Catmull-Rom Spline Exercises

Single Spline

Create the Catmull-Rom Spline with $P_0=(150,50)$ , $P_1=(350,175)$ , $P_2=(500,110)$ , and $P_3=(460,450)$ . Describe the spline.
Swap P₁ and P₂ and redraw the spline. Describe the new spline. Why?

Double Spline

Using the original points (non-swapped), add an additional point, P_4=(750,125). Describe the new spline curve.
Swap P₂ and P₃ and redraw the spline curve. Why?
Predict what would happen if, using the original points, the following swaps were made:
1. P₁ and P₃ were swapped
2. P₁ and P₂ were swapped

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