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clear all; close all; clc;

x_mess=2*(rand(1,100)-0.5);
y_mess=2*(rand(1,100)-0.5);
z_mess=2./(1+x_mess.^2+y_mess.^2);

plot3(x_mess,y_mess,z_mess,'o');
title('Messdaten');

x_int=linspace(-1,1,50);
y_int=x_int;
y_int=y_int(:);

[X,Y,Z]=griddata(x_mess,y_mess,z_mess,x_int,y_int,'v4');
figure;
surf(X,Y,Z);
title('method: v4');
[X,Y,Z]=griddata(x_mess,y_mess,z_mess,x_int,y_int,'linear');
figure;
surf(X,Y,Z);
title('method: linear');
[X,Y,Z]=griddata(x_mess,y_mess,z_mess,x_int,y_int,'cubic');
figure;
surf(X,Y,Z);
title('method: cubic');
[X,Y,Z]=griddata(x_mess,y_mess,z_mess,x_int,y_int,'nearest');
figure;
surf(X,Y,Z);
title('method: nearest');