circumcenters
Class: TriRep
(Not recommended) Circumcenters of specified simplices
Compatibility
Note
circumcenters(TriRep) is not recommended. Use circumcenter(triangulation) instead.
TriRep is not recommended. Use triangulation instead.
Syntax
CC = circumcenters(TR, SI)
[CC RCC] = circumcenters(TR, SI)
Description
CC = circumcenters(TR, SI) returns the coordinates of the circumcenter
of each specified simplex SI. CC is an
m-by-n matrix, where m is of length
length(SI), the number of specified simplices, and n is
the dimension of the space where the triangulation resides.
[CC RCC] = circumcenters(TR, SI) returns the circumcenters and the
corresponding radii of the circumscribed circles or spheres.
Input Arguments
TR | Triangulation object. |
SI | Column vector of simplex indices that index into the triangulation matrix
TR.Triangulation. If SI is not specified the
circumcenter information for the entire triangulation is returned, where the circumcenter
associated with simplex i is the i'th row of
CC. |
Output Arguments
CC | m-by-n matrix. m is the number
of specified simplices and n is the dimension of the space where the
triangulation resides. Each row CC(i,:) represents the coordinates of the
circumcenter of simplex SI(i). |
RCC | Vector of length length(SI), the number of specified simplices
containing radii of the circumscribed circles or spheres. |
Examples
Example 1
Load a 2-D triangulation.
load trimesh2d trep = TriRep(tri, x,y)
Compute the circumcenters.
cc = circumcenters(trep); triplot(trep); axis([-50 350 -50 350]); axis equal; hold on; plot(cc(:,1),cc(:,2),'*r'); hold off;
The circumcenters represent points on the medial axis of the polygon.
Example 2
Query a 3-D triangulation created with DelaunayTri. Compute the
circumcenters of the first five tetrahedra.
X = rand(10,3); dt = DelaunayTri(X); cc = circumcenters(dt, [1:5]')