Tag Archives: Peak Signal-to-Noise Ratio

Peak Signal-to-Noise Ratio (PSNR) in Image using OpenCV and Matlab

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Peak signal-to-noise ratio (PSNR) shows the ratio between the maximum possible power of a signal and the power of the same image with noise. PSNR is usually expressed in logarithmic decibel scale.

\( MSE =1/m*n \sum_{i=0}^{m-1} \sum_{j=0}^{n-1}  [   Image( i,j)  -NoisyImage( i,j)  ]  ^2   \)
\( PSNR =10* \log_{10} \Bigg(MAXI^2/MSE\Bigg)  \)

MSE is Mean Square Error and MAXI is the maximum possible pixel value of the image. For instance if the image is uint8, it will be 255.

 

Ref [1],[2], [3], 4