Extremly helpful. Thanks again.

On 07/19/2010 01:30 PM, Roger Bivand wrote:
On Mon, 19 Jul 2010, Ben Mazzotta wrote:

Thank you very much, Roger.

I was afraid that might be the answer. Once I have the new Polygon and Polygons objects, how can I merge all the slots from the old Polygon and Polygons to the new Polygon and Polygons objects? Ultimately I'd like to bring the other fields from the old object into the new one.

If they have the same IDs, no problem, just make a SpatialPolygonsDataFrame with data=as(old, "data.frame").



The context is this: I am transforming the coordinates using the cartogram() function from {Rcartogram}. The argument to cartogram() is a rectangular matrix, which contains sample densities of a statistic at regular intervals over the map. Cartogram() returns a lookup table in the form of two matrices, which specify x_new as a function of (x_old, y_old) and y_new, again as a function of (x_old, y_old). After cleaning up missing observations, I can interpolate new coordinates for every pair of old coordinates.

Therefore, I'd like to create a new version of the world map by transforming every pair of coordinates in the original polygon.

Firstly, the input is a planar grid of values of a variable, so the queries on the two output grids need to accommodate the loss of resolution implied there. Try on something simple first. If you can get a wrapper around cartogram() to take a SpatialPolygonsDataFrame, make a grid from it for the chosen variable (including NA handling), then do cartogram, followed by interpolation for Polygons object by Polygons object (remember objects may be multiple Polygon objects, and may have holes), you may be able to get there. Constructing the output objects from computed coordinates looks like the least of your challenges.

Good luck!

Roger









On 07/19/2010 12:09 PM, Roger Bivand wrote:
On Mon, 19 Jul 2010, Ben Mazzotta wrote:

Dear R geographers:

I'm able to replace the coordinates of any given polygon, but not construct apply() family commands or for() loops to accomplish the same task. How can I construct a simple loop or apply() command that will sequentially replace all of the coordinates in a SpatialPolygons object?

Just build lists of new Polygon then Polygons objects, and build a new SpatialPolygons at the end. I don't think that you'll see big memory problems, and the approach you propose will probably have poor timings, because the containing objects will probably be rebuilt for each update.

Are you looking for the elide() method for SpatialPolygons in maptools? Do you need an extra operation added to it?

Roger



As far as I understand, the coordinates of a polygon are kept in a slot referred as follows:
m...@polygons[[x]]@polygons[[...@coords

Using which, I can create mapply(foo, indexp, indexP) commands to extract the original coordinates and transform them.

# Define a pair of vectors indexp, indexP that together index every Polyon in the SpatialPolygons object map.
# Then extract coordinates as follows:
coords <- function(x,y) {...@polygons[[indexp]]@polygons[[index...@coords}
# Or operate a function foo on the old coordinates
coords.alt <- mapply(foo, m...@polygons[[indexp]]@polygons[[index...@coords[,1], m...@polygons[[indexp]]@polygons[[index...@coords[,2])

So I can create lists and matrices of coordinates, and transform the coordinates.

It is possible to write a command that replaces coordinates using integers; but these commands fail when I attempt to use mapply() to replace existing coordinates. For example,

p...@polygons[[1]]@polygons[[...@coords <- foo(1,1)

will work fine, but the following will not.

newcoords <- function(indp, indP) {
   p...@polygons[[indp]]@polygons[[ind...@coords <- foo(indp, indP)
   }
mapply(newcoords, indexp, indexP)


Have I missed something in the manual on coordinates that would enable me to transform the coordinates of all the Polygons in a SpatialPolygonsDataFrame according to some regular function of the old coordinates (x,y)? Is the only alternative to build a new SpatialPolygons data frame from scratch, beginning with the new coordinates?

If it would be useful, I can provide sample code that works on wrld_simpl.

Please advise. Thank you!








--
Ben Mazzotta, PhD Candidate
The Fletcher School, Tufts University
benjamin.mazzo...@tufts.edu

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