incenters - Class: TriRep
Incenters of specified simplices
Syntax
IC = incenters(TR,SI)
[IC RIC] = incenters(TR, SI)
Description
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.
Inputs
| 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. |
Outputs
| 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. |
Definitions
A simplex is a triangle/tetrahedron or higher-dimensional equivalent.
Examples
Example 1
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]')
Example 2
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;
See Also
 | imwrite | | inOutStatus (DelaunayTri) |  |
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