cartToBary

Class: TriRep

(Not recommended) Convert point coordinates from Cartesian to barycentric

Compatibility

Note

cartToBary(TriRep) is not recommended. Use cartesianToBarycentric(triangulation) instead.

TriRep is not recommended. Use triangulation instead.

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.

`TR`	Triangulation representation.
`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.

`B`	Matrix of dimension `m`-by-`k` where `k` is the number of vertices per simplex.

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;