Asked by Soum
on 3 Jul 2013

I De-noise some images and I want to evaluate them so I calculate SNR but I want to use another like Mean Square Error (MSE) I saw some people use it but I don't know what is express in my case I have a noisy image like input and De-noised one in the out put Or maybe PSNR please help me

Answer by Image Analyst
on 3 Jul 2013

Accepted Answer

See my demo:

% Demo to calculate PSNR of a gray scale image.

% http://en.wikipedia.org/wiki/PSNR

% Clean up.

clc; % Clear the command window.

close all; % Close all figures (except those of imtool.)

clear; % Erase all existing variables. Or clearvars if you want.

workspace; % Make sure the workspace panel is showing.

format long g;

format compact;

fontSize = 20;

%------ GET DEMO IMAGES ----------------------------------------------------------

% Read in a standard MATLAB gray scale demo image.

grayImage = imread('cameraman.tif');

[rows columns] = size(grayImage);

% Display the first image.

subplot(2, 2, 1);

imshow(grayImage, []);

title('Original Gray Scale Image', 'FontSize', fontSize);

set(gcf, 'Position', get(0,'Screensize')); % Maximize figure.

% Get a second image by adding noise to the first image.

noisyImage = imnoise(grayImage, 'gaussian', 0, 0.003);

% Display the second image.

subplot(2, 2, 2);

imshow(noisyImage, []);

title('Noisy Image', 'FontSize', fontSize);

%------ PSNR CALCULATION ----------------------------------------------------------

% Now we have our two images and we can calculate the PSNR.

% First, calculate the "square error" image.

% Make sure they're cast to floating point so that we can get negative differences.

% Otherwise two uint8's that should subtract to give a negative number

% would get clipped to zero and not be negative.

squaredErrorImage = (double(grayImage) - double(noisyImage)) .^ 2;

% Display the squared error image.

subplot(2, 2, 3);

imshow(squaredErrorImage, []);

title('Squared Error Image', 'FontSize', fontSize);

% Sum the Squared Image and divide by the number of elements

% to get the Mean Squared Error. It will be a scalar (a single number).

mse = sum(sum(squaredErrorImage)) / (rows * columns);

% Calculate PSNR (Peak Signal to Noise Ratio) from the MSE according to the formula.

PSNR = 10 * log10( 256^2 / mse);

% Alert user of the answer.

message = sprintf('The mean square error is %.2f.\nThe PSNR = %.2f', mse, PSNR);

msgbox(message);

Image Analyst
on 18 Jan 2014

Somehow your cameraman.tif must have turned into a color image. The version of it that ships with MATLAB is definitely a grayscale image. What does this say:

[rows, columns, numberOfColorChannels] = size(grayImage)

It should say 256, 256, 1. If the third number is 3 then either you changed my demo to use a color image (most likely) or else somehow your cameraman.tif image is not the original one.

Rasheed Khankan
on 14 Mar 2016

I think that the maximum value is 255 not 256.

JDC
on 2 Oct 2017

That may well be. But he's referring to the dimensions of the image, not the pixel value.

Sign in to comment.

Answer by ashkan abbasi
on 11 Apr 2014

% MSE & PSNR for a grayscale image (cameraman.tif) & its filtered

% version

clear

clc

im=imread('cameraman.tif');

im=im2double(im);

h1=1/9*ones(3,3);

imf1=imfilter(im,h1,'replicate');

h2=1/25*ones(5,5);

imf2=imfilter(im,h2,'replicate');

%

MSE1=mean(mean((im-imf1).^2));

MSE2=mean(mean((im-imf2).^2));

MaxI=1;% the maximum possible pixel value of the images.

PSNR1=10*log10((MaxI^2)/MSE1);

PSNR2=10*log10((MaxI^2)/MSE2);

Rasheed Khankan
on 14 Mar 2016

Great, concise, and operative code... Thanks a lot.

no ur
on 30 Dec 2018 at 14:12

PSNR and MSE according to bitrate????

Image Analyst
on 30 Dec 2018 at 15:21

Sign in to comment.

Answer by jensi asir
on 18 Jan 2014

Image Analyst
on 18 Jan 2014

You probably changed my demo to use a color image of your own.

Sign in to comment.

Answer by iza
on 20 Jan 2015

Can anyone check mine? Is it correct?...

%Load single MRI image I = imread('IM_00042.tif');

% addition of graininess (i.e. noise) I_noise = imnoise(I, 'gaussian', 0.09);

% the average of 3^2, or 9 values(filters the multidimensional array A with the multidimensional filter h) h = ones(3,3) / 3^2; I2 = imfilter(I_noise,h);

% Measure signal-to-noise ratio img=I; img=double(img(:)); ima=max(img(:)); imi=min(img(:)); mse=std(img(:)); snr=20*log10((ima-imi)./mse)

% Measure Peak SNR [peaksnr, snr] = psnr(I_noise, I); fprintf('\n The Peak-SNR value is %0.4f', peaksnr); fprintf('\n The SNR value is %0.4f \n', snr); fprintf('\n The MSE value is %0.4f \n', mse);

%Plot original & filtered figure

subplot(1,2,1), imshow(I_noise), title('Original image')

subplot(1,2,2), imshow(I2), title('Filtered image')

text(size(I,2),size(I,1)+15, ...

'Gaussian = 0.09', ...

'FontSize',10,'HorizontalAlignment','right');

Sign in to comment.

Answer by Desmond Michael
on 10 Feb 2016

Image Analyst
on 10 Feb 2016

Shaveta Arora
on 13 Feb 2016

Why is my Matlab is displaying

immse not found

and also psnr() is not there. Which versions support these built in functions?

Image Analyst
on 13 Feb 2016

Sign in to comment.

Opportunities for recent engineering grads.

Apply Today
## 1 Comment

## Kithma Gamage (view profile)

Direct link to this comment:https://www.mathworks.com/matlabcentral/answers/81048-mse-mean-square-error#comment_555870

Sign in to comment.