CS 4620 Homework 7
due: Friday 5 December 2006 (late OK to 8 December)
Problem 1: Spline evaluation
1. The four control points p0= (−1,0),p1= (0,−1),p2= (1,0), and p3= (0,1)
can be used to define one segment of (a) B´
ezier spline, (b) Catmull-Rom spline, or
(c) B-spline. For each type of spline, plot the spline curve and the xand ycoordinate
functions for the spline segment defined by these control points.
2. Find the minimal axis-aligned bounding boxes of the three curves.
3.* Find the control points that would be required to make the Catmull-Rom spline and
the B-spline produce the same curve that the B´
ezier spline produces for the points
p0,...,p3
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