(Will be removed) Convert point coordinates from cartesian to barycentric
B = cartToBary(TR, SI, XC)
B = cartToBary(TR, SI, XC) returns the barycentric coordinates of each point in XC with respect to its associated simplex SI.
|SI||Column vector of simplex indices that index into the triangulation matrix TR.Triangulation.|
|XC||Matrix that represents the Cartesian coordinates of the points to be converted. XC is of size m-by-n, where m is of length(SI), the number of points to convert, and n is the dimension of the space where the triangulation resides.|
Compute the Delaunay triangulation of a set of points.
x = [0 4 8 12 0 4 8 12]'; y = [0 0 0 0 8 8 8 8]'; dt = DelaunayTri(x,y)
Compute the barycentric coordinates of the incenters.
cc = incenters(dt); tri = dt(:,:);
Plot the original triangulation and reference points.
figure subplot(1,2,1); triplot(dt); hold on; plot(cc(:,1), cc(:,2), '*r'); hold off; axis equal;
Stretch the triangulation and compute the mapped locations of the incenters on the deformed triangulation.
b = cartToBary(dt,[1:length(tri)]',cc); y = [0 0 0 0 16 16 16 16]'; tr = TriRep(tri,x,y) xc = baryToCart(tr, [1:length(tri)]', b);
Plot the deformed triangulation and mapped locations of the reference points.
subplot(1,2,2); triplot(tr); hold on; plot(xc(:,1), xc(:,2), '*r'); hold off; axis equal;