https://github.com/cran/spatstat
Tip revision: 3aca716ce2576a0dab83f08052acd47afed8ee6a authored by Adrian Baddeley on 29 February 2012, 00:00:00 UTC
version 1.25-4
version 1.25-4
Tip revision: 3aca716
tess.R
#
# tess.R
#
# support for tessellations
#
# $Revision: 1.42 $ $Date: 2011/05/18 09:20:08 $
#
tess <- function(..., xgrid=NULL, ygrid=NULL, tiles=NULL, image=NULL,
window=NULL, keepempty=FALSE) {
if(!is.null(window))
win <- as.owin(window)
else win <- NULL
isrect <- !is.null(xgrid) && !is.null(ygrid)
istiled <- !is.null(tiles)
isimage <- !is.null(image)
if(isrect + istiled + isimage != 1)
stop("Must specify either (xgrid, ygrid) or tiles or img")
if(isrect) {
stopifnot(is.numeric(xgrid) && all(diff(xgrid) > 0))
stopifnot(is.numeric(ygrid) && all(diff(ygrid) > 0))
if(is.null(win)) win <- owin(range(xgrid), range(ygrid))
ntiles <- (length(xgrid)-1) * (length(ygrid)-1)
out <- list(type="rect", window=win, xgrid=xgrid, ygrid=ygrid, n=ntiles)
} else if(istiled) {
stopifnot(is.list(tiles))
if(!all(unlist(lapply(tiles, is.owin))))
stop("tiles must be a list of owin objects")
if(!keepempty) {
# remove empty tiles
isempty <- unlist(lapply(tiles, is.empty))
if(all(isempty))
stop("All tiles are empty")
if(any(isempty))
tiles <- tiles[!isempty]
}
ntiles <- length(tiles)
nam <- names(tiles)
lev <- if(!is.null(nam) && all(nzchar(nam))) nam else 1:ntiles
if(is.null(win)) {
for(i in 1:ntiles) {
if(i == 1)
win <- tiles[[1]]
else
win <- union.owin(win, tiles[[i]])
}
}
ismask <- function(x) {x$type == "mask"}
if(ismask(win) || any(unlist(lapply(tiles, ismask)))) {
# convert to pixel image tessellation
win <- as.mask(win)
ima <- as.im(win)
ima$v[] <- NA
for(i in 1:ntiles)
ima[tiles[[i]]] <- i
ima <- ima[win, drop=FALSE]
ima <- eval.im(factor(ima, levels=1:ntiles))
levels(ima) <- lev
out <- list(type="image",
window=win, image=ima, n=length(lev))
} else {
# tile list
win <- rescue.rectangle(win)
out <- list(type="tiled", window=win, tiles=tiles, n=length(tiles))
}
} else if(isimage) {
# convert to factor valued image
image <- as.im(image)
switch(image$type,
logical={
# convert to factor
if(keepempty)
image <- eval.im(factor(image, levels=c(FALSE,TRUE)))
else
image <- eval.im(factor(image))
},
factor={
# eradicate unused levels
if(!keepempty)
image <- eval.im(factor(image))
},
{
# convert to factor
image <- eval.im(factor(image))
})
if(is.null(win)) win <- as.owin(image)
out <- list(type="image", window=win, image=image, n=length(levels(image)))
} else stop("Internal error: unrecognised format")
class(out) <- c("tess", class(out))
return(out)
}
is.tess <- function(x) { inherits(x, "tess") }
print.tess <- function(x, ..., brief=FALSE) {
full <- !brief
if(full) cat("Tessellation\n")
win <- x$window
switch(x$type,
rect={
if(full) {
unitinfo <- summary(unitname(win))
equispaced <- function(z) {
dz <- diff(z)
diff(range(dz))/mean(dz) < 0.01
}
if(equispaced(x$xgrid) && equispaced(x$ygrid))
cat(paste("Tiles are equal rectangles, of dimension",
signif(mean(diff(x$xgrid)), 5),
"x",
signif(mean(diff(x$ygrid)), 5),
unitinfo$plural, " ", unitinfo$explain,
"\n"))
else
cat(paste("Tiles are unequal rectangles\n"))
}
cat(paste(length(x$xgrid)-1, "by", length(x$ygrid)-1,
"grid of tiles", "\n"))
},
tiled={
if(full) {
if(win$type == "polygonal")
cat("Tiles are irregular polygons\n")
else
cat("Tiles are windows of general type\n")
}
cat(paste(length(x$tiles), "tiles (irregular windows)\n"))
},
image={
nlev <- length(levels(x$image))
if(full) {
cat(paste("Tessellation is determined by",
"a factor-valued image",
"with", nlev, "levels\n"))
} else cat(paste(nlev, "tiles (levels of a pixel image)\n"))
})
if(full) print(win)
invisible(NULL)
}
plot.tess <- function(x, ..., main, add=FALSE, col=NULL) {
xname <- deparse(substitute(x))
if(missing(main))
main <- xname
switch(x$type,
rect={
win <- x$window
if(!add)
do.call.matched("plot.owin",
resolve.defaults(list(x=win, main=main),
list(...)),
extrargs=c("sub", "lty", "lwd"))
xg <- x$xgrid
yg <- x$ygrid
do.call.matched("segments",
resolve.defaults(list(x0=xg, y0=win$yrange[1],
x1=xg, y1=win$yrange[2]),
list(col=col),
list(...),
.StripNull=TRUE))
do.call.matched("segments",
resolve.defaults(list(x0=win$xrange[1], y0=yg,
x1=win$xrange[2], y1=yg),
list(col=col),
list(...),
.StripNull=TRUE))
},
tiled={
if(!add)
do.call.matched("plot.owin",
resolve.defaults(list(x=x$window, main=main),
list(...)))
