linear interpulation 3D triangle

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!

[KSSV]

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]

yes, exactlly

Answer 1

[KSSV]

% 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')