Problem:
Solution:
Part (a) is trivial.
For part (b), the sum of the coefficients is $ ((1 - t) + t)^3 = 1 $, so it is a convex combination.
In fact, the proposition only make sense if the control polygon is convex. A general quadrilateral need not be convex, so it might not be true always.
Solution:
Part (a) is trivial.
For part (b), the sum of the coefficients is $ ((1 - t) + t)^3 = 1 $, so it is a convex combination.
In fact, the proposition only make sense if the control polygon is convex. A general quadrilateral need not be convex, so it might not be true always.
No comments:
Post a Comment