# Highest frequency component in 2D Fourier transform

I was trying to understand the 2d dft(discrete Fourier transform) and discrete spatial Fourier transform (dsft) of images.

But while understanding the graph i didn't understand that how come ($$\pi,\pi$$) is high frequency component and not ($$2\pi,2\pi$$) is the highest frequency component.

Note that the terms $$e^{j\omega_in_i}$$ in the formula of the Fourier transform are $$2\pi$$-periodic. Consequently, the Fourier transform $$H(\omega_1,\omega_2)$$ is also periodic in both dimensions with period $$2\pi$$. If we choose $$\omega=0$$ as the center of our fundamental interval (as shown in the figure), the fundamental interval extends from $$-\pi$$ to $$\pi$$. The frequency $$\omega=\pi$$ is referred to as the Nyquist frequency, and it corresponds to the maximum possible frequency of a discrete signal.