GATE 2023 PI – Question 26
What is the minimum number of control points required to generate a quadratic B-spline curve?
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Correct answer: (B) 4
Explanation
The official answer is **4, B**. There is a qualification: a degree-2 single-span clamped B-spline needs only three control points, with knot vector (0,0,0,1,1,1); it is a quadratic Bézier curve. Four points allow a degree-2 B-spline with two nonzero spans. Thus the official choice fits an implicit requirement for multiple spans, but the unrestricted mathematical minimum is three, absent from the options. Official grading is preserved.