On 02/02/15 16:26, p_connolly wrote:

Just what is meant by dummy points as referred to by the help for the
deldir() function?  I understood they indicated the boundary beyond
which triangulation would cease.

I thought I would need the x/y elements (as described in the help file
at the end of the description of the use of the dpl argument) to
describe ad hoc dummy points as way to define a polygon or two as a
boundary.  However, it gives this error:

Error in xd[-drop] : only 0's may be mixed with negative subscripts

Something internal is doing the negative subscripting.
I tried ndx/ndy instead of x/y but it evidently refers only to a
rectangle so not what I need.

Am I barking up the wrong tree altogether?  Is the boundary defined
somewhere else entirely?  I need to get that clear before I am able to
provide
useful example code.

The dummy points have nothing to do with any "boundary". In fact they have nothing much to do with anything, really! :-) They are a hangover from the original purpose of deldir which was to assist in a numerical integration needed for the maximum likelihood estimation of the intensity function of an inhomogeneous Poisson process. I really should get rid of them, but that would require a bit of work and re-writing of code and help files, and they do no real harm so I have decided to apply the "If it ain't broke don't fix it." principle.

The deldir function creates a Delaunay triangulation/Dirichlet tessellation inside a "rectangular window" (denoted by "rw" in the argument list). This is the only boundary invoked or involved.

The function plot.tile.list() will *plot* the Dirichlet tessellation "clipped" to a specified polygon. But that is just for *plotting*. I am not sure that I really understand the idea of a "boundary beyond which the triangulation ceases". The Delaunay triangulation is a finite structure; its outer boundary is the convex hull of the set of points being triangulated. You cannot confine it to a smaller region without losing some of those points.

If you can explain what you really want to do, perhaps I can help.

cheers,

Rolf

--
Rolf Turner
Technical Editor ANZJS
Department of Statistics
University of Auckland
Phone: +64-9-373-7599 ext. 88276
Home phone: +64-9-480-4619

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