til <- tiles(x)
plotem <- function(z, ..., col=NULL) {
if(is.null(col))
plot(z, ..., add=TRUE)
else if(z$type != "mask")
plot(z, ..., border=col, add=TRUE)
else plot(z, ..., col=col, add=TRUE)
}
lapply(til, plotem, ..., col=col)
},
image={
plot(x$image, main=main, ..., add=add)
})
return(invisible(NULL))
}
"[<-.tess" <- function(x, ..., value) {
switch(x$type,
rect=,
tiled={
til <- tiles(x)
til[...] <- value
ok <- !unlist(lapply(til, is.null))
x <- tess(tiles=til[ok])
},
image={
stop("Cannot assign new values to subsets of a pixel image")
})
return(x)
}
"[.tess" <- function(x, ...) {
switch(x$type,
rect=,
tiled={
til <- tiles(x)[...]
return(tess(tiles=til))
},
image={
img <- x$image
oldlev <- levels(img)
newlev <- unique(oldlev[...])
img <- eval.im(factor(ifelse(img %in% newlev, img, NA)))
levels(img) <- newlev
return(tess(image=img))
})
}
tiles <- function(x) {
switch(x$type,
rect={
out <- list()
xg <- x$xgrid
yg <- x$ygrid
nx <- length(xg) - 1
ny <- length(yg) - 1
for(j in rev(seq_len(ny)))
for(i in seq_len(nx)) {
winij <- owin(xg[c(i,i+1)], yg[c(j,j+1)])
dout <- list(winij)
names(dout) <- paste("Tile row ", ny-j+1, ", col ", i,
sep="")
out <- append(out, dout)
}
},
tiled={
out <- x$tiles
if(is.null(names(out)))
names(out) <- paste("Tile", seq_along(out))
},
image={
out <- list()
ima <- x$image
lev <- levels(ima)
for(i in seq_along(lev))
out[[i]] <- solutionset(ima == lev[i])
names(out) <- paste(lev)
})
out <- as.listof(out)
return(out)
}
tilenames <- function(x) {
stopifnot(is.tess(x))
switch(x$type,
rect={
nx <- length(x$xgrid) - 1
ny <- length(x$ygrid) - 1
nam <- outer(rev(seq_len(ny)),
seq_len(nx),
function(j,i,ny) {
paste("Tile row ", ny-j+1, ", col ", i,
sep="")},
ny=ny)
return(nam)
},
tiled={
til <- x$tiles
if(!is.null(names(til)))
nam <- names(til)
else
nam <- paste("Tile", seq_along(til))
},
image={
ima <- x$image
lev <- levels(ima)
nam <- paste(lev)
})
return(nam)
}
tile.areas <- function(x) {
stopifnot(is.tess(x))
switch(x$type,
rect={
xg <- x$xgrid
yg <- x$ygrid
nx <- length(xg) - 1
ny <- length(yg) - 1
a <- outer(rev(diff(yg)), diff(xg), "*")
a <- as.vector(t(a))
names(a) <- as.vector(t(tilenames(x)))
},
tiled={
a <- lapply(x$tiles, area.owin)
},
image={
z <- x$image
a <- table(z$v) * z$xstep * z$ystep
})
return(a)
}
as.im.tess <- function(X, W=NULL, ...,
eps=NULL, dimyx=NULL, xy=NULL,
na.replace=NULL) {
# if W is present, it may have to be converted
if(!is.null(W)) {
stopifnot(is.owin(W))
if(W$type != "mask")
W <- as.mask(W, eps=eps, dimyx=dimyx, xy=xy)
}
switch(X$type,
image={
out <- as.im(X$image, W=W, eps=eps, dimyx=dimyx, xy=xy,
na.replace=na.replace)
},
tiled={
if(is.null(W))
W <- as.mask(as.owin(X), eps=eps, dimyx=dimyx, xy=xy)
til <- X$tiles
ntil <- length(til)
nama <- names(til)
if(is.null(nama) || !all(nzchar(nama)))
nama <- paste(seq_len(ntil))
xy <- list(x=W$xcol, y=W$yrow)
for(i in seq_len(ntil)) {
indic <- as.mask(til[[i]], xy=xy)
tag <- as.im(indic, value=i)
if(i == 1) {
