I've read over the 'cartesianToBarycentric' documentation. Here's a couple of observations. a) Your matrix T does not contain the triangle [1 2 3], so 'cartesianToBarycentric' cannot reference it in finding barycentric coordinates. You need to revise T to contain that triangle before calling on 'triangulation' and set ti to that triangle. b) For your point in PC, in TR.ConnectivityList(1,3) you selected the third vertex of the first triangle, which is ID 3 in P, so naturally you will get barycentric coordinates of 0 0 1. You need to either give that fourth point of P directly without referencing TR.Points or else reference it as the ID = 4 vertex in any one of those first three triangles of T - that is, you could write TR.ConnectivityList(1,2) since that is ID 4 in your present T, for example. Here's what I would try:
T = [1 4 3
1 4 2
3 4 2
1 2 3]
TR = triangulation(T,P);
ti = 4; % The triangle in T you are referencing
PC = TR.Points(TR.ConnectivityList(1,2),:) % The point in question
or
PC = P(4,:); % Give the point directly without using TR.Points
I hope all this makes sense. This is something I have not worked with.
