fm_nonconvex_hull: Compute an extension of a spatial object

In fmesher: Triangle Meshes and Related Geometry Tools

Compute an extension of a spatial object

Description

Constructs a potentially nonconvex extension of a spatial object by performing dilation by convex + concave followed by erosion by concave. This is equivalent to dilation by convex followed by closing (dilation + erosion) by concave.

Usage

fm_nonconvex_hull(x, ...)

## S3 method for class 'sfc'
fm_nonconvex_hull(
  x,
  convex = -0.15,
  concave = convex,
  preserveTopology = TRUE,
  dTolerance = NULL,
  crs = fm_crs(x),
  ...
)

fm_extensions(x, convex = -0.15, concave = convex, dTolerance = NULL, ...)

## S3 method for class 'matrix'
fm_nonconvex_hull(x, ...)

## S3 method for class 'sf'
fm_nonconvex_hull(x, ...)

## S3 method for class 'Spatial'
fm_nonconvex_hull(x, ...)

## S3 method for class 'sfg'
fm_nonconvex_hull(x, ...)

Arguments

x	A spatial object
...	Arguments passed on to the fm_nonconvex_hull() sub-methods
convex	numeric vector; How much to extend
concave	numeric vector; The minimum allowed reentrant curvature. Default equal to convex
preserveTopology	logical; argument to sf::st_simplify()
dTolerance	If not zero, controls the dTolerance argument to sf::st_simplify(). The default is pmin(convex, concave) / 40, chosen to give approximately 4 or more subsegments per circular quadrant.
crs	Options crs object for the resulting polygon

Details

Morphological dilation by convex, followed by closing by concave, with minimum concave curvature radius concave. If the dilated set has no gaps of width between

2 \textrm{convex} (\sqrt{1+2 \textrm{concave}/\textrm{convex}} - 1)

and 2\textrm{concave}, then the minimum convex curvature radius is convex.

The implementation is based on the identity

\textrm{dilation}(a) \& \textrm{closing}(b) = \textrm{dilation}(a+b) \& \textrm{erosion}(b)

where all operations are with respect to disks with the specified radii.

When convex, concave, or dTolerance are negative, fm_diameter * abs(...) is used instead.

Differs from sf::st_buffer(x, convex) followed by sf::st_concave_hull() (available from GEOS 3.11) in how the amount of allowed concavity is controlled.

Value

fm_nonconvex_hull() returns an extended object as an sfc polygon object (regardless of the x class).

fm_extensions() returns a list of sfc objects.

Functions

• fm_nonconvex_hull(): Basic nonconvex hull method.

• fm_extensions(): Constructs a potentially nonconvex extension of a spatial object by performing dilation by convex + concave followed by erosion by concave. This is equivalent to dilation by convex followed by closing (dilation + erosion) by concave.

INLA compatibility

For mesh and curve creation, the fm_rcdt_2d_inla(), fm_mesh_2d_inla(), and fm_nonconvex_hull_inla() methods will keep the interface syntax used by INLA::inla.mesh.create(), INLA::inla.mesh.2d(), and INLA::inla.nonconvex.hull() functions, respectively, whereas the fm_rcdt_2d(), fm_mesh_2d(), and fm_nonconvex_hull() interfaces may be different, and potentially change in the future.

References

Gonzalez and Woods (1992), Digital Image Processing

See Also

fm_nonconvex_hull_inla()

Examples

inp <- matrix(rnorm(20), 10, 2)
out <- fm_nonconvex_hull(inp, convex = 1)
plot(out)
points(inp, pch = 20)
if (TRUE) {
  inp <- sf::st_as_sf(as.data.frame(matrix(1:6, 3, 2)), coords = 1:2)
  bnd <- fm_extensions(inp, convex = c(0.75, 2))
  plot(fm_mesh_2d(boundary = bnd, max.edge = c(0.25, 1)), asp = 1)
}

fmesher documentation built on Nov. 2, 2023, 5:35 p.m.