Creating 2D sinusoid image with spatial frequency

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Hello, I am confused as to how I should create the following type of image in MATLAB.
"Consider ? x ? grey level images that are raised 2D sinusoids of some spatial frequency ? cycles per ? pixels where ?=256.
?(?,?)= 1/2(1+sin (2?/? ? ?))."
We have to convolve the above image using gaussian filtering.

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KSSV
KSSV 2020-1-30
k = 3. ;
N = 256 ;
x = 1:N ;
y = 1:N ;
[X,Y] = meshgrid(x,y) ;
I = 1/2*(1+sin(2*pi/N*k*X)) ;

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