Friday, 3 April 2015

Correlation vs. Convolution

Lets discuss some concepts related to correlation and convolution.
Correlation is a metric for similarity between two different signals, in our case two images.
Convolution is correlation with the filter rotated 180 degress.
This makes no difference, if the filter is like a Guassian.
Convolution is associative while correlation is not.
Convolution is multiplication in the frequency domain while, Correlation is the multiplication of the complex conjugate in the frequency domain.

Let's look at some implementation of convolution:



Let's get on to to correlation:
 

 



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