featureEdges
Sharp edges of surface triangulation
Description
F = featureEdges(
returns the feature
edges in a 2-D triangulation according to an angle
TR
,theta
)theta
. This function is typically used to extract sharp edges
in a surface mesh plot.
Examples
Surface Feature Edges
Find and plot the feature edges of a surface.
Create a 2-D Delaunay triangulation.
x = [0 0 0 0 0 3 3 3 3 3 3 6 6 6 6 6 9 9 9 9 9 9]'; y = [0 2 4 6 8 0 1 3 5 7 8 0 2 4 6 8 0 1 3 5 7 8]'; DT = delaunayTriangulation(x,y); T = DT.ConnectivityList;
Add elevations to the triangulation to create a surface and plot the surface.
z = [0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0]'; trisurf(T,x,y,z,'FaceColor','cyan') axis equal
Create a new triangulation on the elevated surface, and compute and plot its feature edges using a filter angle of .
TR = triangulation(T,x,y,z); F = featureEdges(TR,pi/6)'; plot3(x(F),y(F),z(F),'k','LineWidth',1.5); axis equal
Input Arguments
TR
— Triangulation representation
scalar triangulation object
Triangulation representation for 2-D triangulations only, specified as a
scalar triangulation
or delaunayTriangulation
object.
Data Types: triangulation
| delaunayTriangulation
theta
— Filter angle
scalar
Filter angle in radians, specified as a scalar in the range [0,π].
featureEdges
returns adjacent triangles that have a
dihedral angle that deviates from π by an angle greater than
theta
.
Data Types: double
More About
Feature Edge
A feature edge is a triangulation edge that has any of the following attributes:
The edge belongs to only one triangle.
The edge is shared by more than two triangles.
The edge is shared by a pair of triangles with angular deviation greater than the angle
theta
.
F
is a two-column matrix whose rows correspond to a feature
edge. The first element of each row is the identification number of the starting
edge vertex, and the second element is the identification number of the ending edge
vertex. A vertex identification is the row number of the corresponding vertex in the
Points
property.
Extended Capabilities
Thread-Based Environment
Run code in the background using MATLAB® backgroundPool
or accelerate code with Parallel Computing Toolbox™ ThreadPool
.
Version History
Introduced in R2013a
See Also
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