circular filter
filter.matrix.center implements Manhattan or L 1 distance.
If you want to define neighbor points
by Euklidean distances (L 2) use filter.matrix.center(p=2):
filter.matrix.center.p <- function(n=9,size=5,p=2){
x<-matrix(1,n,n)
center<-(n+1)/2
(abs(row(x)-center)^p+abs(col(x)-center)^p)^(1/p) < size
}
example:
> 0+filter.matrix.center.p(9,4.1)
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9]
[1,] 0 0 0 0 1 0 0 0 0
[2,] 0 0 1 1 1 1 1 0 0
[3,] 0 1 1 1 1 1 1 1 0
[4,] 0 1 1 1 1 1 1 1 0
[5,] 1 1 1 1 1 1 1 1 1
[6,] 0 1 1 1 1 1 1 1 0
[7,] 0 1 1 1 1 1 1 1 0
[8,] 0 0 1 1 1 1 1 0 0
[9,] 0 0 0 0 1 0 0 0 0
Peter Wolf
--------------------------------------------------
Peter Wolf wrote:
try:
filter.matrix.center<-function(n=9,size=5){
x<-matrix(1,n,n)
center<-(n+1)/2
(abs(row(x)-center)+abs(col(x)-center)) < size
}
filter.matrix.center()
some tests:
0+filter.matrix.center(5,2)
[,1] [,2] [,3] [,4] [,5] [1,] 0 0 0 0 0 [2,] 0 0 1 0 0 [3,] 0 1 1 1 0 [4,] 0 0 1 0 0 [5,] 0 0 0 0 0
0+filter.matrix.center()
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [1,] 0 0 0 0 1 0 0 0 0 [2,] 0 0 0 1 1 1 0 0 0 [3,] 0 0 1 1 1 1 1 0 0 [4,] 0 1 1 1 1 1 1 1 0 [5,] 1 1 1 1 1 1 1 1 1 [6,] 0 1 1 1 1 1 1 1 0 [7,] 0 0 1 1 1 1 1 0 0 [8,] 0 0 0 1 1 1 0 0 0 [9,] 0 0 0 0 1 0 0 0 0 Peter Wolf -------------------------------------------------------------------------------------------------------- Christof Bigler wrote: I try to find a circular filter that I can export to be used in a spatial software. Assuming, we have a matrix, representing 9x9 regularly spaced points with the center point 'filter[5, 5]'. In this example, I want to find a function that weighs all neighbor points within a distance of d=4 units with 1:
filter <- matrix(0, 9, 9) filter <- function() ... filter
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [1,] 0 0 0 0 1 0 0 0 0 [2,] 0 0 1 1 1 1 1 0 0 [3,] 0 1 1 1 1 1 1 1 0 [4,] 0 1 1 1 1 1 1 1 0 [5,] 1 1 1 1 1 1 1 1 1 [6,] 0 1 1 1 1 1 1 1 0 [7,] 0 1 1 1 1 1 1 1 0 [8,] 0 0 1 1 1 1 1 0 0 [9,] 0 0 0 0 1 0 0 0 0 Finally, I want to use a larger matrix, e.g. with 61x61 points. Is there a simple function around that I could use to this end? Thanks! Christof
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