triplot

triplot(x, y; kwargs...)
triplot(positions; kwargs...)
triplot(triangles::Triangulation; kwargs...)

Plots a triangulation based on the provided position or Triangulation from DelaunayTriangulation.jl.

Attributes

  • show_points = false determines whether to plot the individual points. Note that this will only plot points included in the triangulation.

  • show_convex_hull = false determines whether to plot the convex hull.

  • show_ghost_edges = false determines whether to plot the ghost edges.

  • show_constrained_edges = false determines whether to plot the constrained edges.

  • recompute_centers = false determines whether to recompute the representative points for the ghost edge orientation. Note that this will mutate tri.representative_point_list directly.

  • markersize = 12 sets the size of the points.

  • marker = :circle sets the shape of the points.

  • markercolor = :black sets the color of the points.

  • strokecolor = :black sets the color of triangle edges.

  • strokewidth = 1 sets the linewidth of triangle edges.

  • linestyle = :solid sets the linestyle of triangle edges.

  • triangle_color = (:white, 0.0) sets the color of the triangles.

  • convex_hull_color = :red sets the color of the convex hull.

  • convex_hull_linestyle = :dash sets the linestyle of the convex hull.

  • convex_hull_linewidth = 1 sets the width of the convex hull.

  • ghost_edge_color = :blue sets the color of the ghost edges.

  • ghost_edge_linestyle = :solid sets the linestyle of the ghost edges.

  • ghost_edge_linewidth = 1 sets the width of the ghost edges.

  • ghost_edge_extension_factor = 0.1 sets the extension factor for the rectangle that the exterior ghost edges are extended onto.

  • bounding_box::Union{Automatic, Rect2, Tuple} = automatic: Sets the bounding box for truncating ghost edges which can be a Rect2 (or BBox) or a tuple of the form (xmin, xmax, ymin, ymax). By default, the rectangle will be given by [a - eΔx, b + eΔx] × [c - eΔy, d + eΔy] where e is the ghost_edge_extension_factor, Δx = b - a and Δy = d - c are the lengths of the sides of the rectangle, and [a, b] × [c, d] is the bounding box of the points in the triangulation.

  • constrained_edge_color = :magenta sets the color of the constrained edges.

  • constrained_edge_linestyle = :solid sets the linestyle of the constrained edges.

  • constrained_edge_linewidth = 1 sets the width of the constrained edges.

Examples

A triplot plots a triangle mesh generated from an arbitrary set of points. The input data can either be point based (like scatter or lines) or a Triangulation from DelaunayTriangulation.jl.

using CairoMakie
using DelaunayTriangulation

using Random
Random.seed!(1234)

points = randn(Point2f, 50)
f, ax, tr = triplot(points, show_points = true, triangle_color = :lightblue)

tri = triangulate(points)
ax, tr = triplot(f[1, 2], tri, show_points = true)
f

You can use triplot to visualise the ghost edges surrounding the boundary.

using CairoMakie
using DelaunayTriangulation

n = 20
angles = range(0, 2pi, length = n+1)[1:end-1]
x = [cos.(angles); 2 .* cos.(angles .+ pi/n)]
y = [sin.(angles); 2 .* sin.(angles .+ pi/n)]
inner = [n:-1:1; n] # clockwise inner
outer = [(n+1):(2n); n+1] # counter-clockwise outer
boundary_nodes = [[outer], [inner]]
points = [x'; y']
tri = triangulate(points; boundary_nodes = boundary_nodes)

f, ax, tr = triplot(tri; show_ghost_edges = true, show_points = true)
f

You can also highlight the constrained edges and display the convex hull, which is especially useful when the triangulation is no longer convex.

using CairoMakie
using DelaunayTriangulation

using Random
Random.seed!(1234)

outer = [
    (0.0,0.0),(2.0,1.0),(4.0,0.0),
    (6.0,2.0),(2.0,3.0),(3.0,4.0),
    (6.0,6.0),(0.0,6.0),(0.0,0.0)
]
inner = [
    (1.0,5.0),(2.0,4.0),(1.01,1.01),
    (1.0,1.0),(0.99,1.01),(1.0,5.0)
]
boundary_points = [[outer], [inner]]
boundary_nodes, points = convert_boundary_points_to_indices(boundary_points)
tri = triangulate(points; boundary_nodes = boundary_nodes)
refine!(tri; max_area=1e-3*get_area(tri))

f, ax, tr = triplot(tri, show_constrained_edges = true, constrained_edge_linewidth = 4, show_convex_hull = true)
f