CSE 477
Quiz 2  /  self-graded: don’t hand in

1. Can a cubic 3D Bezier curve describe a straight line? Explain.

Yes, if all control points are on a straight line.

2.  Define the quadratic Bernstein polynomial (Subscript[B, 1]^2).

2(1-t)t

3. Write down the first 5 rows of Pascal’s triangle.

1
1  1
1  2  1
1  3  3  1
1  4  6  4  1

4. Let three 3D points form a Bezier polygon: {{0,0,0}, {3,0,0}, {3,3,3}}.
Using the de Casteljau algorithm, evaluate at t=1/3.

{1,0,0}, {3,1,1} result: {2/3+1,0+1/3,0+1/3}={5/3, 1/3, 1/3}.

5. What is the minmax-box of {{0,0,0}, {3,0,0}, {3,3,3}, {0,3,3}}

{0,0,0}, {3,3,3}