R: Semi-infinite edge of the Voronoi diagram

dummycoor {alphahull} | R Documentation

## Semi-infinite edge of the Voronoi diagram

### Description

This function determines fictitious coordinates for the boundless extreme of a semi-infinite edge of the Voronoi diagram.

### Usage

    dummycoor(tri.obj, l1, l2, m, away)

### Arguments

`tri.obj` | Object of class `"tri"`. See `tri.mesh` in package tripack.
`l1` | Index of the sample point correponding to one vertex of a triangle of Delaunay that lies on the convex hull, see Details.
`l2` | Index of the sample point correponding to other vertex of a triangle of Delaunay that lies on the convex hull, see Details.
`m` | Index of the circumcenter of the triangle of Delaunay with one edge on the convex hull.
`away` | Constant that determines how far away the fictitious boundless extreme is located.

### Details

When a triangle of the Delaunay triangulation has one of its edges (given by the segment that joins the sample points with indexes `l1` and `l2`) on the convex hull, the corresponding segment of the Voronoi diagram is semi-infinite. The finite extreme coincides with the circumcenter of the triangle and the direction of the line is given by the perpendicular bisector of the edge that lies on the convex hull.

### Value

`dum` | Fictitious coordinates of the boundless extreme.

### See Also

`delvor`.

[Package alphahull version 2.2 Index]