baryToCart - Class: TriRep

Convert point coordinates from barycentric to Cartesian

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

Output Arguments

Definitions

A simplex is a triangle/tetrahedron or higher-dimensional equivalent.

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(:,:);
subplot(1,2,1);
triplot(dt); hold on;
plot(cc(:,1), cc(:,2), '*r'); hold off;
axis equal;
% Original triangulation and 
% reference points.

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);
subplot(1,2,2);
triplot(tr); hold on;
plot(xc(:,1), xc(:,2), '*r'); hold off;
axis equal;
% Deformed triangulation and mapped 
% locations of the reference points.

See Also

DelaunayTri.pointLocation | TriRep.cartToBary