In which cubic spline interpolation method we need to give endpoint tangent value externally?
a) Natural cubic splines
b) Hermit interpolation
c) Cardinal splines
d) Modern cubic splines
Hermit interpolation:
a) Allows local control
b) Does not allows local control
c) Sometimes allows local control
d) None of these
Which is the correct equation for hermit interpolation?
a) đ
(đ) = đĢk(2đ3 â 3đ2 +1) + đĢk+1 (â2đ2 + 3đ) + đšđ
k (đ3 â2đ2 + đ) + đšđĢk+1 (đ3 âđ2)
b) đ
(đ) = đĢk(2đ3 â 3đ2 +1) + đĢk+1 (â2đ2 + 3đ) + đšđ
k (đ2 â2đ + đ) + đšđĢk+1 (đ3 âđ2)
c) đ
(đ) = đĢk(2đ3 â 3đ2 +1) + đĢk+1 (â2đ3 + 3đ2) + đšīŋŊīŋŊk (đ3 â2đ2 + đ) + đšđĢk+1 (đ3 âđ2)
d) đ
(đ) = đĢk(2đ3 â 3đ2 +1) + đĢk+1 (â2đ2 + 3đ) + đšđ
k (đ2 â2đ + đ) + đšđĢk+1 (đ2 âđ)
In cardinal spline values of the slope at the control point is (are) calculated from -----immediate neighbor control point(s).
a) 1
b) 2
c) 3
d) 4
In a cardinal spline, its spline section is completely specified by the ----- control point(s)
a) 1
b) 2
c) 3
d) 4
In a cardinal spline, when t (tension parameter) = 0 this class of curve is referred to as :
a) Catmull-Rom spline
b) Overhauser splines
c) A and B both
d) None of these