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# Copyright 2024 Bingxin Ke, ETH Zurich and The HuggingFace Team. All rights reserved. | |
# | |
# Licensed under the Apache License, Version 2.0 (the "License"); | |
# you may not use this file except in compliance with the License. | |
# You may obtain a copy of the License at | |
# | |
# http://www.apache.org/licenses/LICENSE-2.0 | |
# | |
# Unless required by applicable law or agreed to in writing, software | |
# distributed under the License is distributed on an "AS IS" BASIS, | |
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | |
# See the License for the specific language governing permissions and | |
# limitations under the License. | |
# -------------------------------------------------------------------------- | |
# If you find this code useful, we kindly ask you to cite our paper in your work. | |
# Please find bibtex at: https://github.com/prs-eth/Marigold#-citation | |
# More information about the method can be found at https://marigoldmonodepth.github.io | |
# -------------------------------------------------------------------------- | |
import logging | |
import math | |
from typing import Dict, Union | |
import matplotlib | |
import numpy as np | |
import torch | |
from PIL import Image | |
from PIL.Image import Resampling | |
from scipy.optimize import minimize | |
from torch.utils.data import DataLoader, TensorDataset | |
from tqdm.auto import tqdm | |
from transformers import CLIPTextModel, CLIPTokenizer | |
from diffusers import ( | |
AutoencoderKL, | |
DDIMScheduler, | |
DiffusionPipeline, | |
LCMScheduler, | |
UNet2DConditionModel, | |
) | |
from diffusers.utils import BaseOutput, check_min_version | |
# Will error if the minimal version of diffusers is not installed. Remove at your own risks. | |
check_min_version("0.30.0.dev0") | |
class MarigoldDepthOutput(BaseOutput): | |
""" | |
Output class for Marigold monocular depth prediction pipeline. | |
Args: | |
depth_np (`np.ndarray`): | |
Predicted depth map, with depth values in the range of [0, 1]. | |
depth_colored (`None` or `PIL.Image.Image`): | |
Colorized depth map, with the shape of [3, H, W] and values in [0, 1]. | |
uncertainty (`None` or `np.ndarray`): | |
Uncalibrated uncertainty(MAD, median absolute deviation) coming from ensembling. | |
""" | |
depth_np: np.ndarray | |
depth_colored: Union[None, Image.Image] | |
uncertainty: Union[None, np.ndarray] | |
def get_pil_resample_method(method_str: str) -> Resampling: | |
resample_method_dic = { | |
"bilinear": Resampling.BILINEAR, | |
"bicubic": Resampling.BICUBIC, | |
"nearest": Resampling.NEAREST, | |
} | |
resample_method = resample_method_dic.get(method_str, None) | |
if resample_method is None: | |
raise ValueError(f"Unknown resampling method: {resample_method}") | |
else: | |
return resample_method | |
class MarigoldPipeline(DiffusionPipeline): | |
""" | |
Pipeline for monocular depth estimation using Marigold: https://marigoldmonodepth.github.io. | |
This model inherits from [`DiffusionPipeline`]. Check the superclass documentation for the generic methods the | |
library implements for all the pipelines (such as downloading or saving, running on a particular device, etc.) | |
Args: | |
unet (`UNet2DConditionModel`): | |
Conditional U-Net to denoise the depth latent, conditioned on image latent. | |
vae (`AutoencoderKL`): | |
Variational Auto-Encoder (VAE) Model to encode and decode images and depth maps | |
to and from latent representations. | |
scheduler (`DDIMScheduler`): | |
A scheduler to be used in combination with `unet` to denoise the encoded image latents. | |
text_encoder (`CLIPTextModel`): | |
Text-encoder, for empty text embedding. | |
tokenizer (`CLIPTokenizer`): | |
CLIP tokenizer. | |
""" | |
rgb_latent_scale_factor = 0.18215 | |
