3D convex and alpha hulls

Turns 3D point clouds into surface hulls consisting of triangular polygons, using either convex hull or alpha shape algorithms.

Usage

geom_hull_3d(
  mapping = NULL,
  data = NULL,
  stat = StatHull3D,
  position = "identity",
  ...,
  method = "convex",
  radius = NULL,
  light = NULL,
  cull_backfaces = TRUE,
  sort_method = NULL,
  scale_depth = TRUE,
  inherit.aes = TRUE,
  show.legend = TRUE
)

stat_hull_3d(
  mapping = NULL,
  data = NULL,
  geom = GeomPolygon3D,
  position = "identity",
  ...,
  method = "convex",
  radius = NULL,
  light = NULL,
  cull_backfaces = TRUE,
  sort_method = NULL,
  scale_depth = TRUE,
  inherit.aes = TRUE,
  show.legend = TRUE
)

Arguments

mapping

Set of aesthetic mappings created by aes(). The required aesthetics are x, y, and z. Additional aesthetics can use computed variables with after_stat().

data

The data to be displayed in this layer.

stat

The statistical transformation to use on the data. Defaults to StatHull3D.

position

Position adjustment, defaults to "identity". To collapse the result onto one 2D surface, use position_on_face().

...

Other arguments passed on to the the layer function (typically GeomPolygon3D), such as aesthetics like colour, fill, linewidth, etc.

method

Triangulation method. Either:

• "convex": Convex hull triangulation (default)

• "alpha": Alpha shape triangulation (can capture non-convex topologies)

radius

Square root of "alpha" parameter when alpha method is used. A face is included in the resulting alpha shape if it can be "exposed" by a sphere of this radius. If NULL (the default), a simple heuristic based on the data scale is used to calculate a radius value. Note that alpha shapes are quite sensitive to the coordinate scales of your data. See Details section.

light

A lighting specification object created by light() (see that function for details), or NULL to disable shading. Specify plot-level lighting in coord_3d() and layer-specific lighting in geom_*3d() functions.

inherit.aes

If FALSE, overrides the default aesthetics.

show.legend

Logical indicating whether this layer should be included in legends.

geom

The geometric object used to display the data. Defaults to GeomPolygon3D.

Value

A Layer object that can be added to a ggplot.

Grouping

Hulls respect ggplot2 grouping aesthetics. To create separate hulls for different subsets of your data, use aes(group = category_variable) or similar grouping aesthetics. Each group will get its own independent hull.

Alpha scale sensitivity

Alpha shape method is highly sensitive to coordinate scales. The alpha parameter that works for data scaled 0-1 will likely fail for data scaled 0-1000. Guidelines for choosing radius:

• Start with alpha = 1.0 and adjust based on results

• For data with mixed scales (e.g., x: 0-1, y: 0-1000), consider rescaling your data first

• Larger alpha values → smoother, more connected surfaces

• Smaller alpha values → more detailed surfaces, but may fragment

• If you get no triangles, try increasing alpha by 10x

• If surface fills unwanted holes, try decreasing alpha by 10x

Aesthetics

stat_hull_3d() requires the following aesthetics:

• x: X coordinate

• y: Y coordinate

• z: Z coordinate

Computed variables

• normal_x, normal_y, normal_z: Surface normal components

See also

coord_3d() for 3D coordinate systems, geom_polygon_3d for the default geometry with depth sorting, light() for lighting specifications.

Examples

# Convex hull
ggplot(sphere_points, aes(x, y, z)) +
  geom_hull_3d(method = "convex", fill = "gray40") +
  coord_3d()


# Alpha shape (for sphere data, gives similar result to convex)
ggplot(sphere_points, aes(x, y, z)) +
  geom_hull_3d(method = "alpha", radius = 2, fill = "gray40") +
  coord_3d()


# Use `cull_backfaces = FALSE` to render far side of hull
ggplot(sphere_points, aes(x, y, z)) +
  geom_hull_3d( # default culling for comparison
    method = "convex", light = NULL,
    fill = "steelblue", color = "darkred", linewidth = .5, alpha = .5) +
  geom_hull_3d( # culling disabled
    aes(x = x + 2.5), cull_backfaces = FALSE,
    method = "convex", light = NULL,
    fill = "steelblue", color = "darkred", linewidth = .5, alpha = .5) +
  coord_3d(scales = "fixed")


# Use grouping to build separate hulls for data subsets
ggplot(iris, aes(Petal.Length, Sepal.Length, Sepal.Width,
                 color = Species, fill = Species)) +
      geom_hull_3d() +
      coord_3d(scales = "fixed")