linear interpulation 3D triangle

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chen fire 2016-9-27

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回答： KSSV 2016-9-27

hey there, I have a triangle in coordinates (x1,y1,z1) , (x2,y2,z2),(x3,y3,z3). There exist a function f(x,y,z) inside the tirangle that has v1,v2,v3 values on the given coordinates.

i want to interpulate the 3 known coordinates, so i will recive the function inside (linear interpulation). can u please help me to write it?

thanks a lot!

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KSSV 2016-9-27

Question is not clear....you have data at nodes of 3D triangle, you need to interpolate to get data any where in side triangle? Is this the task?

chen fire 2016-9-27

yes, exactlly

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Answer 1

KSSV 2016-9-27

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https://ww2.mathworks.cn/matlabcentral/answers/304691-linear-interpulation-3d-triangle#answer_236291

在 MATLAB Online 中打开

% triangle vertices 
data = rand(3,3) ;
x = data(:,1) ;
y = data(:,2) ;
z = data(:,3) ;
% 
P = [x,y] ; V = z ;
F = scatteredInterpolant(P,V) ;
F.Method = 'natural';
F.ExtrapolationMethod = 'none' ;
% Take a point lying insuide the region for interpolation 
pq = [sum(x) sum(y)]/3 ;
Vq = F(pq) ;
% plot
v = [data ; data(1,:)] ;
plot3(v(:,1),v(:,2),v(:,3)) ;
hold on
plot3(pq(1),pq(2),Vq,'*r')