depth_latent_scale_factor = 0.18215 | |
def __init__( | |
self, | |
unet: UNet2DConditionModel, | |
vae: AutoencoderKL, | |
scheduler: DDIMScheduler, | |
text_encoder: CLIPTextModel, | |
tokenizer: CLIPTokenizer, | |
): | |
super().__init__() | |
self.register_modules( | |
unet=unet, | |
vae=vae, | |
scheduler=scheduler, | |
text_encoder=text_encoder, | |
tokenizer=tokenizer, | |
) | |
self.empty_text_embed = None | |
def __call__( | |
self, | |
input_image: Image, | |
denoising_steps: int = 10, | |
ensemble_size: int = 10, | |
processing_res: int = 768, | |
match_input_res: bool = True, | |
resample_method: str = "bilinear", | |
batch_size: int = 0, | |
seed: Union[int, None] = None, | |
color_map: str = "Spectral", | |
show_progress_bar: bool = True, | |
ensemble_kwargs: Dict = None, | |
) -> MarigoldDepthOutput: | |
""" | |
Function invoked when calling the pipeline. | |
Args: | |
input_image (`Image`): | |
Input RGB (or gray-scale) image. | |
processing_res (`int`, *optional*, defaults to `768`): | |
Maximum resolution of processing. | |
If set to 0: will not resize at all. | |
match_input_res (`bool`, *optional*, defaults to `True`): | |
Resize depth prediction to match input resolution. | |
Only valid if `processing_res` > 0. | |
resample_method: (`str`, *optional*, defaults to `bilinear`): | |
Resampling method used to resize images and depth predictions. This can be one of `bilinear`, `bicubic` or `nearest`, defaults to: `bilinear`. | |
denoising_steps (`int`, *optional*, defaults to `10`): | |
Number of diffusion denoising steps (DDIM) during inference. | |
ensemble_size (`int`, *optional*, defaults to `10`): | |
Number of predictions to be ensembled. | |
batch_size (`int`, *optional*, defaults to `0`): | |
Inference batch size, no bigger than `num_ensemble`. | |
If set to 0, the script will automatically decide the proper batch size. | |
seed (`int`, *optional*, defaults to `None`) | |
Reproducibility seed. | |
show_progress_bar (`bool`, *optional*, defaults to `True`): | |
Display a progress bar of diffusion denoising. | |
color_map (`str`, *optional*, defaults to `"Spectral"`, pass `None` to skip colorized depth map generation): | |
Colormap used to colorize the depth map. | |
ensemble_kwargs (`dict`, *optional*, defaults to `None`): | |
Arguments for detailed ensembling settings. | |
Returns: | |
`MarigoldDepthOutput`: Output class for Marigold monocular depth prediction pipeline, including: | |
- **depth_np** (`np.ndarray`) Predicted depth map, with depth values in the range of [0, 1] | |
- **depth_colored** (`PIL.Image.Image`) Colorized depth map, with the shape of [3, H, W] and values in [0, 1], None if `color_map` is `None` | |
- **uncertainty** (`None` or `np.ndarray`) Uncalibrated uncertainty(MAD, median absolute deviation) | |
coming from ensembling. None if `ensemble_size = 1` | |
""" | |
device = self.device | |
input_size = input_image.size | |
if not match_input_res: | |
assert processing_res is not None, "Value error: `resize_output_back` is only valid with " | |
assert processing_res >= 0 | |
assert ensemble_size >= 1 | |
# Check if denoising step is reasonable | |
self._check_inference_step(denoising_steps) | |
resample_method: Resampling = get_pil_resample_method(resample_method) | |
# ----------------- Image Preprocess ----------------- | |
# Resize image | |
if processing_res > 0: | |
input_image = self.resize_max_res( | |
input_image, | |
max_edge_resolution=processing_res, | |
resample_method=resample_method, | |
) | |
# Convert the image to RGB, to 1.remove the alpha channel 2.convert B&W to 3-channel | |
input_image = input_image.convert("RGB") | |
image = np.asarray(input_image) | |
# Normalize rgb values | |
rgb = np.transpose(image, (2, 0, 1)) # [H, W, rgb] -> [rgb, H, W] | |
