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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(π“Š) = π’«k(2π“Š3 βˆ’ 3π“Š2 +1) + π’«k+1 (βˆ’2π“Š+ 3π“Š) + π’Ήπ“…k (π“Šβˆ’2π“Šπ“Š) + π’Ήπ’«k+1 (π“Šβˆ’π“Š2)
b) 
𝓅(π“Š) = π’«k(2π“Š3 βˆ’ 3π“Š2 +1) + π’«k+1 (βˆ’2π“Š+ 3π“Š) + π’Ήπ“…k (π“Šβˆ’2π“Š π“Š) + π’Ήπ’«k+1 (π“Šβˆ’π“Š2)
c) 
𝓅(π“Š) = π’«k(2π“Š3 βˆ’ 3π“Š2 +1) + π’«k+1 (βˆ’2π“Š+ 3π“Š2) + π’ΉοΏ½οΏ½k (π“Šβˆ’2π“Šπ“Š) + π’Ήπ’«k+1 (π“Šβˆ’π“Š2)
d) 
𝓅(π“Š) = π’«k(2π“Š3 βˆ’ 3π“Š2 +1) + π’«k+1 (βˆ’2π“Š+ 3π“Š) + π’Ήπ“…k (π“Šβˆ’2π“Š π“Š) + π’Ήπ’«k+1 (π“Šβˆ’π“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