3D Transformations

• Use homogeneous coordinates again:
• 3D point = (x, y, z, 1)T
• 3D vector = (x, y, z, 0)T
• In general, (x, y, z, w) (w != 0) is the 3D point: (x/w, y/w, z/w)
• Use 4×4 matrices for affine transformations

• What’s the order?
• Linear Transform first or Translation first?

General Rotation Matrices

Euler angles

References

1. CS4620 (5620) Introduction to Computer Graphics @ Cornell University by Steve Marschner
2. CSCI-GA 2270-001 Fall 2018 @ NYU by Daniele Panozzo
3. Computer Graphics 15-462/15-662, Fall 2016 @ CMU by