rgb_norm = rgb / 255.0 * 2.0 - 1.0 # [0, 255] -> [-1, 1] | |
rgb_norm = torch.from_numpy(rgb_norm).to(self.dtype) | |
rgb_norm = rgb_norm.to(device) | |
assert rgb_norm.min() >= -1.0 and rgb_norm.max() <= 1.0 | |
# ----------------- Predicting depth ----------------- | |
# Batch repeated input image | |
duplicated_rgb = torch.stack([rgb_norm] * ensemble_size) | |
single_rgb_dataset = TensorDataset(duplicated_rgb) | |
if batch_size > 0: | |
_bs = batch_size | |
else: | |
_bs = self._find_batch_size( | |
ensemble_size=ensemble_size, | |
input_res=max(rgb_norm.shape[1:]), | |
dtype=self.dtype, | |
) | |
single_rgb_loader = DataLoader(single_rgb_dataset, batch_size=_bs, shuffle=False) | |
# Predict depth maps (batched) | |
depth_pred_ls = [] | |
if show_progress_bar: | |
iterable = tqdm(single_rgb_loader, desc=" " * 2 + "Inference batches", leave=False) | |
else: | |
iterable = single_rgb_loader | |
for batch in iterable: | |
(batched_img,) = batch | |
depth_pred_raw = self.single_infer( | |
rgb_in=batched_img, | |
num_inference_steps=denoising_steps, | |
show_pbar=show_progress_bar, | |
seed=seed, | |
) | |
depth_pred_ls.append(depth_pred_raw.detach()) | |
depth_preds = torch.concat(depth_pred_ls, dim=0).squeeze() | |
torch.cuda.empty_cache() # clear vram cache for ensembling | |
# ----------------- Test-time ensembling ----------------- | |
if ensemble_size > 1: | |
depth_pred, pred_uncert = self.ensemble_depths(depth_preds, **(ensemble_kwargs or {})) | |
else: | |
depth_pred = depth_preds | |
pred_uncert = None | |
# ----------------- Post processing ----------------- | |
# Scale prediction to [0, 1] | |
min_d = torch.min(depth_pred) | |
max_d = torch.max(depth_pred) | |
depth_pred = (depth_pred - min_d) / (max_d - min_d) | |
# Convert to numpy | |
depth_pred = depth_pred.cpu().numpy().astype(np.float32) | |
# Resize back to original resolution | |
if match_input_res: | |
pred_img = Image.fromarray(depth_pred) | |
pred_img = pred_img.resize(input_size, resample=resample_method) | |
depth_pred = np.asarray(pred_img) | |
# Clip output range | |
depth_pred = depth_pred.clip(0, 1) | |
# Colorize | |
if color_map is not None: | |
depth_colored = self.colorize_depth_maps( | |
depth_pred, 0, 1, cmap=color_map | |
).squeeze() # [3, H, W], value in (0, 1) | |
depth_colored = (depth_colored * 255).astype(np.uint8) | |
depth_colored_hwc = self.chw2hwc(depth_colored) | |
depth_colored_img = Image.fromarray(depth_colored_hwc) | |
else: | |
depth_colored_img = None | |
return MarigoldDepthOutput( | |
depth_np=depth_pred, | |
depth_colored=depth_colored_img, | |
uncertainty=pred_uncert, | |
) | |
def _check_inference_step(self, n_step: int): | |
""" | |
Check if denoising step is reasonable | |
Args: | |
n_step (`int`): denoising steps | |
""" | |
assert n_step >= 1 | |
if isinstance(self.scheduler, DDIMScheduler): | |
if n_step < 10: | |
logging.warning( | |
f"Too few denoising steps: {n_step}. Recommended to use the LCM checkpoint for few-step inference." | |
) | |
elif isinstance(self.scheduler, LCMScheduler): | |
if not 1 <= n_step <= 4: | |
logging.warning(f"Non-optimal setting of denoising steps: {n_step}. Recommended setting is 1-4 steps.") | |
else: | |
raise RuntimeError(f"Unsupported scheduler type: {type(self.scheduler)}") | |
def _encode_empty_text(self): | |
""" | |
Encode text embedding for empty prompt. | |
""" | |
prompt = "" | |
text_inputs = self.tokenizer( | |
prompt, | |
padding="do_not_pad", | |
max_length=self.tokenizer.model_max_length, | |
truncation=True, | |
return_tensors="pt", | |
) | |
text_input_ids = text_inputs.input_ids.to(self.text_encoder.device) | |
self.empty_text_embed = self.text_encoder(text_input_ids)[0].to(self.dtype) | |
def single_infer( | |
self, | |
rgb_in: torch.Tensor, | |
num_inference_steps: int, | |
