Linear Spatial Filtering , How to create the filter?

How can we create the filters? If you can, please provide the code.

h(x,y)=(1/(2*pi*σ*σ))*exp(-(x*x+y*y)/(2*σ*σ))

Here x ,y=5, σ=1

Answer 1

[Honglei Chen]

I assume you want a 5x5 Gaussian filter? Otherwise, if you set the above equation with x,y=5 and sigma = 1, it's just a number, not a filter.

If you do want a 5x5 Gaussian filter, you can look at fspecial if you have access to Image Processing Toolbox. You can get it by doing

h = 1/(2*pi)*fspecial('gauss',5,1)

If you want to write it yourself, you just need to follow the algorithm listed in the doc

http://www.mathworks.com/help/images/ref/fspecial.html