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noises.py
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"""Features for introducing noise to images.
This module provides classes to add various types of noise to images,
including constant offsets, Gaussian noise, and Poisson-distributed noise.
Module Structure
----------------
Classes:
- `Noise`: Abstract base class for noise models.
- `Background` / `Offset`: Adds a constant value to an image.
- `Gaussian`: Adds IID Gaussian noise.
- `ComplexGaussian`: Adds complex-valued Gaussian noise.
- `Poisson`: Adds Poisson-distributed noise based on signal-to-noise ratio.
Example
-------
Add Gaussian noise to an image:
>>> import numpy as np
>>> image = np.ones((100, 100))
>>> gaussian_noise = noises.Gaussian(mu=0, sigma=0.1)
>>> noisy_image = gaussian_noise.resolve(image)
Add Poisson noise with a specified signal-to-noise ratio:
>>> poisson_noise = noises.Poisson(snr=0.5)
>>> noisy_image = poisson_noise.resolve(image)
"""
#TODO ***??*** revise class docstring
#TODO ***??*** revise DTAT327
from __future__ import annotations
from typing import Any, TYPE_CHECKING
import numpy as np
from numpy.typing import NDArray
from deeptrack import Feature, Image, PropertyLike, TORCH_AVAILABLE
if TORCH_AVAILABLE:
import torch
__all__ = [
"Noise",
"Background",
"Offset",
"Gaussian",
"ComplexGaussian",
"Poisson",
]
if TYPE_CHECKING:
import torch
class Noise(Feature):
"""Base abstract noise class."""
class Background(Noise):
"""Add a constant value to an image.
Parameters
----------
offset: float
The value to add to the image.
**kwargs: Any
Additional keyword arguments passed to the parent `Noise` class.
Methods
-------
get(
image: np.ndarray, torch.Tensor, or Image,
offset: float,
**kwargs,
) -> np.ndarray, torch.Tensor, or Image
Adds the constant offset to the input image.
Examples
--------
>>> import deeptrack as dt
Create an input image with zeros:
>>> import numpy as np
>>>
>>> input_image = np.zeros((2,2))
Define the Background noise feature with offset 0.5:
>>> noise = dt.Background(offset=0.5)
Apply the noise to the input image and print the resulting image:
>>> output_image = noise.resolve(input_image)
>>> print(output_image)
[[0.5 0.5]
[0.5 0.5]]
"""
def __init__(
self: Background,
offset: PropertyLike[float],
**kwargs: Any,
):
"""Initialize the Background noise feature.
Parameters
----------
offset: PropertyLike[float]
The constant value to be added to the image.
**kwargs: Any
Additional arguments passed to the parent `Noise` class.
"""
super().__init__(offset=offset, **kwargs)
def get(
self: Background,
image: NDArray[Any] | torch.Tensor | Image,
offset: float,
**kwargs: Any,
) -> NDArray[Any] | torch.Tensor | Image:
"""Add the given offset to the image.
Parameters
----------
image: np.ndarray, torch.Tensor, or Image
The input image.
offset: float
The value to add to the image.
Returns
-------
np.ndarray, torch.Tensor, or Image
The image with offset added.
"""
return image + offset
Offset = Background
class Gaussian(Noise):
"""Add IID Gaussian noise to an image.
Gaussian noise is sampled from a Gaussian distribution and added pixel-wise
to the input image.
Parameters
----------
mu: float
The mean of the Gaussian distribution.
sigma: float
The standard deviation of the Gaussian distribution.
Notes
-----
If the backend is NumPy, the calculations use NumPy-compatible functions,
and the output will be a np.array. If the backend is PyTorch, the
calculations use PyTorch-compatible functions, and the output will be a
torch.Tensor.
Methods
-------
get(
image: np.ndarray, torch.Tensor, or Image,
snr: float,
background: float,
max_val: float, optional,
**kwargs,
) -> np.ndarray, torch.Tensor, or Image
Returns an image with Gaussian noise added.
Examples
--------
Add Gaussian noise to an image.
>>> import deeptrack as dt
Create an input image with constant values:
>>> import numpy as np
>>>
>>> input_image = np.ones((2,2)) * 3
Define the Gaussian noise feature with mean 1 and standard deviation 0.1:
>>> noise = dt.Gaussian(mu=1, sigma=0.1)
Apply the noise to the input image and print the resulting image:
>>> output_image = noise.resolve(input_image)
>>> print(output_image)
[[4.01965863 4.20688642]
[4.02184982 3.87875873]]
"""
def __init__(
self: Gaussian,
mu: PropertyLike[float] = 0,
sigma: PropertyLike[float] = 1,
**kwargs: Any,
):
super().__init__(mu=mu, sigma=sigma, **kwargs)
def get(
self: Gaussian,
image: NDArray[Any] | torch.Tensor | Image,
mu: float,
sigma: float,
**kwargs: Any,
) -> NDArray[Any] | torch.Tensor | Image:
# For a Numpy backend.
if self.get_backend() == "numpy":
noisy_image = mu + image + np.random.randn(*image.shape) * sigma
# For a Torch backend.
elif self.get_backend() == "torch":
noisy_image = (
mu
+ image
+ torch.randn(*image.shape, device=image.device) * sigma
)
return noisy_image
class ComplexGaussian(Noise):
"""Add complex-valued IID Gaussian noise to an image.
