linear interpulation 3D triangle
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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!
2 Comments
KSSV
on 27 Sep 2016
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?
Answers (1)
KSSV
on 27 Sep 2016
% 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')
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