## How to calculate PSNR of compressed images, and how to compare PSNR of images compressed by two different techniques.

### akanksha sharma (view profile)

on 4 Oct 2012
Latest activity Edited by Mr. BOUREZG

### Mr. BOUREZG (view profile)

on 20 Feb 2015

I have to compare image compression techniques like VQ, JPEG, WAVELET, and fractal. For this, the parameter to be compared is PSNR. Please tell me how I can calculate PSNR OF AN IMAGE which is COMPRESSED by different compression techniques. plz explain with example.

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### Image Analyst (view profile)

on 4 Oct 2012
Edited by Image Analyst

### Image Analyst (view profile)

on 4 Oct 2012

See my demo:

```% Demo to calculate PSNR of a gray scale image.
% http://en.wikipedia.org/wiki/PSNR
% Clean up.
close all;
clear all;
workspace;
```
```%------ GET DEMO IMAGES ----------------------------------------------------------
% Read in a standard MATLAB gray scale demo image.
[rows columns] = size(grayImage);
```
```% Display the first image.
subplot(2, 2, 1);
imshow(grayImage, []);
title('Original Gray Scale Image');
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');
```
```%------ 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');
% 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);
message = sprintf('The mean square error is %.2f.\nThe PSNR = %.2f', mse, PSNR);
msgbox(message);
```

Image Analyst

### Image Analyst (view profile)

on 12 Oct 2013

Karbala'a Unvi. Science

### Karbala'a Unvi. Science (view profile)

on 20 Feb 2015

Dear Sir, It was a great code that you did here and it did helped me a lot in my project... It is the one that I was looking for Yours Z

Mr. BOUREZG

### Mr. BOUREZG (view profile)

on 20 Feb 2015

Image Analyst have do all thing, nothing to say it after this answer, thank you sir for this code.

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