[cv]Fourier-transform

Basis Sets

[cv]Fourier-transform

生成向量空间V的最小基向量集合。

[cv]Fourier-transform

[cv]Fourier-transform

image can be regarded as an 1D vector.

[cv]Fourier-transform

[cv]Fourier-transform

sin signal

Asin(wx+ψ)
三个*度, A,w,ψ.

time and frequency

[cv]Fourier-transform

[cv]Fourier-transform

fourier transform

[cv]Fourier-transform

[cv]Fourier-transform

实际上,频率不同的sin函数是正交的。

[cv]Fourier-transform

只有相位为 π/2 时,结果才为0.

[cv]Fourier-transform

[cv]Fourier-transform

[cv]Fourier-transform

Inverse Fourier Transformation

[cv]Fourier-transform

[cv]Fourier-transform

limitation of Fourier Transformation

[cv]Fourier-transform

DFT discrete Fourier Transformation

[cv]Fourier-transform

[cv]Fourier-transform

linearity of sum

[cv]Fourier-transform

reconstruct

[cv]Fourier-transform

自然图像在频域是十分相似的,如lena和猴子。