Automatic UV Mapping Using Harmonic Mapping: A Tutorial and Introduction

Hello, I'm the author. Some weeks ago, I posted here a reference implementation of automatic UV-mapping with harmonic mapping(https://github.com/Erkaman/auto_uv_map). I promised that I would write an article that explains the mathematics of the source code, and here it is.

I wanted to write this article because all the existing literature on this topic is pretty difficult, and I wanted to see if I could solve that issue by writing my own article about it. But as I was writing it, I discovered that this stuff is pretty damn hard to explain, and it made me sort of understand why all the existing literature is hard to read.

But my hope is that this article at least succeeds in explaining the intuition behind the technique. If there's anything that is not clear in the article, please ask here, and I will attempt to explain.