(Not recommended) Delaunay triangulation in 2-D and 3-D
DelaunayTri creates a Delaunay triangulation
object from a set of points. You can incrementally modify the triangulation
by adding or removing points. In 2-D triangulations you can impose
edge constraints. You can perform topological and geometric queries,
and compute the Voronoi diagram and convex hull.
The 2-D Delaunay triangulation of a set of points is the triangulation in which no point of the set is contained in the circumcircle for any triangle in the triangulation. The definition extends naturally to higher dimensions.
|DelaunayTri||(Not recommended) Construct Delaunay triangulation|
|convexHull||(Not recommended) Convex hull|
|inOutStatus||(Not recommended) Status of triangles in 2-D constrained Delaunay triangulation|
|nearestNeighbor||(Not recommended) Point closest to specified location|
|pointLocation||(Not recommended) Simplex containing specified location|
|voronoiDiagram||(Not recommended) Voronoi diagram|
|baryToCart||(Not recommended) Convert point coordinates from barycentric to Cartesian|
|cartToBary||(Not recommended) Convert point coordinates from Cartesian to barycentric|
|circumcenters||(Not recommended) Circumcenters of specified simplices|
|edgeAttachments||(Not recommended) Simplices attached to specified edges|
|edges||(Not recommended) Triangulation edges|
|faceNormals||(Not recommended) Unit normals to specified triangles|
|featureEdges||(Not recommended) Sharp edges of surface triangulation|
|freeBoundary||(Not recommended) Facets referenced by only one simplex|
|incenters||(Not recommended) Incenters of specified simplices|
|isEdge||(Not recommended) Test if vertices are joined by edge|
|neighbors||(Not recommended) Simplex neighbor information|
|size||(Not recommended) Size of triangulation matrix|
|vertexAttachments||(Not recommended) Return simplices attached to specified vertices|
The constraints can be specified when the triangulation is constructed or can be imposed afterwards by directly editing the constraints data.
This feature is only supported for 2-D triangulations.
|The dimension of |
|Triangulation is a matrix representing the set of simplices
(triangles or tetrahedra etc.) that make up the triangulation. The
matrix is of size |
DelaunayTri is a subclass of
Value. To learn how this affects your use of the class, see Comparing Handle and Value Classes in the MATLAB® Object-Oriented Programming documentation.