seed: Union[int, None], | |
show_pbar: bool, | |
) -> torch.Tensor: | |
""" | |
Perform an individual depth prediction without ensembling. | |
Args: | |
rgb_in (`torch.Tensor`): | |
Input RGB image. | |
num_inference_steps (`int`): | |
Number of diffusion denoisign steps (DDIM) during inference. | |
show_pbar (`bool`): | |
Display a progress bar of diffusion denoising. | |
Returns: | |
`torch.Tensor`: Predicted depth map. | |
""" | |
device = rgb_in.device | |
# Set timesteps | |
self.scheduler.set_timesteps(num_inference_steps, device=device) | |
timesteps = self.scheduler.timesteps # [T] | |
# Encode image | |
rgb_latent = self.encode_rgb(rgb_in) | |
# Initial depth map (noise) | |
if seed is None: | |
rand_num_generator = None | |
else: | |
rand_num_generator = torch.Generator(device=device) | |
rand_num_generator.manual_seed(seed) | |
depth_latent = torch.randn( | |
rgb_latent.shape, | |
device=device, | |
dtype=self.dtype, | |
generator=rand_num_generator, | |
) # [B, 4, h, w] | |
# Batched empty text embedding | |
if self.empty_text_embed is None: | |
self._encode_empty_text() | |
batch_empty_text_embed = self.empty_text_embed.repeat((rgb_latent.shape[0], 1, 1)) # [B, 2, 1024] | |
# Denoising loop | |
if show_pbar: | |
iterable = tqdm( | |
enumerate(timesteps), | |
total=len(timesteps), | |
leave=False, | |
desc=" " * 4 + "Diffusion denoising", | |
) | |
else: | |
iterable = enumerate(timesteps) | |
for i, t in iterable: | |
unet_input = torch.cat([rgb_latent, depth_latent], dim=1) # this order is important | |
# predict the noise residual | |
noise_pred = self.unet(unet_input, t, encoder_hidden_states=batch_empty_text_embed).sample # [B, 4, h, w] | |
# compute the previous noisy sample x_t -> x_t-1 | |
depth_latent = self.scheduler.step(noise_pred, t, depth_latent, generator=rand_num_generator).prev_sample | |
depth = self.decode_depth(depth_latent) | |
# clip prediction | |
depth = torch.clip(depth, -1.0, 1.0) | |
# shift to [0, 1] | |
depth = (depth + 1.0) / 2.0 | |
return depth | |
def encode_rgb(self, rgb_in: torch.Tensor) -> torch.Tensor: | |
""" | |
Encode RGB image into latent. | |
Args: | |
rgb_in (`torch.Tensor`): | |
Input RGB image to be encoded. | |
Returns: | |
`torch.Tensor`: Image latent. | |
""" | |
# encode | |
h = self.vae.encoder(rgb_in) | |
moments = self.vae.quant_conv(h) | |
mean, logvar = torch.chunk(moments, 2, dim=1) | |
# scale latent | |
rgb_latent = mean * self.rgb_latent_scale_factor | |
return rgb_latent | |
def decode_depth(self, depth_latent: torch.Tensor) -> torch.Tensor: | |
""" | |
Decode depth latent into depth map. | |
Args: | |
depth_latent (`torch.Tensor`): | |
Depth latent to be decoded. | |
Returns: | |
`torch.Tensor`: Decoded depth map. | |
""" | |
# scale latent | |
depth_latent = depth_latent / self.depth_latent_scale_factor | |
# decode | |
z = self.vae.post_quant_conv(depth_latent) | |
stacked = self.vae.decoder(z) | |
# mean of output channels | |
depth_mean = stacked.mean(dim=1, keepdim=True) | |
return depth_mean | |
def resize_max_res(img: Image.Image, max_edge_resolution: int, resample_method=Resampling.BILINEAR) -> Image.Image: | |
""" | |
Resize image to limit maximum edge length while keeping aspect ratio. | |
Args: | |
img (`Image.Image`): | |
Image to be resized. | |
max_edge_resolution (`int`): | |
Maximum edge length (pixel). | |
resample_method (`PIL.Image.Resampling`): | |
Resampling method used to resize images. | |
Returns: | |
`Image.Image`: Resized image. | |
""" | |
original_width, original_height = img.size | |
downscale_factor = min(max_edge_resolution / original_width, max_edge_resolution / original_height) | |
new_width = int(original_width * downscale_factor) | |
new_height = int(original_height * downscale_factor) | |
