Which is the correct equation for cardinal spline?
a) 𝓅(𝓊) = 𝓅k-2 CAR0(𝓊) + 𝓅k+1 CAR1(𝓊) + 𝓅k+2 CAR2(𝓊) + 𝓅k+3 CAR3(𝓊)
b) 𝓅(𝓊) = 𝓅k-1 CAR0(𝓊) + 𝓅kCAR1(𝓊) + 𝓅k+1 CAR2(𝓊) + 𝓅k+2 CAR3(𝓊)
c) 𝓅(𝓊) = 𝓅kCAR0(𝓊) + 𝓅k+1 CAR1(𝓊) + 𝓅k+2 CAR2(𝓊) + 𝓅k+3 CAR3(𝓊)
d) 𝓅(𝓊) = 𝓅k+1 CAR0(𝓊) + 𝓅k+2 CAR1(𝓊) + 𝓅k+3 CAR2(𝓊) + 𝓅k+4 CAR3(𝓊)
Kochanek-bartels spline is extension of:
a) Natural cubic splines
b) Hermit interpolation
c) Cardinal splines
d) Modern cubic splines
Which two additional parameters are introduced into the constraint equation for defining Kochanek-Bartels spline to provide more flexibility in adjusting the shape of the curve section?
a) Bias and Continuity
b) Bias and Tension
c) Continuity and Tension
d) None of these
In a Kochanek-Bartels spline, which parameter is used to adjust the amount that the curve bends at each end of the section?
a) Tension
b) Bias
c) Continuity
d) None of these
In Kochanek-Bartels spline, which parameter is used to controls the continuity of the tangent vectors across the boundaries of the section?
a) Tension
b) Bias
c) Continuity
d) None of these
Bezier curves are developed by :
a) American mathematician Charles Bezier
b) American mathematician Charlie Bezier
c) French engineer Polin Bezier
d) French engineer Pierre Bezier
