incenters

Class: TriRep

(Not recommended) Incenters of specified simplices

Compatibility

Note

incenters(TriRep) is not recommended. Use incenter(triangulation) instead.

TriRep is not recommended. Use triangulation instead.

IC = incenters(TR,SI) [IC RIC] = incenters(TR, SI)

IC = incenters(TR,SI) returns the coordinates of the incenter of each specified simplex SI.

[IC RIC] = incenters(TR, SI) returns the incenters and the corresponding radius of the inscribed circle/sphere.

`TR`	Triangulation representation.
`SI`	Column vector of simplex indices that index into the triangulation matrix `TR.Triangulation`. If `SI` is not specified the incenter information for the entire triangulation is returned, where the incenter associated with simplex `i` is the `i`'th row of `IC`.

`IC`	`m`-by-`n` matrix, where `m = length(SI)`, the number of specified simplices, and `n` is the dimension of the space where the triangulation resides. Each row `IC(i,:)` represents the coordinates of the incenter of simplex `SI(i)`.
`RIC`	Vector of length `length(SI)`, the number of specified simplices.

Load a 3-D triangulation:

 load tetmesh

Use TriRep to compute the incenters of the first five tetrahedra.

 trep = TriRep(tet, X)
 ic = incenters(trep, [1:5]')

Query a 2-D triangulation created with DelaunayTri.

x = [0 1 1 0 0.5]';
y = [0 0 1 1 0.5]';
dt = DelaunayTri(x,y);

Compute incenters of the triangles:

ic = incenters(dt);

Plot the triangles and incenters:

triplot(dt);
axis equal;
axis([-0.2 1.2 -0.2 1.2]);
hold on; 
plot(ic(:,1),ic(:,2),'*r'); 
hold off;