Fourier Transform 2D - miroslav-hekrdla/plasmonic-microscopy GitHub Wiki

Fourier Transform 2D

MH, v1.0, 2021_03_23

Definition

S(f_x,f_y) = \int_{-\infty}^{\infty}\int_{-\infty}^{\infty}s(x,y),\mathrm{e}^{-\mathrm{j}2\pi(f_x x+f_y y)}dxdy

\mathrm{circ}(x,y)= \begin{cases}1, & \sqrt{x^2+y^2} \leq 1\ 0, & \mathrm{otherwise} \end{cases}