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Note: DelaunayTri will be removed in a future release. Use delaunayTriangulation instead. |
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.
convexHull | (Will be removed) Convex hull |
inOutStatus | (Will be removed) Status of triangles in 2-D constrained Delaunay triangulation |
nearestNeighbor | (Will be removed) Point closest to specified location |
pointLocation | (Will be removed) Simplex containing specified location |
voronoiDiagram | (Will be removed) Voronoi diagram |
baryToCart | (Will be removed) Convert point coordinates from barycentric to Cartesian |
cartToBary | (Will be removed) Convert point coordinates from cartesian to barycentric |
circumcenters | (Will be removed) Circumcenters of specified simplices |
edgeAttachments | (Will be removed) Simplices attached to specified edges |
edges | (Will be removed) Triangulation edges |
faceNormals | (Will be removed) Unit normals to specified triangles |
featureEdges | (Will be removed) Sharp edges of surface triangulation |
freeBoundary | (Will be removed) Facets referenced by only one simplex |
incenters | (Will be removed) Incenters of specified simplices |
isEdge | (Will be removed) Test if vertices are joined by edge |
neighbors | (Will be removed) Simplex neighbor information |
size | (Will be removed) Size of triangulation matrix |
vertexAttachments | (Will be removed) Return simplices attached to specified vertices |
Constraints | Constraints is a numc-by-2 matrix that defines the constrained edge data in the triangulation, where numc is the number of constrained edges. Each constrained edge is defined in terms of its endpoint indices into X. 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. |
X | The dimension of X is mpts-by-ndim, where mpts is the number of points and ndim is the dimension of the space where the points reside. If column vectors of x,y or x,y,z coordinates are used to construct the triangulation, the data is consolidated into a single matrix X. |
Triangulation | Triangulation is a matrix representing the set of simplices (triangles or tetrahedra etc.) that make up the triangulation. The matrix is of size mtri-by-nv, where mtri is the number of simplices and nv is the number of vertices per simplex. The triangulation is represented by standard simplex-vertex format; each row specifies a simplex defined by indices into X, where X is the array of point coordinates. |
Value. To learn how this affects your use of the class, see Comparing Handle and Value Classes in the MATLAB^{®} Object-Oriented Programming documentation.
delaunayTriangulation | scatteredInterpolant | triangulation