Surface plot of function over triangular domain

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Gaudio
Gaudio on 21 Aug 2015
Commented: Bruno Luong on 29 Apr 2022
Hello,
I would like to create a surface plot over a triangular domain. The result should be a curved triangle. I have a little example here:
syms x y
z = x^2+y^2;
ezsurf(x,y,z);
hold on
% triangular domain with P(x,y)
P1 = [1,1];
P2 = [2,0.5];
P3 = [4,4];
plot([P1(1);P2(1);P3(1);P1(1)],[P1(2);P2(2);P3(2);P1(2)]);
All z values for x,y combinations inside the triangle shall be plotted. The rims should not look like steps. Do you have any suggestions?
Thanks a lot.
Ps: I am using Symbolic Math Toolbox (as you might see)
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Answers (1)

Bruno Luong
Bruno Luong on 29 Apr 2022
Edited: Bruno Luong on 29 Apr 2022
P1 = [1,1];
P2 = [2,0.5];
P3 = [4,4];
zfun = @(x,y) x.^2+y.^2;
% Create triangular mesh of triangla P1,P2,P3
n=20;
[I,J]=meshgrid(linspace(0,1,n));
keep=I+J <= 1+eps;
IJ = [I(keep),J(keep)];
K = 1-sum(IJ,2);
F=delaunay(IJ);
IJK = [IJ,K];
XY=IJK*[P1;P2;P3];
x=XY(:,1);
y=XY(:,2);
trisurf(F,x,y,zfun(x,y))

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