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myFourierEpicycles

(★ 85)

Draw your own fourier epicycle. The site also gives a brief explanation of the mathematics connecting fourier series and revolving epicycles.

파일 탐색기

최종 버전 다운로드 (.zip)

- .gitattributes
- epicycles.gif
- - dropzone.min.css
  - style.css
- - .gitattributes
  - Deer.svg
  - dragon.svg
  - epl-icon.svg
  - panda.png
  - tux.svg
- - baseCacheHandler.js
  - baseHandler.js
  - epicycles.js
  - findPath.js
  - fourier.js
  - imagetracer_v1.2.6.js
  - index.js
  - mainSketcher.js
  - pFiveSketch.js
  - typewriter.js
  - userSketch.js
  - util.js
  - waveCircle.js
- indexSrc.html
.babelrc
.gitattributes
.gitignore
app.js
LICENSE
package-lock.json
package.json
Procfile
README.md
webpack.config.js

# 설치 가이드

1. 코드 내려받기

git clone https://github.com/trozler/myFourierEpicycles

깃허브에서 프로젝트 코드 전체를 내 컴퓨터로 내려받습니다.

cd myFourierEpicycles

방금 내려받은 프로젝트 폴더 안으로 이동합니다.

2. Node.js

쉬움 추천

사전 준비물

Git GitHub에서 프로젝트 코드를 내려받으려면 필요합니다.
Node.js npm 명령어를 쓰려면 Node.js가 설치되어 있어야 합니다. LTS(장기지원) 버전을 추천합니다.

$ npm install

package.json에 명시된 라이브러리들을 내려받아 설치합니다.

$ npm run dev

개발/실행 서버를 켭니다.

✅ 명령어 실행 후 터미널에 나타나는 주소(보통 http://localhost:3000 형태)를 브라우저에서 열어보세요.

이 레포의 README에 적힌 실제 명령어를 그대로 가져왔습니다.

// repository documentation

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## myFourierEpicycles - you give me an image I give you its epicycles.

![p5][1]![fourier][2]![License][3]

[1]: https://img.shields.io/badge/-p5.js-%23ed225d
[2]: https://img.shields.io/badge/-fourier-blue
[3]: https://img.shields.io/badge/license-MIT-orange

![](https://raw.githubusercontent.com/trozler/myFourierEpicycles/master/promo/epicycles.gif)

This is the code for a website I'm creating https://www.myfourierepicycles.com/.

My motivation for this website is to try and fill a gap left by other work (mentioned at the end), and allow users to upload and draw their own fourier epicycles. The current implementation is far from perfect, but I think it's a good start.

The site has the following functionality:

- Upload a .svg image and find its fourier epicycles.
- Draw in an image and find its fourier epicycles.
- A brief explanation of the mathematics connecting fourier series and revolving epicycles.

### Important note on image selction:

For fast and clear drawings upload SVGs that are less than 50kb and can be made single path. It will be evident that your SVG image cannot be made single path from the output, as the fourier transform will be applied to all paths.

The code uses the [svgo library](https://github.com/svg/svgo) to compress and filter SVG files before they are displayed.

I apologies if some of your uploads, that satisfying these criteria, still don't work. Unfortunately at this stage, some SVGs just require some manual tinkering of parameters. I'm working on this.

### How to run locally

```
$ git clone https://github.com/trozler/myFourierEpicycles.git
$ npm install
$ npm run dev
```

Now open `dist/index.html` on a local web server.

### Understanding the Fourier Transform

For those curious, these resources are good starting points in understanding the fourier transform and the drawing of epicycles.

[3Blue1Brown fourier series](https://www.youtube.com/watch?v=r6sGWTCMz2k) : Great, like really great explanation.

[3Blue1Brown fourier transform](https://www.youtube.com/watch?v=spUNpyF58BY) : Just as great.

[An interactive introduction to the fourier transform](http://www.jezzamon.com/fourier/index.html) :
This article really helped me a lot. Gives excellent animations with explanations.

[The Coding Train](https://www.youtube.com/watch?v=MY4luNgGfms) : Gives a nice guide on how you can draw your own epicycles.