SI = edgeAttachments(TR, V1, V2) returns the simplices SI attached to the edges specified by (V1, V2). (V1, V2) represents the start and end vertices of the edges to be queried.

SI = edgeAttachments(TR, EDGE) specifies edges in matrix format.

Inputs

`TR`	Triangulation representation.
`V1,V2`	Column vectors of vertex indices into the array of points representing the vertex coordinates.
`EDGE`	Matrix specifying edge start and end points. `EDGE` is of size `m`-by-2, `m` being the number of edges to query.

Outputs

`SI`	Vector cell array of indices into the triangulation matrix. `SI` is a cell array because the number of simplices associated with each edge can vary.

Definitions

A simplex is a triangle/tetrahedron or higher dimensional equivalent.

Examples

Example 1

Load a 3-D triangulation to compute the tetrahedra attached to an edge.

load tetmesh
trep = TriRep(tet, X);
v1 = [15 21]';
v2 = [936 716]';
t1 = edgeAttachments(trep, v1, v2);

You can also specify the input as edges.

e = [v1 v2];
t2 = edgeAttachments(trep, e);
isequal(t1,t2);

Example 2

Create a triangulation with DelaunayTri.

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

Query the triangles attached to edge (1,5).

t = edgeAttachments(dt, 1,5);
t{:};

edgeAttachments - Class: TriRep

Syntax

Description