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CSE 5256Advanced Computer Graphics
Spring 1998 Homework #1

1.
Given data points P0 = (1, 1), P1 = (2, 3), P2 = (4, 3), and P3 = (3, 1), find a Bezier curve that approximates it.
2.
Given data points P0 = (1, 1), P1 = (2, 3), P2 = (4, 3), and P3 = (3, 1) and a knot sequence 1#10, 0, 1, 2, 3, 32#2, find a second-order B-spline curve that approximates it.
3.
Given data points P0 = (1, 1), P1 = (2, 3), P2 = (4, 3), and P3 = (3, 1) and a knot sequence 1#10, 0, 0, 0, 1, 1, 1, 12#2, find a fourth-order B-spline curve that approximates it. Is there a relationship between this curve and the curve in the first problem?



William Shoaff
1999-02-22