baryToCart
Class: TriRep
(Not recommended) Convert point coordinates from barycentric to Cartesian
Compatibility
Note
baryToCart(TriRep) is not recommended. Use barycentricToCartesian(triangulation)
instead.
TriRep is not recommended. Use triangulation instead.
Syntax
XC = baryToCart(TR, SI, B)
Description
XC = baryToCart(TR, SI, B) returns the Cartesian coordinates
XC of each point in B that represents the
barycentric coordinates with respect to its associated simplex
SI.
Input Arguments
TR | Triangulation representation. |
SI | Column vector of simplex indices that index into the triangulation
matrix TR.Triangulation |
B | B is a matrix that represents the barycentric
coordinates of the points to convert with respect to the simplices
SI. B is of size
m-by-k, where
m = length(SI), the number of
points to convert, and k is the number of vertices
per simplex. |
Output Arguments
XC | Matrix of Cartesian coordinates of the converted points.
XC is of size
m-by-n, where
n is the dimension of the space where the
triangulation resides. That is, the Cartesian coordinates of the point
B(j) with respect to simplex
SI(j) is XC(j). |
Examples
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;
