CG Homework 5, due Thu 2016-10-06 9am
- (2 pts) What is the quaternion for the rotation by 90 degrees about the axis (5,4,3), followed by the rotation by 180 degrees about the axis (0,0,1)?
- (2 pts) What is that rotation's axis and angle?
- (2 pts) (Reread My note on 3D Interpolation, which I discussed in lecture 11.) You wish to interpolate a smooth, constant speed, path on a sphere from \(\left(\frac{1}{\sqrt{2}},0,\frac{1}{\sqrt{2}}\right)\) to \(\left( \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}} \right)\). Give the 1/3 and 2/3 points of that path.
- (14 pts) Do question 3.2 on page 132 of the textbook.
(Total: 20 points.)