%% Splines in Two Dimensions
% This demonstration interpolates data with a cubic spline in 2 dimensions. It
% uses MATLAB's SPLINE function.  It does NOT use the Spline Toolbox, which is a
% complete set of functions for B-splines and other piecewise polynomials of any
% degree.
% 
% Copyright 1984-2002 The MathWorks, Inc. 
% $Revision: 5.10 $  $Date: 2002/04/15 03:37:05 $

%%
% Randomly pick eight points.  Plot them.

n = 7;
x = rand(n,1);
y = rand(n,1);
plot(x,y,'.')
axis([0 1 0 1])

%%
% Interpolate the points with two splines by evaluating them with a finer 
% spacing.  Plot the interpolated curve with a red line.

t = 1:n;
ts = 1:1/10:n;
xs = spline(t,x,ts);
ys = spline(t,y,ts);
hold on
plot(xs,ys,'r');
hold off