cartToBary - Class: TriRep

Convert point coordinates from cartesian to barycentric

Syntax

Description

B = cartToBary(TR, SI, XC) returns the barycentric coordinates of each point in XC 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

baryToCart | pointLocation

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