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DelaunayMesh—Wolfram Language Documentation

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• See Also
  • VoronoiMesh
  • ConvexHullMesh
  • ConcaveHullMesh
  • TriangulateMesh
  • MeshRegion
  • Simplex
  • Circumsphere
• Related Guides
  • Mesh-Based Geometric Regions
  • Geometric Computation
  • Spatial Point Collections

A 1D Delaunay mesh:

A 2D Delaunay mesh from a list of points:

A 3D Delaunay mesh from a list of points:

Delaunay mesh from points corresponding to minimal vectors of the hexagonal close packing lattice:

Create a 1D Delaunay mesh from a set of points:

Basic properties:

Delaunay meshes are full dimensional:

Delaunay meshes are bounded:

Find its measure and centroid:

Find nearest distance and nearest point:

Create a 2D Delaunay mesh from a set of points:

Basic properties:

Delaunay meshes are full dimensional:

Delaunay meshes are bounded:

Find its area and centroid:

Test for point membership or distance to the closest point in the region:

Create a 3D Delaunay mesh from a set of points:

Basic properties:

Delaunay meshes are full dimensional:

Delaunay meshes are bounded:

Find its area and centroid:

Test for point membership or distance to the closest point in the region:

MeshCellHighlight allows you to specify highlighting for parts of a DelaunayMesh:

Individual cells can be highlighted using their cell index:

Or by the cell itself:

MeshCellLabel can be used to label parts of a DelaunayMesh:

Individual cells can be labeled using their cell index:

Or by the cell itself:

MeshCellStyle allows you to specify styling for parts of a DelaunayMesh:

Individual cells can be highlighted using their cell index:

Or by the cell itself:

Use a theme with grid lines and a legend:

Use a theme to draw a wireframe:

Generate lattice points of a 3D lattice basis:

Construct and visualize the mesh region:

Construct a 3D region from a point set:

Compare original region to Delaunay mesh:

Visualize the piecewise constant interpolation of city elevations in Colorado:

Voronoi mesh from city coordinates:

Create a function to map a given coordinate pair to the nearest known elevation:

Function to rescale elevation values to , suitable for color functions:

Piecewise constant contour plot of city elevations:

A similar plot can also be achieved with ListContourPlot:

Solve a PDE over a region defined by point set:

Create a mesh from selected points on a raster:

Initial locator points:

Function to convert a raster and a mesh region to polygons:

Function to create an overlay mesh:

Click the image to add and remove draggable vertices:

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