📄 e461.m
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%----------------------------------------------------------------------
% Example 4.6.1: Two-Dimensional Bilinear Interpolation
%----------------------------------------------------------------------
% Initialize
clc
clear
m = 9;
n = 9;
m1 = 8*m;
n1 = 8*n;
c = 1;
x = linspace (-c,c,m)';
y = linspace (-c,c,n)';
x1 = linspace (-c,c,m1)';
y1 = linspace (-c,c,n1)';
Z = zeros (m,n);
Z1 = zeros (m1,n1);
fun461 = inline ('0.1/(x^2 + y^2 + 0.1)','x','y');
% Cumpute surface at grid points
fprintf ('Example 4.6.1: Bilinear Interpolation\n');
for i = 1 : m
for j = 1 : n
Z(i,j) = fun461(x(i),y(j));
end
end
% Intepolated surface
Z1 = bilin(x,y,Z,x1,y1);
plotxyz (x1,y1,Z1,'Interpolated Surface','x','y','z')
% Actual surface
hwbar = waitbar (0,'Evaluating Actual Surface');
for i = 1 : m1
waitbar (i/m1);
for j = 1 : n1
Z1(i,j) = fun461(x1(i),y1(j));
end
end
close (hwbar);
plotxyz (x1,y1,Z1,'Actual Surface','x','y','z')
%----------------------------------------------------------------------
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