Derivative of this bicubic interpolation kernel

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luc

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Hello everyone,

I am using the bicubic kernel described here ( Bicubic interpolation - Wikipedia, the free encyclopedia ) to interpolate my image after applying some transformations.

I an using the matrix kernel described here with a = -0.5.

Now, what I also need to do is estimate the kernel that is the derivative of this bicubic kernel. There is a bit of discussion in this page on the derivative but I am finding it impossible to be able to derive this kernel.

I would be really grateful if someone can help me derive this derivative kernel. My calculus skills are quite rusty but this is a roadblock for me for quite a few days now. I have also searched high and low on the internet for this derivative kernel but to no avail.

I look forward to any assistance you can give me.

Luc
 
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