TriRep class -

Triangulation representation

Description

TriRep provides topological and geometric queries for triangulations in 2-D and 3-D space. For example, for triangular meshes you can query triangles attached to a vertex, triangles that share an edge, neighbor information, circumcenters, or other features. You can create a TriRep directly using existing triangulation data. Alternatively, you can create a Delaunay triangulation, via DelaunayTri, which provides access to the TriRep functionality.

Construction

TriRep

Triangulation representation

Methods

baryToCart	Converts point coordinates from barycentric to Cartesian
cartToBary	Convert point coordinates from cartesian to barycentric
circumcenters	Circumcenters of specified simplices
edgeAttachments	Simplices attached to specified edges
edges	Triangulation edges
faceNormals	Unit normals to specified triangles
featureEdges	Sharp edges of surface triangulation
freeBoundary	Facets referenced by only one simplex
incenters	Incenters of specified simplices
isEdge	Test if vertices are joined by edge
neighbors	Simplex neighbor information
size	Size of triangulation matrix
vertexAttachments	Return simplices attached to specified vertices

Properties

X	Coordinates of the points in the triangulation
Triangulation	Triangulation data structure

Copy Semantics

Value. To learn how this affects your use of the class, see Comparing Handle and Value Classes in the MATLAB Object-Oriented Programming documentation.

Indexing

TriRep objects support indexing into the triamgulation using parentheses (). The syntax is the same as for arrays.

Examples

Load a 2-D triangulation and use the TriRep constructor to build an array of the free boundary edges:

 load trimesh2d

This loads triangulation tri and vertex coordinates x, y:

trep = TriRep(tri, x,y);
fe = freeBoundary(trep)';
triplot(trep);

You can add the free edges fe to the plot:

hold on;
plot(x(fe), y(fe), 'r','LineWidth',2);
hold off;
axis([-50 350 -50 350]);
axis equal;