Fourier Transform
[Fourier Series](https://texonom.com/fourier-series-034521e2dae346b8bf6b9095a602c9a7) [Euler's Formula](https://texonom.com/eulers-formula-71f5337221904ba5b26e1398af5de0ab) 


We can get element of specific frequency using Dot product of Fourier Transform
![](https://www.notion.so/image/https%3A%2F%2Fs3-us-west-2.amazonaws.com%2Fsecure.notion-static.com%2F58654c47-5007-4e16-900e-bff34cc21ae0%2FUntitled.png?table=block&id=50d44b6b-1deb-449e-ab88-b18a0fd89ad5&cache=v2)
k is scaling parameter
if there 
$$F\{g\ast h \} = F\{g\}F\{h\}$$
$$F^{-1}\{gh\} = F^{-1}\{g\} \ast F^{-1}\{h\}$$
### Fourier Transform Notion
|Title|
|:-:|
|[DFT](https://texonom.com/dft-66c8c945c87e486fbbd76a89a94e0f87)|
|[Fourier transform Geometry](https://texonom.com/fourier-transform-geometry-3a9ad4146e3d4a62997af6c5ce11d322)|
|[Inverse Fourier Transform](https://texonom.com/inverse-fourier-transform-4e3696ead2154b2daa1190ed84894980)|
|[Fourier Phase Angle](https://texonom.com/fourier-phase-angle-8111db7a666b41d0a99c3f509de795c9)|
|[Fourier Spectrum](https://texonom.com/fourier-spectrum-47a788cf92bc48e7a9897fcf30517a1d)|


### Fourier Transform Usages
|Title|
|:-:|
|[The convolution theorem](https://texonom.com/the-convolution-theorem-360d2a1aa77c4ade8e7de267f3119c90)|
|[Fourier transform for Image](https://texonom.com/fourier-transform-for-image-6d73fa49680a46c39758230bee6a36e7)|
|[Fourier interpretation](https://texonom.com/fourier-interpretation-a9a25b83ff274e46ab29f5977f332aa9)|



### Inference
> [디지털 영상 처리 - 샘플링과 샘플링된 함수의 푸리에 변환](https://everyday-image-processing.tistory.com/148)

### Meaning
> [세상을 바꾼 알고리즘](https://youtu.be/eKSmEPAEr2U)

### Learn
> [연속시간 푸리에 급수(Continuous Time Fourier Series)](https://angeloyeo.github.io/2019/06/23/Fourier_Series.html)

### Total
> [Fourier Transform(푸리에 변환)의 이해와 활용](https://darkpgmr.tistory.com/171)

### Visualize
> [푸리에 변환.. 왔습니다. 그려서 보여드리겠습니다.](https://www.youtube.com/watch?v=Mc9PHZ3H36M)





