https://github.com/julienetie/study_3d-matrices

Self study to understand 3d in modern computing
https://github.com/julienetie/study_3d-matrices

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Self study to understand 3d in modern computing

• Host: GitHub
• URL: https://github.com/julienetie/study_3d-matrices
• Owner: julienetie
• Created: 2015-03-23T16:51:02.000Z (almost 10 years ago)
• Default Branch: master
• Last Pushed: 2015-03-24T23:04:58.000Z (almost 10 years ago)
• Last Synced: 2023-02-27T21:46:38.212Z (almost 2 years ago)
• Homepage:
• Size: 285 KB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        


#3d Matrices

![](https://raw.githubusercontent.com/julienetie/Study_3D-Matrices/master/equations/discworld.jpg)

This is a little curious research to give myself a better understanding into how 3D space is represented via computing. It's just crazy amounts of Googl-ing , unfortunately there are too many credits to references. **This is work in progress**. Although I have modified other's examples & created my own for my comprehension,  I hope this can be useful to anyone. ;-)

> *Licence: Free to use, publish, whatever. Examples that I have used*

> *that are not of my own are considerably non-restrictive.  - Julien*

(Terminology is at the foot of this page) 

**Index::**

*..Index goes here*

**A Refreshment on Matrices:**

Matrices are similar to 2D Arrays(). This is a 3x4 matrix (3 rows,4 cols). 

![](https://raw.githubusercontent.com/julienetie/Study_3D-Matrices/master/equations/three_by_four.gif)

Elements can be indexed using this notation: ![](https://raw.githubusercontent.com/julienetie/Study_3D-Matrices/master/equations/axy1.gif) x = row, y = column. 

A(2,3) = 7. 

#2D Transformations

**SCALE**

**TRANSLATION**

**ROTATION**

**SHEAR**

**REFLECT**

#3D Transformations 

**3D ROTATE**

**3D REFLECT**

**SCALE**

**SCALE**

#Homogeneous Coordinates & Matrix Notation