UGC NET CSE | October 2020 | Part 2 | Question: 82

Question

 

Given below are two statements:

Statement $I$: Bezier curves are curves that interpolate all of their control points

Statement $II$: A cubic bezier curve has four control points

In the light of the above statements, choose the correct answer from the options given below

• A. Both Statement $I$ and Statement $II$ are true
• B. Both Statement $I$ and Statement $II$ are false
• C. Statement $I$ is correct but Statement $II$ is false
• D. Statement $I$ is incorrect but Statement $II$ is true

Answer 1

A Bézier curve is defined by a set of control points  P0 through Pn, where n is called its order (n = 1 for linear, 2 for quadratic, etc.). The first and last control points are always the end points of the curve; however, the intermediate control points (if any) generally do not lie on the curve.

Statement I is incorrect

Cubic Bézier curves

Four points P0, P1, P2 and P3 in the plane or in higher-dimensional space define a cubic Bézier curve

hence ans is D) Statement I is incorrect but Statement II is true

https://en.wikipedia.org/wiki/B%C3%A9zier_curve