How to design a two dimensional matched filter kernel?

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The designed kernel should have values of sigma=1.5 and length=9.
In the reference paper matched filter kernel is expressed as
f(x,y)=-exp(-(x^2)/2*(sigma)^2) for y<=L/2.
A set of twelve 15x15 pixel kernels with 15 degree resolution has to be generated.
Please help me with an answer.

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