resized_img = img.resize((new_width, new_height), resample=resample_method) | |
return resized_img | |
def colorize_depth_maps(depth_map, min_depth, max_depth, cmap="Spectral", valid_mask=None): | |
""" | |
Colorize depth maps. | |
""" | |
assert len(depth_map.shape) >= 2, "Invalid dimension" | |
if isinstance(depth_map, torch.Tensor): | |
depth = depth_map.detach().clone().squeeze().numpy() | |
elif isinstance(depth_map, np.ndarray): | |
depth = depth_map.copy().squeeze() | |
# reshape to [ (B,) H, W ] | |
if depth.ndim < 3: | |
depth = depth[np.newaxis, :, :] | |
# colorize | |
cm = matplotlib.colormaps[cmap] | |
depth = ((depth - min_depth) / (max_depth - min_depth)).clip(0, 1) | |
img_colored_np = cm(depth, bytes=False)[:, :, :, 0:3] # value from 0 to 1 | |
img_colored_np = np.rollaxis(img_colored_np, 3, 1) | |
if valid_mask is not None: | |
if isinstance(depth_map, torch.Tensor): | |
valid_mask = valid_mask.detach().numpy() | |
valid_mask = valid_mask.squeeze() # [H, W] or [B, H, W] | |
if valid_mask.ndim < 3: | |
valid_mask = valid_mask[np.newaxis, np.newaxis, :, :] | |
else: | |
valid_mask = valid_mask[:, np.newaxis, :, :] | |
valid_mask = np.repeat(valid_mask, 3, axis=1) | |
img_colored_np[~valid_mask] = 0 | |
if isinstance(depth_map, torch.Tensor): | |
img_colored = torch.from_numpy(img_colored_np).float() | |
elif isinstance(depth_map, np.ndarray): | |
img_colored = img_colored_np | |
return img_colored | |
def chw2hwc(chw): | |
assert 3 == len(chw.shape) | |
if isinstance(chw, torch.Tensor): | |
hwc = torch.permute(chw, (1, 2, 0)) | |
elif isinstance(chw, np.ndarray): | |
hwc = np.moveaxis(chw, 0, -1) | |
return hwc | |
def _find_batch_size(ensemble_size: int, input_res: int, dtype: torch.dtype) -> int: | |
""" | |
Automatically search for suitable operating batch size. | |
Args: | |
ensemble_size (`int`): | |
Number of predictions to be ensembled. | |
input_res (`int`): | |
Operating resolution of the input image. | |
Returns: | |
`int`: Operating batch size. | |
""" | |
# Search table for suggested max. inference batch size | |
bs_search_table = [ | |
# tested on A100-PCIE-80GB | |
{"res": 768, "total_vram": 79, "bs": 35, "dtype": torch.float32}, | |
{"res": 1024, "total_vram": 79, "bs": 20, "dtype": torch.float32}, | |
# tested on A100-PCIE-40GB | |
{"res": 768, "total_vram": 39, "bs": 15, "dtype": torch.float32}, | |
{"res": 1024, "total_vram": 39, "bs": 8, "dtype": torch.float32}, | |
{"res": 768, "total_vram": 39, "bs": 30, "dtype": torch.float16}, | |
{"res": 1024, "total_vram": 39, "bs": 15, "dtype": torch.float16}, | |
# tested on RTX3090, RTX4090 | |
{"res": 512, "total_vram": 23, "bs": 20, "dtype": torch.float32}, | |
{"res": 768, "total_vram": 23, "bs": 7, "dtype": torch.float32}, | |
{"res": 1024, "total_vram": 23, "bs": 3, "dtype": torch.float32}, | |
{"res": 512, "total_vram": 23, "bs": 40, "dtype": torch.float16}, | |
{"res": 768, "total_vram": 23, "bs": 18, "dtype": torch.float16}, | |
{"res": 1024, "total_vram": 23, "bs": 10, "dtype": torch.float16}, | |
# tested on GTX1080Ti | |
{"res": 512, "total_vram": 10, "bs": 5, "dtype": torch.float32}, | |
{"res": 768, "total_vram": 10, "bs": 2, "dtype": torch.float32}, | |
{"res": 512, "total_vram": 10, "bs": 10, "dtype": torch.float16}, | |
{"res": 768, "total_vram": 10, "bs": 5, "dtype": torch.float16}, | |
{"res": 1024, "total_vram": 10, "bs": 3, "dtype": torch.float16}, | |
] | |
if not torch.cuda.is_available(): | |
return 1 | |
total_vram = torch.cuda.mem_get_info()[1] / 1024.0**3 | |
filtered_bs_search_table = [s for s in bs_search_table if s["dtype"] == dtype] | |
for settings in sorted( | |
filtered_bs_search_table, | |
key=lambda k: (k["res"], -k["total_vram"]), | |
): | |
if input_res <= settings["res"] and total_vram >= settings["total_vram"]: | |
