3D22D

Perspective projection of 3D space onto a 2D screen. The formula I have used may have been derived earlier but I was inspired by https://www.youtube.com/watch?v=eoXn6nwV694 and derived another formula by myself.

Explanation

Output

Original inspiration

https://www.youtube.com/watch?v=p09i_hoFdd0

Latter inspiration

https://www.youtube.com/watch?v=eoXn6nwV694

Process

• I thought the above will be too difficult and started out with no rotation and just projected a 3D cube onto a screen.
• Then I learnt about matrix multiplication and realised its actually easy to rotate the cube, just not easy to get that smooth animation.
• So, I implemented some rotation too in my project. Simple rotation of 45 deg about X-axis.

Rotation matrices

I multiplied my (x, y, z) point in 3D space only with the Rx rotation matrix but all three dimensional rotation can be implemented.