In Exercises 11 and 12, mark each statement

Chapter 8, Problem 12E

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QUESTION:

In Exercises 11 and 12, mark each statement True or False. Justify each answer.

a. The essential properties of Bézier curves are preserved under the action of linear transformations, but not translations.

b. When two Bézier curves x(t) and y(t) are joined at the point where x(1) = y(0), the combined curve has \(G^0\) continuity at that point.

c. The Bézier basis matrix is a matrix whose columns are the control points of the curve.

Questions & Answers

QUESTION:

In Exercises 11 and 12, mark each statement True or False. Justify each answer.

a. The essential properties of Bézier curves are preserved under the action of linear transformations, but not translations.

b. When two Bézier curves x(t) and y(t) are joined at the point where x(1) = y(0), the combined curve has \(G^0\) continuity at that point.

c. The Bézier basis matrix is a matrix whose columns are the control points of the curve.

ANSWER:

Solution 12E1. the given statem

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