Coding Challenge #112: 3D Rendering with Rotation and Projection
Can I draw and rotate a 3D cube using Processing's 2D renderer with just some math?!?! Yes! Watch to learn more about rotation and projection matrices along with perspective and orthographic projection! Code: https://thecodingtrain.com/challenges/112-3d-rendering-with-rotation-and-projection
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References:
πΎ Matrix Multiplication: http://matrixmultiplication.xyz
π Rotation Matrix on Wikipedia: https://en.wikipedia.org/wiki/Rotation_matrix
π 3D Projection on Wikipedia: https://en.wikipedia.org/wiki/3D_projection
Videos:
π Matrix Math: https://www.youtube.com/watch?v=uSzGdfdOoG8
π Matrix Multiplication for 3D Rendering: https://youtu.be/tzsgS19RRc8
π΄ Coding Train Live 148.1: https://youtu.be/v6EmLhu7C9M?t=3285s
Related Coding Challenges:
π #26 3D Supershapes: https://youtu.be/akM4wMZIBWg
π #113 4D Hypercube (aka 'Tesseract'): https://youtu.be/XE3YDVdQSPo
π #142 Rubik's Cube: https://youtu.be/9PGfL4t-uqE
Timestamps:
0:00 Introducing today's topic: 3D rendering in 2D
2:08 Let's begin coding!
7:50 Add a projection matrix
12:00 Add a rotation matrix
18:02 Make a cube with 8 points
20:41 Normalize the cube
21:45 Connect the edges
28:09 Add perspective projection
31:36 Conclusion and next steps
Editing by Mathieu Blanchette
Animations by Jason Heglund
Music from Epidemic Sound
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#3drendering #projectionmatrix #perspectiveprojection #rotationmatrix #processing