erode.hexbin

Erosion of a Hexagon Count Image

This erosion algorithm removes counts from hexagon cells at a rate proportional to the cells' exposed surface area. When a cell becomes empty, algorithm removes the emptied cell and notes the removal order. Cell removal increases the exposure of any neighboring cells. The last cell removed is a type of bivariate median.

Usage

erode(hbin, cdfcut = 0.5)
erode.hexbin(hbin, cdfcut = 0.5)

Details

The algorithm extracts high count cells with containing a given fraction (cdfcut) of the total counts. The algorithm extracts all cells if cdfcut=0. The algorithm performs gray-level erosion on the extracted cells. Each erosion cycle removes counts from cells. The counts removed for each cell are a multiple of the cell's exposed-face count. The algorithm choses the multiple so at least one cell will be empty or have a count deficit on each erosion cycle. The erode vector contain an erosion number for each cell. The value of erode is

6*erosion_cycle_ at_ cell_ removal - cell_deficit_at_removal

Cells with low values are eroded first. The cell with the highest erosion number is a candidate bivariate median. A few ties in erode are common.

See Also

hexbin, smooth.hexbin, hcell2xy, gplot.hexbin, grid.hexagons, grid.hexlegend

Aliases

• erode
• erode.hexbin
• erode,hexbin-method
• erodebin-class

Examples

set.seed(153)
x <- rnorm(10000)
y <- rnorm(10000)
bin <- hexbin(x,y)

smbin  <- smooth.hexbin(bin)
erodebin <- erode.hexbin(smbin, cdfcut=.5)
plot(erodebin)

## bivariate boxplot
hboxplot(erodebin, main = "hboxplot(erodebin)")# show erosion order
plot(bin,style= "lat", minarea=1, maxarea=1,
     legend=FALSE, border=gray(.7))grid.hexagons(erodebin,style= "lat", minarea=1, maxarea=1,pen="green")
xy <- hcell2xy(erodebin)
grid.text(lab = as.character(erodebin@erode), xy$x, xy$y,
          gp = gpar(col="white", cex=0.65))