Answers in BLUE

Homework 9, due Thurs Nov 29. Solution

Hand in your solution on RPILMS. Each team should submit their solution under only 1 student's name. The other student's submission should just name the lead student. (This makes it easier for us to avoid grading it twice.) For programming exercises, hand in code and screen dumps. We won't run your code, but will use the screendumps to judge how it worked.

1. (10 pts) Exercise 12.1, page 469.
2. (10 pts) Exercise 12.2, page 469.
3. (10 pts) Exercise 12.3, page 470.
4. (10 pts) Exercise 13.3, page 497.
5. (10 pts) Imagine a 2D cubic Bezier curve with control points (0,0), (0,1), (1,1), (1,0). What is are the points on the curve for t=0, 0.25, 0.5, 0.75, 1.0?
   • The weights for P(0) are 1, 0, 0, 0. P(0)=(0,0).
   • t=.25: .42, .42, .14, .02. P(1/4) = (.16, ,56).
   • t=.5: 1/8, 3/8, 3/8, 1/8. P(1/2) = (1/2,3/4).
   • t=.75: complementary to t=.25. P(3/4) = (.84,.56).
   • t=1: 0,0,0,1. P(1)=(1,0).

Total: 50