bs = settings["bs"] | |
if bs > ensemble_size: | |
bs = ensemble_size | |
elif bs > math.ceil(ensemble_size / 2) and bs < ensemble_size: | |
bs = math.ceil(ensemble_size / 2) | |
return bs | |
return 1 | |
def ensemble_depths( | |
input_images: torch.Tensor, | |
regularizer_strength: float = 0.02, | |
max_iter: int = 2, | |
tol: float = 1e-3, | |
reduction: str = "median", | |
max_res: int = None, | |
): | |
""" | |
To ensemble multiple affine-invariant depth images (up to scale and shift), | |
by aligning estimating the scale and shift | |
""" | |
def inter_distances(tensors: torch.Tensor): | |
""" | |
To calculate the distance between each two depth maps. | |
""" | |
distances = [] | |
for i, j in torch.combinations(torch.arange(tensors.shape[0])): | |
arr1 = tensors[i : i + 1] | |
arr2 = tensors[j : j + 1] | |
distances.append(arr1 - arr2) | |
dist = torch.concatenate(distances, dim=0) | |
return dist | |
device = input_images.device | |
dtype = input_images.dtype | |
np_dtype = np.float32 | |
original_input = input_images.clone() | |
n_img = input_images.shape[0] | |
ori_shape = input_images.shape | |
if max_res is not None: | |
scale_factor = torch.min(max_res / torch.tensor(ori_shape[-2:])) | |
if scale_factor < 1: | |
downscaler = torch.nn.Upsample(scale_factor=scale_factor, mode="nearest") | |
input_images = downscaler(torch.from_numpy(input_images)).numpy() | |
# init guess | |
_min = np.min(input_images.reshape((n_img, -1)).cpu().numpy(), axis=1) | |
_max = np.max(input_images.reshape((n_img, -1)).cpu().numpy(), axis=1) | |
s_init = 1.0 / (_max - _min).reshape((-1, 1, 1)) | |
t_init = (-1 * s_init.flatten() * _min.flatten()).reshape((-1, 1, 1)) | |
x = np.concatenate([s_init, t_init]).reshape(-1).astype(np_dtype) | |
input_images = input_images.to(device) | |
# objective function | |
def closure(x): | |
l = len(x) | |
s = x[: int(l / 2)] | |
t = x[int(l / 2) :] | |
s = torch.from_numpy(s).to(dtype=dtype).to(device) | |
t = torch.from_numpy(t).to(dtype=dtype).to(device) | |
transformed_arrays = input_images * s.view((-1, 1, 1)) + t.view((-1, 1, 1)) | |
dists = inter_distances(transformed_arrays) | |
sqrt_dist = torch.sqrt(torch.mean(dists**2)) | |
if "mean" == reduction: | |
pred = torch.mean(transformed_arrays, dim=0) | |
elif "median" == reduction: | |
pred = torch.median(transformed_arrays, dim=0).values | |
else: | |
raise ValueError | |
near_err = torch.sqrt((0 - torch.min(pred)) ** 2) | |
far_err = torch.sqrt((1 - torch.max(pred)) ** 2) | |
err = sqrt_dist + (near_err + far_err) * regularizer_strength | |
err = err.detach().cpu().numpy().astype(np_dtype) | |
return err | |
res = minimize( | |
closure, | |
x, | |
method="BFGS", | |
tol=tol, | |
options={"maxiter": max_iter, "disp": False}, | |
) | |
x = res.x | |
l = len(x) | |
s = x[: int(l / 2)] | |
t = x[int(l / 2) :] | |
# Prediction | |
s = torch.from_numpy(s).to(dtype=dtype).to(device) | |
t = torch.from_numpy(t).to(dtype=dtype).to(device) | |
transformed_arrays = original_input * s.view(-1, 1, 1) + t.view(-1, 1, 1) | |
if "mean" == reduction: | |
aligned_images = torch.mean(transformed_arrays, dim=0) | |
std = torch.std(transformed_arrays, dim=0) | |
uncertainty = std | |
elif "median" == reduction: | |
aligned_images = torch.median(transformed_arrays, dim=0).values | |
# MAD (median absolute deviation) as uncertainty indicator | |
abs_dev = torch.abs(transformed_arrays - aligned_images) | |
mad = torch.median(abs_dev, dim=0).values | |
uncertainty = mad | |
else: | |
raise ValueError(f"Unknown reduction method: {reduction}") | |
# Scale and shift to [0, 1] | |
_min = torch.min(aligned_images) | |
_max = torch.max(aligned_images) | |
aligned_images = (aligned_images - _min) / (_max - _min) | |
uncertainty /= _max - _min | |
return aligned_images, uncertainty | |