How to get the equation for a cubic spline from cubic spline function?

Say I have two sets of data, x and y, such that

x = [1,2,3,4,5] y = [6,7,8,9,10]

t = linspace(1,5,100) Finding the cubic spline using the function:

splineX = spline(x,y,t);

I have used the command to be able to plot function splineXbut I'm not sure how I can find the actual equation the spline function calculates

(I know that for this data it would simply be a straight line but I only used this to better articulate what I'm trying to find)

Answer 1

[David Goodmanson]

Hello Gina, If you use spline in the form

pp = spline(x,y)

you will get a structure that contains all that information. pp.coefs is an nx4 matrix of polynomial coefficients for the intervals, in Matlab convention with the leftmost column containing the cubic coefficients and the rightmost column containing the constant coefficients. I'm not too good at structures so I usually use

[breaks coefs] = unmkpp(spline(x,y))

and get the coefficients that way.

[farouk messaoud]

hey; I have data to fit by cubic B-spline; How can I get the piecewise equations of the curves and the knot vector? thank you sir