A collection of functions for sampling and simulating 3D surfaces and objects and estimating metrics like rugosity, fractal dimension, convexity, sphericity, circularity, second moments of area and volume, and more.
A CRAN version of habtools
is forthcoming. You can also install the development version from GitHub with:
There are vignettes demonstrating the use of habtools
for digital elevation models (DEMs) and 3D meshes, as well as a vignette covering fractal dimension methods.
There are currently two data sets accompanying this package. horseshoe
is a DEM of a coral reef in RasterLayer format, and mcap
is a 3D mesh of a coral growing on a reef in mesh3d format.
The following example calculates height range, rugosity and fractal dimension of a 2 x 2 m plot of horseshoe
.
library(habtools)
library(raster)
# Let's take a subset DEM of size = 2
dem <- dem_crop(horseshoe, x0 = -465, y0 = 1265, L = 2, plot = TRUE)
# height range
hr(dem)
#> [1] 1.368289
# rugosity
rg(dem, L0 = 0.0625)
#> [1] 1.75829
# fractal dimension
fd(dem, method = "hvar", keep_data = TRUE, plot=TRUE, diagnose = TRUE)
#> $D
#> [1] 2.159332
#>
#> $data
#> l h
#> 1 0.0625 0.07207143
#> 2 0.1250 0.16465515
#> 3 0.2500 0.31394699
#> 4 0.5000 0.58224221
#> 5 1.0000 0.88901201
#> 6 2.0000 1.36828852
#>
#> $lvec
#> [1] 0.0625 0.1250 0.2500 0.5000 1.0000 2.0000
#>
#> $D_vec
#> [1] 1.808052 2.068927 2.108902 2.389417 2.377902
#>
#> $var
#> [1] 0.2420993
#>
#> $method
#> [1] "hvar"
The next example calculates height range, rugosity and fractal dimension for the coral colony mcap
. Because 3D meshes can have more than one z
coordinate for a given xy
(i.e., they have overhangs), we use cube counting for fractal dimension.
# height range
hr(mcap)
#> [1] 0.2185397
# rugosity
rg(mcap, L0 = 0.045)
#> [1] 2.882813
# fractal dimension
fd(mcap, method = "cubes", keep_data = TRUE, plot=TRUE, diagnose = TRUE)
#> lvec is set to c(0.053, 0.106, 0.212, 0.423).
#> $D
#> [1] 2.315246
#>
#> $data
#> l n
#> 4 0.05291204 134
#> 3 0.10582408 31
#> 2 0.21164817 8
#> 1 0.42329634 1
#>
#> $lvec
#> [1] 0.42329634 0.21164817 0.10582408 0.05291204
#>
#> $D_vec
#> [1] 2.111893 1.954196 3.000000
#>
#> $var
#> [1] 0.5638126
#>
#> $method
#> [1] "cubes"