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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

b

Hermit interpolation:
a) Allows local control     
b) Does not allows local control
c) Sometimes allows local control   
d) None of these

a

Which is the correct equation for hermit interpolation?
a) 
𝓅(𝓊) = đ’Ģk(2𝓊3 âˆ’ 3𝓊2 +1) + đ’Ģk+1 (−2𝓊2 + 3𝓊) + đ’šđ“…k (𝓊3 âˆ’2𝓊2 + đ“Š) + đ’šđ’Ģk+1 (𝓊3 âˆ’đ“Š2)
b) 
𝓅(𝓊) = đ’Ģk(2𝓊3 âˆ’ 3𝓊2 +1) + đ’Ģk+1 (−2𝓊2 + 3𝓊) + đ’šđ“…k (𝓊2 âˆ’2𝓊 + đ“Š) + đ’šđ’Ģk+1 (𝓊3 âˆ’đ“Š2)
c) 
𝓅(𝓊) = đ’Ģk(2𝓊3 âˆ’ 3𝓊2 +1) + đ’Ģk+1 (−2𝓊3 + 3𝓊2) + đ’šīŋŊīŋŊk (𝓊3 âˆ’2𝓊2 + đ“Š) + đ’šđ’Ģk+1 (𝓊3 âˆ’đ“Š2)
d) 
𝓅(𝓊) = đ’Ģk(2𝓊3 âˆ’ 3𝓊2 +1) + đ’Ģk+1 (−2𝓊2 + 3𝓊) + đ’šđ“…k (𝓊2 âˆ’2𝓊 + đ“Š) + đ’šđ’Ģk+1 (𝓊2 âˆ’đ“Š)

c

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

b

In a cardinal spline, its spline section is completely specified by the ----- control point(s)
a) 1                        
b) 2                        
c) 3                        
d) 4

d

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

c