CS 284 - CAGD - Warm-Up Exercise
Randomly draw four points onto a page;
Randomly assign the points the numbers 1, 2, 3, and 4;
Use polyline: (1--2--3--4) as control polygon for a Bezier curve;
Sketch the corresponding cubic Bezier curve
(observing everything you know about such curves)!
Randomly re-number the four vertices, and re-draw the Bezier curve.
Can you be sure that the curves will always fit onto your piece of paper ?