out <- tag
outv <- out$v
} else {
outv <- pmin(outv, tag$v, na.rm=TRUE)
}
}
out <- im(factor(outv, levels=nama),
out$xcol, out$yrow)
unitname(out) <- unitname(W)
},
rect={
if(is.null(W))
out <- as.im(as.rectangle(X), eps=eps, dimyx=dimyx, xy=xy)
else
out <- as.im(W)
xg <- X$xgrid
yg <- X$ygrid
nrows <- length(yg) - 1
ncols <- length(xg) - 1
jx <- findInterval(out$xcol, xg, rightmost.closed=TRUE)
iy <- findInterval(out$yrow, yg, rightmost.closed=TRUE)
M <- as.matrix(out)
Jcol <- jx[col(M)]
Irow <- nrows - iy[row(M)] + 1
Ktile <- Jcol + ncols * (Irow - 1)
Ktile <- factor(Ktile, levels=seq_len(nrows * ncols))
out <- im(Ktile, xcol=out$xcol, yrow=out$yrow,
unitname=unitname(W))
}
)
return(out)
}
as.tess <- function(X) {
UseMethod("as.tess")
}
as.tess.tess <- function(X) {
fields <-
switch(X$type,
rect={ c("xgrid", "ygrid") },
tiled={ "tiles" },
image={ "image" },
stop(paste("Unrecognised tessellation type", sQuote(X$type))))
fields <- c(c("type", "window"), fields)
X <- unclass(X)[fields]
class(X) <- c("tess", class(X))
return(X)
}
as.tess.im <- function(X) {
return(tess(image = X))
}
as.tess.quadratcount <- function(X) {
return(attr(X, "tess"))
}
as.tess.quadrattest <- function(X) {
Y <- attr(X, "quadratcount")
Z <- attr(Y, "tess")
return(Z)
}
as.tess.list <- function(X) {
W <- lapply(X, as.owin)
return(tess(tiles=W))
}
as.tess.owin <- function(X) {
return(tess(tiles=list(X)))
}
intersect.tess <- function(X, Y, ...) {
X <- as.tess(X)
if(is.owin(Y) && Y$type == "mask") {
# special case
# convert to pixel image
result <- as.im(Y)
Xtiles <- tiles(X)
for(i in seq_along(Xtiles)) {
tilei <- Xtiles[[i]]
result[tilei] <- i
}
result <- result[Y, drop=FALSE]
return(tess(image=result, window=Y))
}
Y <- as.tess(Y)
Xtiles <- tiles(X)
Ytiles <- tiles(Y)
Ztiles <- list()
for(i in seq_along(Xtiles))
for(j in seq_along(Ytiles)) {
Tij <- intersect.owin(Xtiles[[i]], Ytiles[[j]], ..., fatal=FALSE)
if(!is.null(Tij) && !is.empty(Tij))
Ztiles <- append(Ztiles, list(Tij))
}
Xwin <- as.owin(X)
Ywin <- as.owin(Y)
Zwin <- intersect.owin(Xwin, Ywin)
return(tess(tiles=Ztiles, window=Zwin))
}
bdist.tiles <- function(X) {
if(!is.tess(X))
stop("X must be a tessellation")
W <- as.owin(X)
switch(X$type,
rect=,
tiled={
tt <- tiles(X)
if(is.convex(W)) {
# distance is minimised at a tile vertex
vdist <- function(x,w) {
z <- as.ppp(vertices(x), W=w)
min(bdist.points(z))
}
d <- sapply(tt, vdist, w=W)
} else {
# coerce everything to polygons
W <- as.polygonal(W)
tt <- lapply(tt, as.polygonal)
# compute min dist from tile edges to window edges
edist <- function(x,b) {
xd <- crossdist(as.psp(x), b, type="separation")
min(xd)
}
d <- sapply(tt, edist, b=as.psp(W))
}
},
image={
Xim <- X$image
# compute boundary distance for each pixel
bd <- bdist.pixels(as.owin(Xim), style="image")
bd <- bd[W, drop=FALSE]
# split over tiles
bX <- split(bd, X)
# compute minimum distance over each level of factor
d <- sapply(bX, function(z) { summary(z)$min })
}
)
return(d)
}