Impulse, gaussian and salt and pepper noise with OpenCV - image-processing

Question

I'm studying Image Processing on the famous Gonzales "Digital Image Processing" and talking about image restoration a lot of examples are done with computer-generated noise (gaussian, salt and pepper, etc). In MATLAB there are some built-in functions to do it. What about OpenCV?

Answer 1

As far as I know there are no convenient built in functions like in Matlab. But with only a few lines of code you can create those images yourself.
For example additive gaussian noise:
Mat gaussian_noise = img.clone();
randn(gaussian_noise,128,30);
Salt and pepper noise:
Mat saltpepper_noise = Mat::zeros(img.rows, img.cols,CV_8U);
randu(saltpepper_noise,0,255);
Mat black = saltpepper_noise < 30;
Mat white = saltpepper_noise > 225;
Mat saltpepper_img = img.clone();
saltpepper_img.setTo(255,white);
saltpepper_img.setTo(0,black);

Answer 2

There is function random_noise() from the scikit-image package. It has several builtin noise patterns, such as gaussian, s&p (for salt and pepper noise), possion and speckle.
Below I show an example of how to use this method
from PIL import Image
import numpy as np
from skimage.util import random_noise
im = Image.open("test.jpg")
# convert PIL Image to ndarray
im_arr = np.asarray(im)
# random_noise() method will convert image in [0, 255] to [0, 1.0],
# inherently it use np.random.normal() to create normal distribution
# and adds the generated noised back to image
noise_img = random_noise(im_arr, mode='gaussian', var=0.05**2)
noise_img = (255*noise_img).astype(np.uint8)
img = Image.fromarray(noise_img)
img.show()
There is also a package called imgaug which are dedicated to augment images in various ways. It provides gaussian, poissan and salt&pepper noise augmenter. Here is how you can use it to add noise to image:
from PIL import Image
import numpy as np
from imgaug import augmenters as iaa
def main():
im = Image.open("bg_img.jpg")
im_arr = np.asarray(im)
# gaussian noise
# aug = iaa.AdditiveGaussianNoise(loc=0, scale=0.1*255)
# poisson noise
# aug = iaa.AdditivePoissonNoise(lam=10.0, per_channel=True)
# salt and pepper noise
aug = iaa.SaltAndPepper(p=0.05)
im_arr = aug.augment_image(im_arr)
im = Image.fromarray(im_arr).convert('RGB')
im.show()
if __name__ == "__main__":
main()

Answer 3

Simple Function to add Gaussian, Salt-pepper speckle and poisson noise to an image
Parameters
----------
image : ndarray
Input image data. Will be converted to float.
mode : str
One of the following strings, selecting the type of noise to add:
'gauss' Gaussian-distributed additive noise.
'poisson' Poisson-distributed noise generated from the data.
's&p' Replaces random pixels with 0 or 1.
'speckle' Multiplicative noise using out = image + n*image,where
n,is uniform noise with specified mean & variance.
import numpy as np
import os
import cv2
def noisy(noise_typ,image):
if noise_typ == "gauss":
row,col,ch= image.shape
mean = 0
#var = 0.1
#sigma = var**0.5
gauss = np.random.normal(mean,1,(row,col,ch))
gauss = gauss.reshape(row,col,ch)
noisy = image + gauss
return noisy
elif noise_typ == "s&p":
row,col,ch = image.shape
s_vs_p = 0.5
amount = 0.004
out = image
# Salt mode
num_salt = np.ceil(amount * image.size * s_vs_p)
coords = [np.random.randint(0, i - 1, int(num_salt))
for i in image.shape]
out[coords] = 1
# Pepper mode
num_pepper = np.ceil(amount* image.size * (1. - s_vs_p))
coords = [np.random.randint(0, i - 1, int(num_pepper))
for i in image.shape]
out[coords] = 0
return out
elif noise_typ == "poisson":
vals = len(np.unique(image))
vals = 2 ** np.ceil(np.log2(vals))
noisy = np.random.poisson(image * vals) / float(vals)
return noisy
elif noise_typ =="speckle":
row,col,ch = image.shape
gauss = np.random.randn(row,col,ch)
gauss = gauss.reshape(row,col,ch)
noisy = image + image * gauss
return noisy

Answer 4

"Salt & Pepper" noise can be added in a quite simple fashion using NumPy matrix operations.
def add_salt_and_pepper(gb, prob):
'''Adds "Salt & Pepper" noise to an image.
gb: should be one-channel image with pixels in [0, 1] range
prob: probability (threshold) that controls level of noise'''
rnd = np.random.rand(gb.shape[0], gb.shape[1])
noisy = gb.copy()
noisy[rnd < prob] = 0
noisy[rnd > 1 - prob] = 1
return noisy