Complex Gaussian noise is sampled by combining two independent Gaussian
distributions for real and imaginary values and is then added pixel-wise
to the input image.
Parameters
----------
mu: float
The mean of the Gaussian distribution.
sigma: float
The standard deviation of the Gaussian distribution.
Notes
-----
If the backend is NumPy, the calculations use NumPy-compatible functions,
and the output will be a np.array. If the backend is PyTorch, the
calculations use PyTorch-compatible functions, and the output will be a
torch.Tensor.
Methods
-------
get(
image: np.ndarray, torch.Tensor, or Image,
snr: float,
background: float,
max_val: float, optional,
**kwargs,
) -> np.ndarray, torch.Tensor, or Image
Returns an image with complex Gaussian noise added.
Examples
--------
Add complex Gaussian noise to an image.
>>> import deeptrack as dt
Create an input image with constant values:
>>> import numpy as np
>>>
>>> input_image = np.ones((2,2)) * 3
Define the Gaussian noise feature with mean 1 and standard deviation 0.1:
>>> noise = dt.ComplexGaussian(mu=1, sigma=0.1)
Apply the noise to the input image and print the resulting image:
>>> output_image = noise.resolve(input_image)
>>> print(output_image)
[[3.79975648-0.06967551j 4.09943404+0.06499738j]
[3.99886747-0.23549974j 4.15725117-0.07847024j]]
"""
def __init__(
self: ComplexGaussian,
mu: PropertyLike[float] = 0,
sigma: PropertyLike[float] = 1,
**kwargs: Any,
):
super().__init__(mu=mu, sigma=sigma, **kwargs)
def get(
self: ComplexGaussian,
image: NDArray[Any] | torch.Tensor | Image,
mu: float,
sigma: float,
**kwargs: Any,
) -> NDArray[Any] | torch.Tensor | Image:
# For a Numpy backend.
if self.get_backend() == "numpy":
real_noise = np.random.randn(*image.shape)
imag_noise = np.random.randn(*image.shape) * 1j
noisy_image = mu + image + (real_noise + imag_noise) * sigma
# For a Torch backend.
elif self.get_backend() == "torch":
real_noise = torch.randn(*image.shape, device=image.device)
imag_noise = torch.randn(*image.shape, device=image.device) * 1j
noisy_image = mu + image + (real_noise + imag_noise) * sigma
return noisy_image
class Poisson(Noise):
"""Add Poisson-distributed noise to an image.
Poisson noise is sampled and added pixel-wise depending on the
intensity of the pixel in the original image to achieve a desired
signal-to-noise ratio `snr`.
Parameters
----------
snr: float
Signal-to-noise ratio of the final image. The signal is determined
by the peak value of the image.
background: float
Value to be be used as the background. This is used to calculate the
signal of the image.
max_val: float, optional
Maximum allowable value to prevent overflow in noise computation.
Default is 1e8.
Notes
-----
If the backend is NumPy, the calculations use NumPy-compatible functions,
and the output will be a np.array. If the backend is PyTorch, the
calculations use PyTorch-compatible functions, and the output will be a
torch.Tensor.
Methods
-------
get(
image: np.ndarray, torch.Tensor, or Image,
snr: float,
background: float,
max_val: float, optional,
**kwargs,
) -> np.ndarray, torch.Tensor, or Image
Returns an image with Poisson noise added.
Examples
--------
Add Poisson noise to an image.
>>> import deeptrack as dt
Create an input image with ones:
>>> import numpy as np
>>>
>>> input_image = np.ones((2,2))
Define the Poisson noise feature with a low SNR:
>>> noise = dt.Poisson(snr=1)
Apply the noise to the input image and print the resulting image:
>>> output_image = noise.resolve(input_image)
>>> print(output_image)
[[2. 1.]
[0. 4.]]
"""
def __init__(
self: Poisson,
*args: Any,
snr: PropertyLike[float] = 100,
background: PropertyLike[float] = 0,
max_val: PropertyLike[float] = 1e8,
**kwargs,
):
super().__init__(
*args,
snr=snr,
background=background,
max_val=max_val,
**kwargs,
)
def get(
self: Poisson,
image: NDArray[Any] | torch.Tensor | Image,
snr: float,
background: float,
max_val: float,
**kwargs: Any,
) -> NDArray[Any] | torch.Tensor | Image:
# For a numpy backend.
if self.get_backend() == "numpy":
image[image < 0] = 0
image_max = np.max(image)
peak = np.abs(image_max - background)
rescale = snr ** 2 / peak ** 2
rescale = np.clip(
rescale, 1e-10, max_val / np.abs(image_max)
)
try:
noisy_image = Image(
np.random.poisson(image * rescale) / rescale
)
noisy_image.merge_properties_from(image)
return noisy_image
except ValueError:
raise ValueError(
"NumPy poisson function errored due to too large value. "
"Set max_val in dt.Poisson to a lower value to fix."
)
# For a Torch backend.
elif self.get_backend() == "torch":
image = torch.clamp(image, min=0)
image_max = torch.max(image)
peak = torch.abs(image_max - background)
rescale = snr ** 2 / peak ** 2
rescale = torch.clamp(
rescale, min=1e-10, max=max_val / torch.abs(image_max)
)
try:
noisy_image = torch.poisson(image * rescale) / rescale
return noisy_image
except ValueError:
raise ValueError(
"Torch Poisson function errored due to too large value. "
"Set max_val in dt.Poisson to a lower value to fix."
)