optimize import curve_fit
from scipy.integrate import trapezoid
from functools import partial
def von_mises_pdf_alpha_numpy(alpha, x, mu, kappa):
normalization = 2 * np.pi
pdf = np.exp(kappa * np.cos(alpha * (x - mu))) / normalization
return pdf
def val_fit_alpha(distribute):
fit_alphas = []
for y_noise in distribute:
x = np.linspace(0, 2 * np.pi, 360)
y_noise /= trapezoid(y_noise, x) + 1e-8
initial_guess = [x[np.argmax(y_noise)], 1]
# support 1,2,4
alphas = [1.0, 2.0, 4.0]
saved_params = []
saved_r_squared = []
for alpha in alphas:
try:
von_mises_pdf_alpha_partial = partial(von_mises_pdf_alpha_numpy, alpha)
params, covariance = curve_fit(von_mises_pdf_alpha_partial, x, y_noise, p0=initial_guess)
residuals = y_noise - von_mises_pdf_alpha_partial(x, *params)
ss_res = np.sum(residuals**2)
ss_tot = np.sum((y_noise - np.mean(y_noise))**2)
r_squared = 1 - (ss_res / (ss_tot+1e-8))
saved_params.append(params)
saved_r_squared.append(r_squared)
if r_squared > 0.8:
break
except:
saved_params.append((0.,0.))
saved_r_squared.append(0.)
max_index = np.argmax(saved_r_squared)
alpha = alphas[max_index]
mu_fit, kappa_fit = saved_params[max_index]
r_squared = saved_r_squared[max_index]
if alpha == 1. and kappa_fit>=0.6 and r_squared>=0.45:
pass
elif alpha == 2. and kappa_fit>=0.4 and r_squared>=0.45:
pass
elif alpha == 4. and kappa_fit>=0.25 and r_squared>=0.45:
pass
else:
alpha=0.
fit_alphas.append(alpha)
return torch.tensor(fit_alphas)
def preprocess_images(image_list, mode="crop"):
# Check for empty list
if len(image_list) == 0:
raise ValueError("At least 1 image is required")
# Validate mode
if mode not in ["crop", "pad"]:
raise ValueError("Mode must be either 'crop' or 'pad'")
images = []
shapes = set()
to_tensor = TF.ToTensor()
target_size = 518
# First process all images and collect their shapes
# for image_path in image_path_list:
for img in image_list:
# If there's an alpha channel, blend onto white background:
if img.mode == "RGBA":
# Create white background
background = Image.new("RGBA", img.size, (255, 255, 255, 255))
# Alpha composite onto the white background
img = Image.alpha_composite(background, img)
# Now convert to "RGB" (this step assigns white for transparent areas)
img = img.convert("RGB")
width, height = img.size
if mode == "pad":
# Make the largest dimension 518px while maintaining aspect ratio
if width >= height:
new_width = target_size
new_height = round(height * (new_width / width) / 14) * 14 # Make divisible by 14
else:
new_height = target_size
new_width = round(width * (new_height / height) / 14) * 14 # Make divisible by 14
else: # mode == "crop"
# Original behavior: set width to 518px
new_width = target_size
# Calculate height maintaining aspect ratio, divisible by 14
new_height = round(height * (new_width / width) / 14) * 14
# Resize with new dimensions (width, height)
try:
img = img.resize((new_width, new_height), Image.Resampling.BICUBIC)
img = to_tensor(img) # Convert to tensor (0, 1)
except Exception as e:
print(e)
print(width, height)
print(new_width, new_height)
assert False
# Center crop height if it's larger than 518 (only in crop mode)
if mode == "crop" and new_height > target_size:
start_y = (new_height - target_size) // 2
img = img[:, start_y : start_y + target_size, :]
# For pad mode, pad to make a square of target_size x target_size
if mode == "pad":
