[R] R_Calculating Thiessen weights for an area with irregular boundary

[Rolf Turner]

(1) The manner in which you presented your data was a total mess.
If you ask for help, please have the courtesy to present your data in 
such a manner that a potential "helper" can access it without needing to 
do a great deal of editing and processing.  Like so:

pts <- as.data.frame(matrix(c(415720,432795,415513,432834,415325,
                               432740,415356,432847,415374,432858,
                               415426,432774,415395,432811,415626,
                               432762),ncol=2,byrow=TRUE))
names(pts) <- c("x","y")

bdry <- as.data.frame(matrix(c(415491,432947,415269,432919,415211,
                                432776,415247,432657,415533,432657,
                                415781,432677,415795,432836,415746,
                                432937),ncol=2,byrow=TRUE))
names(bdry) <- c("x","y")

(2) Well, at least you presented a usable data set (even though the 
presentation was lousy) which is better than what most posters do.  And 
you asked a "partially" clear question.

(3) I do not know what you mean by "Thiessen weights".  I am guessing 
that these are the areas of the Dirichlet tiles (Thiessen polygons), 
intersected with the "boundary polygon" (i.e. observation window).

(4) If my guess is correct, the following should accomplish the desired 
task:

require(spatstat) # You will (probably) need to install spatstat first.
W <- owin(poly=bdry)
X <- as.ppp(pts,W=W)
plot(X) # Just to make sure it looks right.
dX <- dirichlet(X)
plot(dX) # Just to make sure .....
sapply(tiles(dX),area.owin)

HTH

cheers,

Rolf Turner


On 22/04/15 02:50, Manoranjan Muthusamy wrote:

> Hi R users,
>
> I want to calculate Thiessen weights to compute areal rainfall from number
> of point measurements. I am using R and thanks to some previous question in
> the same topic, I got to know that I can usedeldir. But the problem is my
> boundary polygon is not a rectangle; it's an irregular polygon (it's a
> catchment boundary derived using ArcGIS). But in deldir the boundary can
> only be a rectangle. Are there any other packages where I can calculate
> Thiessen weights of an area covered by an irregular boundary?
>
> Given below are my measurement points (meas_points) and coordinates of a
> (simplified) boundary polygon(boundary)
>
>> meas_points
>            X      Y[1,] 415720 432795[2,] 415513 432834[3,] 415325
> 432740[4,] 415356 432847[5,] 415374 432858[6,] 415426 432774[7,]
> 415395 432811[8,] 415626 432762
>> boundary
>            x      y[1,] 415491 432947[2,] 415269 432919[3,] 415211
> 432776[4,] 415247 432657[5,] 415533 432657[6,] 415781 432677[7,]
> 415795 432836[8,] 415746 432937
>
> Any help is really appreciated. Thanks.


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