A7 - Properties of the 2D Fourier Transform

Familiarization with FT of different 2D patterns

Square

FT of square

Annulus

FT of annulusSquare annulus
FT of square annulus

Two slits along x-axis symmetric about the center (spanning the whole y-axis)

FT of Two slits along x-axis symmetric about the center (spanning the whole y-axis)Two dots along x-axis symmetric about the center
FT of Two dots along x-axis symmetric about the center
Sinusoid of frequency 4
FT of sinusoid of frequency 4
Sinusoid of frequency 12
FT of Sinusoid of frequency 12
Sinusoid of frequency 16
FT of Sinusoid of frequency 16
Sinusoid of frequency 20 with bias of 3
FT of Sinusoid of frequency 20 with bias of 3
Sinusoid of frequency 20 with bias of 5
FT of Sinusoid of frequency 20 with bias of 5
Sinusoid rotated 30 degrees
FT of Sinusoid rotated 30 degrees
Sinusoid rotated 45 degrees
FT of Sinusoid rotated 45 degrees
a product of two corrugated roofs, one running in the X-direction, the other in Y.

z = sin(2*%pi*4*X).*sin(2*%pi*4*Y);

FT of two corrugated roofs

a product of two corrugated roofs, one running in the X-direction, the other in Y with rotation.

z = sin(2*%pi*4*X*sin(30)).*sin(2*%pi*4*Y*cos(45));

FT

score: 8/10. late posting