Answer 5

# Adding noise to the image
import cv2
import numpy as np
import matplotlib.pyplot as plt
%matplotlib inline
img = cv2.imread('./fruit.png',0)
im = np.zeros(img.shape, np.uint8) # do not use original image it overwrites the image
mean = 0
sigma = 10
cv2.randn(im,mean,sigma) # create the random distribution
Fruit_Noise = cv2.add(img, im) # add the noise to the original image
plt.imshow(Fruit_Noise, cmap='gray')
The values of mean and sigma can be altered to bring about a specific change in noise like gaussian or pepper-salt noise etc.
You can use either randn or randu according to the need. Have a look at the documentation: https://docs.opencv.org/2.4/modules/core/doc/operations_on_arrays.html#cv2.randu

Answer 6

I made some change of #Shubham Pachori 's code. When reading a image into numpy arrary, the default dtype is uint8, which can cause wrapping when adding noise onto the image.
import numpy as np
from PIL import Image
"""
image: read through PIL.Image.open('path')
sigma: variance of gaussian noise
factor: the bigger this value is, the more noisy is the poisson_noised image
##IMPORTANT: when reading a image into numpy arrary, the default dtype is uint8,
which can cause wrapping when adding noise onto the image.
E.g, example = np.array([128,240,255], dtype='uint8')
example + 50 = np.array([178,44,49], dtype='uint8')
Transfer np.array to dtype='int16' can solve this problem.
"""
def gaussian_noise(image, sigma):
img = np.array(image)
noise = np.random.randn(img.shape[0], img.shape[1], img.shape[2])
img = img.astype('int16')
img_noise = img + noise * sigma
img_noise = np.clip(img_noise, 0, 255)
img_noise = img_noise.astype('uint8')
return Image.fromarray(img_noise)
def poisson_noise(image, factor):
factor = 1 / factor
img = np.array(image)
img = img.astype('int16')
img_noise = np.random.poisson(img * factor) / float(factor)
np.clip(img_noise, 0, 255, img_noise)
img_noise = img_noise.astype('uint8')
return Image.fromarray(img_noise)

Answer 7

http://scikit-image.org/docs/dev/api/skimage.util.html#skimage.util.random_noise
skimage.util.random_noise(image, mode='gaussian', seed=None, clip=True, **kwargs)

Answer 8

#Adding noise
[m,n]=img.shape
saltpepper_noise=zeros((m, n));
saltpepper_noise=rand(m,n); #creates a uniform random variable from 0 to 1
for i in range(0,m):
for j in range(0,n):
if saltpepper_noise[i,j]<=0.5:
saltpepper_noise[i,j]=0
else:
saltpepper_noise[i,j]=255

Answer 9

def add_salt_noise(src, ratio: float = 0.05, noise: list = [0, 0, 0]):
dst = src.copy()
import random
shuffle_dict = {}
i = 0
while i < (int(dst.shape[0]*dst.shape[1] * ratio)):
x, y = random.randint(0, dst.shape[0] - 1), random.randint(0, dst.shape[1] - 1)
if (x, y) in shuffle_dict:
continue
else:
dst[x, y] = noise
shuffle_dict[(x, y)] = 0
i += 1
return dst

Answer 10

although there is no built-in functions like in matlab
imnoise(image,noiseType,NoiseLevel) but we can easily add required amount random
valued impulse noise or salt and pepper into an image manually.
to add random valued impulse noise.
import random as r
def addRvinGray(image,n): # add random valued impulse noise in grayscale
'''parameters:
image: type=numpy array. input image in which you want add noise.
n: noise level (in percentage)'''
k=0 # counter variable
ih=image.shape[0]
iw=image.shape[1]
noisypixels=(ih*iw*n)/100 # here we calculate the number of pixels to be altered.
for i in range(ih*iw):
if k<noisypixels:
image[r.randrange(0,ih)][r.randrange(0,iw)]=r.randrange(0,256) #access random pixel in the image gives random intensity (0-255)
k+=1
else:
break
return image
to add salt and pepper noise
def addSaltGray(image,n): #add salt-&-pepper noise in grayscale image
k=0
salt=True
ih=image.shape[0]
iw=image.shape[1]
noisypixels=(ih*iw*n)/100
for i in range(ih*iw):
if k<noisypixels: #keep track of noise level
if salt==True:
image[r.randrange(0,ih)][r.randrange(0,iw)]=255
salt=False
else:
image[r.randrange(0,ih)][r.randrange(0,iw)]=0
salt=True
k+=1
else:
break
return image
Note: for color images: first split image in to three or four channels depending on the input image using opencv function:
(B, G, R) = cv2.split(image)
(B, G, R, A) = cv2.split(image)
after spliting perform the same operations on all channels.
at the end merge all the channels:
merged = cv2.merge([B, G, R])
return merged