Reputation: 95
I was wondering if there was a function that scales down matrices in R statistical software exactly like with image resizing. The function imresize()
in MATLAB is exactly what I'm looking for (I believe it takes the average of the surrounding points, but I am not sure of this), but I am wondering if there is an R equivalent for this function.
This question has been posted before on this forum, but with reference to MATLAB, not R:
Matlab "Scale Down" a Vector with Averages
The post starting with "Any reason why you can't use the imresize()
function?" is exactly what I am looking for, but in R, not MATLAB.
Say I have a latitude-longitude grid of temperatures around the world, and let's say this is represented by a 64*128 matrix of temperatures. Now let's say I would like to have the same data contained in a new matrix, but I would like to rescale my grid to make it a 71*114 matrix of temperatures around the world. A function that would allow me to do so is what I'm looking for (again, the imresize() function, but in R, not MATLAB)
Thank you. Steve
Upvotes: 9
Views: 9346
Reputation: 903
The answer posted by Josh O'Brien is OK and it helped me (for starting point), but this approach was too slow since I had huge list of data. The method below is good alternative. It uses fields
and works much faster.
rescale <- function(x, newrange=range(x)){
xrange <- range(x)
mfac <- (newrange[2]-newrange[1])/(xrange[2]-xrange[1])
newrange[1]+(x-xrange[1])*mfac
}
ResizeMat <- function(mat, ndim=dim(mat)){
if(!require(fields)) stop("`fields` required.")
# input object
odim <- dim(mat)
obj <- list(x= 1:odim[1], y=1:odim[2], z= mat)
# output object
ans <- matrix(NA, nrow=ndim[1], ncol=ndim[2])
ndim <- dim(ans)
# rescaling
ncord <- as.matrix(expand.grid(seq_len(ndim[1]), seq_len(ndim[2])))
loc <- ncord
loc[,1] = rescale(ncord[,1], c(1,odim[1]))
loc[,2] = rescale(ncord[,2], c(1,odim[2]))
# interpolation
ans[ncord] <- interp.surface(obj, loc)
ans
}
## Original data (4x4)
rr <- matrix(1:16, ncol=4, nrow=4)
ss <- ResizeMat(rr, c(5,5))
tt <- ResizeMat(rr, c(3,3))
## Plot for comparison
par(mfcol=c(2,2), mar=c(1,1,2,1))
image(rr, main="original data", axes=FALSE)
image(ss, main="resampled to 5-by-5", axes=FALSE)
image(tt, main="resampled to 3-by-3", axes=FALSE)
Upvotes: 6
Reputation: 162321
One way to do this is by using the function resample()
, from the raster
package.
I'll first show how you could use it to rescale your grid, and then give an easier-to-inspect example of its application to smaller raster objects
resample()
to resize matriceslibrary(raster)
m <- matrix(seq_len(68*128), nrow=68, ncol=128, byrow=TRUE)
## Convert matrix to a raster with geographical coordinates
r <- raster(m)
extent(r) <- extent(c(-180, 180, -90, 90))
## Create a raster with the desired dimensions, and resample into it
s <- raster(nrow=71, ncol=114)
s <- resample(r,s)
## Convert resampled raster back to a matrix
m2 <- as.matrix(s)
resample()
does what you'd like:library(raster)
## Original data (4x4)
rr <- raster(ncol=4, nrow=4)
rr[] <- 1:16
## Resize to 5x5
ss <- raster(ncol=5, nrow=5)
ss <- resample(rr, ss)
## Resize to 3x3
tt <- raster(ncol=3, nrow=3)
tt <- resample(rr, tt)
## Plot for comparison
par(mfcol=c(2,2))
plot(rr, main="original data")
plot(ss, main="resampled to 5-by-5")
plot(tt, main="resampled to 3-by-3")
Upvotes: 12