John
John

Reputation: 3070

What is purpose of correlation kernel? IIs it high pass filter or low pass filter?

I am research about correlation kernel and I have some questions that need your help. Let see the pp. 3302-3303 in the http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6517250&tag=1 The special kernel is defined that enter image description here where $\gamma$ is a normalizing weight obtained by enter image description here

and $\omega$ is Gaussian kernel

I implement it with support from Mr. Rayryeng. This is comparison of gaussian filter (right side)and correlation filter(left side). The gaussian looks like the low pass filter, whereas correlation kernel is as high pass filter. Could you help me explain the purpose of correlation kernel comparison with gaussian kernel? Which is beneifit? What kind of image to apply correlation kernel. Thank you

enter image description here

Upvotes: 1

Views: 1055

Answers (1)

gosnold
gosnold

Reputation: 181

Your implementation of the correlation filter looks off, it should tend to 0 for |x-y|->infinity and be decreasing in |x-y|.

Edit: according to wolfram alpha, with 2w^2=1 and setting gamma to 1 it looks like this:

enter image description here

It has the shape of a directional low-pass filter

Upvotes: 1

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