Question

The degree of the Bezier curve with n control points is:

(a) n + 1

(b) n – I

(c) n

(d) 2n

This question was posed to me in an online interview.

My doubt stems from Precision Points for Function Generation in section Computer Aided Analysis and Synthesis of Mechanisms of Machine Dynamics

Answer 1

Right choice is (a) n + 1

Explanation: The degree of a Bézier curve defined by n+1 control points is n:

In each basis function, the exponent of u is i + (n – i) = n. Therefore, the degree of the curve is n.