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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the equation of a Bézier curve defined by 3 control points?
💡 Hint: Think of the control points and how they influence the shape at t values.
Question 2
Easy
Define a Hermite curve.
💡 Hint: Recall the properties of endpoints and tangents in curve shaping.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What defines a Bézier curve?
- Only one control point
- Two endpoints and tangents
- A set of control points
💡 Hint: Remember, more control points allow for more complex curves.
Question 2
True or False: B-spline curves allow the user to affect only a portion of the curve when a control point is modified.
- True
- False
💡 Hint: Think about the meaning of locality in design representation.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Derive the parametric equations for a surface of revolution generated by rotating the circle x² + y² = r² about the x-axis.
💡 Hint: Remember the circular rotation's coordinates—think trigonometric!
Question 2
Define how changing a single control point in a B-spline affects the overall curve and provide an example.
💡 Hint: Visualize bending a soft wire; only the portion you grasp moves!
Challenge and get performance evaluation