h_padding = target_size - img.shape[1]
w_padding = target_size - img.shape[2]
if h_padding > 0 or w_padding > 0:
pad_top = h_padding // 2
pad_bottom = h_padding - pad_top
pad_left = w_padding // 2
pad_right = w_padding - pad_left
# Pad with white (value=1.0)
img = torch.nn.functional.pad(
img, (pad_left, pad_right, pad_top, pad_bottom), mode="constant", value=1.0
)
shapes.add((img.shape[1], img.shape[2]))
images.append(img)
# Check if we have different shapes
# In theory our model can also work well with different shapes
if len(shapes) > 1:
print(f"Warning: Found images with different shapes: {shapes}")
# Find maximum dimensions
max_height = max(shape[0] for shape in shapes)
max_width = max(shape[1] for shape in shapes)
# Pad images if necessary
padded_images = []
for img in images:
h_padding = max_height - img.shape[1]
w_padding = max_width - img.shape[2]
if h_padding > 0 or w_padding > 0:
pad_top = h_padding // 2
pad_bottom = h_padding - pad_top
pad_left = w_padding // 2
pad_right = w_padding - pad_left
img = torch.nn.functional.pad(
img, (pad_left, pad_right, pad_top, pad_bottom), mode="constant", value=1.0
)
padded_images.append(img)
images = padded_images
images = torch.stack(images) # concatenate images
# Ensure correct shape when single image
if len(image_list) == 1:
# Verify shape is (1, C, H, W)
if images.dim() == 3:
images = images.unsqueeze(0)
return images
@torch.no_grad()
def inf_single_batch(model, batch):
device = model.get_device()
batch_img_inputs = batch # (B, S, 3, H, W)
# print(batch_img_inputs.shape)
B, S, C, H, W = batch_img_inputs.shape
pose_enc = model(batch_img_inputs) # (B, S, D) S = 1
pose_enc = pose_enc.view(B*S, -1)
angle_az_pred = torch.argmax(pose_enc[:, 0:360] , dim=-1)
angle_el_pred = torch.argmax(pose_enc[:, 360:360+180] , dim=-1) - 90
angle_ro_pred = torch.argmax(pose_enc[:, 360+180:360+180+360] , dim=-1) - 180
# ori_val
# trained with BCE loss
distribute = F.sigmoid(pose_enc[:, 0:360]).cpu().float().numpy()
# trained with CE loss
# distribute = pose_enc[:, 0:360].cpu().float().numpy()
alpha_pred = val_fit_alpha(distribute = distribute)
# ref_val
if S > 1:
ref_az_pred = angle_az_pred.reshape(B,S)[:,0]
ref_el_pred = angle_el_pred.reshape(B,S)[:,0]
ref_ro_pred = angle_ro_pred.reshape(B,S)[:,0]
ref_alpha_pred = alpha_pred.reshape(B,S)[:,0]
rel_az_pred = angle_az_pred.reshape(B,S)[:,1]
rel_el_pred = angle_el_pred.reshape(B,S)[:,1]
rel_ro_pred = angle_ro_pred.reshape(B,S)[:,1]
else:
ref_az_pred = angle_az_pred[0]
ref_el_pred = angle_el_pred[0]
ref_ro_pred = angle_ro_pred[0]
ref_alpha_pred = alpha_pred[0]
rel_az_pred = 0.
rel_el_pred = 0.
rel_ro_pred = 0.
ans_dict = {
'ref_az_pred': ref_az_pred,
'ref_el_pred': ref_el_pred,
'ref_ro_pred': ref_ro_pred,
'ref_alpha_pred' : ref_alpha_pred,
'rel_az_pred' : rel_az_pred,
'rel_el_pred' : rel_el_pred,
'rel_ro_pred' : rel_ro_pred,
}
return ans_dict
# input PIL Image
@torch.no_grad()
def inf_single_case(model, image_ref, image_tgt):
if image_tgt is None:
image_list = [image_ref]
else:
image_list = [image_ref, image_tgt]
image_tensors = preprocess_images(image_list, mode="pad").to(model.get_device())
ans_dict = inf_single_batch(model=model, batch=image_tensors.unsqueeze(0))
print(ans_dict)
return ans_dict
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