Implement using Matlab 2D function that is a sum of two 2D sinusoids:

g(x, y)= a₁ g₁(x,y) + a₂ g₂(x,y)

where g₁= ? sin(2?[u₁x+v₁y] + ?₁), g₂= ? sin(2?[u₂x+v₂y] + ?₂),

e.g.:

and where g₂ represents a higher set of frequencies (u₂,v₂) than those of g_1, (u₁,v₁).

Show that you can use low-pass Fourier-domain filtering to attenuate the higher frequency component g₂, based on the Matlab code of Fourier analysis.