Skip to contents

Generate contour lines (isolines) and contour polygons (isobands) from regularly spaced grids containing elevation data. Package originally written by Claus Wilke and donated to r-lib in 2022.

Installation

Install the latest official release from CRAN via:

install.packages("isoband")

Install the current development from github via:

# install.packages("pak")
pak::pak("r-lib/isoband")

Examples

The two main workhorses of the package are the functions isolines() and isobands(), respectively. They return a list of isolines/isobands for each isolevel specified. Each isoline/isoband consists of vectors of x and y coordinates, as well as a vector of ids specifying which sets of coordinates should be connected. This format can be handed directly to grid.polyline()/grid.path() for drawing. However, we can also convert the output to spatial features and draw with ggplot2 (see below).

library(isoband)

m <- matrix(c(0, 0, 0, 0, 0,
              0, 1, 2, 1, 0,
              0, 1, 2, 0, 0,
              0, 1, 0, 1, 0,
              0, 0, 0, 0, 0), 5, 5, byrow = TRUE)

isolines(1:ncol(m), 1:nrow(m), m, 0.5)
#> $`0.5`
#> $`0.5`$x
#>  [1] 4.00 3.50 3.00 2.50 2.00 1.50 1.50 1.50 2.00 3.00 4.00 4.50 4.00 3.75 4.00
#> [16] 4.50 4.00
#> 
#> $`0.5`$y
#>  [1] 4.50 4.00 3.75 4.00 4.50 4.00 3.00 2.00 1.50 1.25 1.50 2.00 2.50 3.00 3.50
#> [16] 4.00 4.50
#> 
#> $`0.5`$id
#>  [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
#> 
#> 
#> attr(,"class")
#> [1] "isolines" "iso"

isobands(1:ncol(m), 1:nrow(m), m, 0.5, 1.5)
#> $`0.5:1.5`
#> $`0.5:1.5`$x
#>  [1] 2.50 2.00 1.50 1.50 1.50 2.00 3.00 4.00 4.50 4.00 3.75 4.00 4.50 4.00 3.50
#> [16] 3.00 3.00 3.25 3.50 3.00 2.50 2.50
#> 
#> $`0.5:1.5`$y
#>  [1] 4.00 4.50 4.00 3.00 2.00 1.50 1.25 1.50 2.00 2.50 3.00 3.50 4.00 4.50 4.00
#> [16] 3.75 3.25 3.00 2.00 1.75 2.00 3.00
#> 
#> $`0.5:1.5`$id
#>  [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2
#> 
#> 
#> attr(,"class")
#> [1] "isobands" "iso"

The function plot_iso() is a convenience function for debugging and testing.

plot_iso(m, 0.5, 1.5)

The isolining and isobanding algorithms have no problem with larger datasets. Let’s calculate isolines and isobands for the volcano dataset, convert to sf, and plot with ggplot2.

library(ggplot2)
suppressWarnings(library(sf))
#> Linking to GEOS 3.10.2, GDAL 3.4.2, PROJ 8.2.1; sf_use_s2() is TRUE

m <- volcano
b <- isobands((1:ncol(m))/(ncol(m)+1), (nrow(m):1)/(nrow(m)+1), m, 10*(9:19), 10*(10:20))
l <- isolines((1:ncol(m))/(ncol(m)+1), (nrow(m):1)/(nrow(m)+1), m, 10*(10:19))

bands <- iso_to_sfg(b)
data_bands <- st_sf(
  level = 1:length(bands),
  geometry = st_sfc(bands)
)
lines <- iso_to_sfg(l)
data_lines <- st_sf(
  level = 2:(length(lines)+1),
  geometry = st_sfc(lines)
)

ggplot() +
  geom_sf(data = data_bands, aes(fill = level), color = NA, alpha = 0.7) +
  geom_sf(data = data_lines, color = "black") +
  scale_fill_viridis_c(guide = "none") +
  coord_sf(expand = FALSE)