Exercises 13–15 concern the subdivision of a Bézier curve

Chapter 8, Problem 13E

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QUESTION:

Exercises 13–15 concern the subdivision of a Bézier curve shown in Fig. 7. Let x (t) be the Bézier curve, with control points a. Use equation (12) to show that q1 is the midpoint of the segment from p0 to p1.b. Use equation (13) to show that

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QUESTION:

Exercises 13–15 concern the subdivision of a Bézier curve shown in Fig. 7. Let x (t) be the Bézier curve, with control points a. Use equation (12) to show that q1 is the midpoint of the segment from p0 to p1.b. Use equation (13) to show that

ANSWER:

Solution 13E1. Since , Therefor

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