recategorized by
2,437 views
2 votes
2 votes

Which of the following statements is/are correct with reference to curve generation?

  1. Hermite curves are generated using the concepts of interpolation
  2. Bezier curves are generated using the concepts of approximation
  3. The Bezier curve lies entirely within the convex hull of its control points
  4. The degree of Bezier curve does not depend on the number of control points
    1. I, II and IV only
    2. II and III only
    3. I and II only
    4. I, II and III only
recategorized by

1 Answer

2 votes
2 votes

Hermite curves are very easy to calculate but also very powerful. They are used to smoothly interpolate between key-points (like object movement in keyframe animation or camera control).

http://cubic.org/docs/hermite.htm

In general, a Bezier curve section can be fitted to any number of control points.
The number of control points to be approximated and their relative position determine
the degree of the Bezier polynomial.

Another important property of any Bezier curve is that it lies within the convex hull (convex polygon boundary) of the control points. This follows from the properties of Bezier blending functions: They are all positive and their sum is always 1

So, I, II, III are true

Answer:

Related questions

4 votes
4 votes
2 answers
4
Meenakshi Sharma asked Aug 13, 2016
9,176 views
A point P(5,1) is rotated by 90$^o$ about a pivot point (2,2). What is the coordinate of new transformed point P'?(3,5)(5,3)(2,4)(1,5)