[Scilab-users] Bessel cubic spline

[fujimoto2005]

Is there a function of Bessel cubic spline?
I mean Besse cubic spline as follows.
1,pieacewise 3 degree polynomial on the each interval [x(i),x(i+1)] for
i=1,2,..,n-1
2,f(x(i))=y(i) for 1=1,2,..,n
3,continuous at all xi for i=2,...,n-1
4,differnciable at all xi for i=2,...,n-1
5,f''(xi) for i=2,...,n-1 is same as the slope of a quadratic function which
pass 3 points (x(i-1),y(i-1)) (x(i),y(i)),(x(i+1),y(i+1))
5,f''(x(1))is same as the slope of a quadratic function which pass 3 points
(x(1),y(1)) (x(2),y(2)),(x(3),y(3))
5,f''(x(n))is same as the slope of a quadratic function which pass 3 points
(x(n-2),y(n-2)) (x(n-1),y(n-1)),(x(n),y(n))

Best regards



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