# ComputationalGeometry`

As of Version 10, all the functionality of the ComputationalGeometry package is built into the Wolfram System.

ComputationalGeometry contains a number of functions that are useful for geometry applications. A native implementation of this functionality has been added to the Wolfram System.

A region in the ComputationalGeometry package is specified by a list of points {{x1,y1},{x2,y2},}. In the Wolfram System, MeshRegion yields a region specified by a collection of mesh cells with coordinates {{x1,y1},{x2,y2},}. This mesh object displays in a notebook as a plot of the mesh and can be manipulated via functions. See the Geometric Computation guide for an overview of the Wolfram System functionality. In:= Out= In:= Out= The complete list of ComputationalGeometry functions and the corresponding equivalent functions in the Wolfram System are shown below.

 ComputationalGeometry Built–in Wolfram Language function BoundedDiagram[{b1,b2,…},{p1,…}] VoronoiMesh[{p1,p2,…},{b1,b2,…}] ConvexHull[{p1,p2,…}] ConvexHullMesh[{p1,p2,…}] ConvexHullArea[{p1,p2,…}] Area[reg] ConvexHullMedian[{p1,p2,…}] Mean[MeshCoordinates[reg]] DelaunayTriangulation[{p1,p2,…}] DelaunayMesh[{p1,p2,…}] DiagramPlot[{p1,p2,…}] VoronoiMesh[{p1,p2,…}] PlanarGraphPlot[{p1,p2,…}] DelaunayMesh[{p1,p2,…}] Ray[p1,p2] InfiniteLine[{p1,p2}] TileAreas[{p1,p2,…}] Area[reg] TriangularSurfacePlot[{p1,p2,…}] DelaunayMesh[{p1,p2,…}] VoronoiDiagram[{p1,p2,…}] VoronoiMesh[{p1,p2,…}]

See the Geometric Computation guide for an overview of the Wolfram System functionality.

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