tricontourf
tricontourf(triangles::Triangulation, zs; kwargs...)
tricontourf(xs, ys, zs; kwargs...)Plots a filled tricontour of the height information in zs at the horizontal positions xs and vertical positions ys. A Triangulation from DelaunayTriangulation.jl can also be provided instead of xs and ys for specifying the triangles, otherwise an unconstrained triangulation of xs and ys is computed.
Plot type
The plot type alias for the tricontourf function is Tricontourf.
Attributes
colormap = @inherit colormap — Sets the colormap from which the band colors are sampled.
colorscale = identity — Color transform function
depth_shift = 0.0 — adjusts the depth value of a plot after all other transformations, i.e. in clip space, where 0 <= depth <= 1. This only applies to GLMakie and WGLMakie and can be used to adjust render order (like a tunable overdraw).
edges = nothing — No docs available.
extendhigh = nothing — This sets the color of an optional additional band from the highest value of levels to maximum(zs). If it's :auto, the high end of the colormap is picked and the remaining colors are shifted accordingly. If it's any color representation, this color is used. If it's nothing, no band is added.
extendlow = nothing — This sets the color of an optional additional band from minimum(zs) to the lowest value in levels. If it's :auto, the lower end of the colormap is picked and the remaining colors are shifted accordingly. If it's any color representation, this color is used. If it's nothing, no band is added.
fxaa = true — adjusts whether the plot is rendered with fxaa (anti-aliasing, GLMakie only).
inspectable = true — sets whether this plot should be seen by DataInspector.
inspector_clear = automatic — Sets a callback function (inspector, plot) -> ... for cleaning up custom indicators in DataInspector.
inspector_hover = automatic — Sets a callback function (inspector, plot, index) -> ... which replaces the default show_data methods.
inspector_label = automatic — Sets a callback function (plot, index, position) -> string which replaces the default label generated by DataInspector.
levels = 10 — Can be either an Int which results in n bands delimited by n+1 equally spaced levels, or it can be an AbstractVector{<:Real} that lists n consecutive edges from low to high, which result in n-1 bands.
mode = :normal — Sets the way in which a vector of levels is interpreted, if it's set to :relative, each number is interpreted as a fraction between the minimum and maximum values of zs. For example, levels = 0.1:0.1:1.0 would exclude the lower 10% of data.
model = automatic — Sets a model matrix for the plot. This overrides adjustments made with translate!, rotate! and scale!.
nan_color = :transparent — No docs available.
overdraw = false — Controls if the plot will draw over other plots. This specifically means ignoring depth checks in GL backends
space = :data — sets the transformation space for box encompassing the plot. See Makie.spaces() for possible inputs.
ssao = false — Adjusts whether the plot is rendered with ssao (screen space ambient occlusion). Note that this only makes sense in 3D plots and is only applicable with fxaa = true.
transformation = automatic — No docs available.
transparency = false — Adjusts how the plot deals with transparency. In GLMakie transparency = true results in using Order Independent Transparency.
triangulation = DelaunayTriangulation() — The mode with which the points in xs and ys are triangulated. Passing DelaunayTriangulation() performs a Delaunay triangulation. You can also pass a preexisting triangulation as an AbstractMatrix{<:Int} with size (3, n), where each column specifies the vertex indices of one triangle, or as a Triangulation from DelaunayTriangulation.jl.
visible = true — Controls whether the plot will be rendered or not.
Examples
using CairoMakie
using Random
Random.seed!(1234)
x = randn(50)
y = randn(50)
z = -sqrt.(x .^ 2 .+ y .^ 2) .+ 0.1 .* randn.()
f, ax, tr = tricontourf(x, y, z)
scatter!(x, y, color = z, strokewidth = 1, strokecolor = :black)
Colorbar(f[1, 2], tr)
f
using CairoMakie
using Random
Random.seed!(1234)
x = randn(200)
y = randn(200)
z = x .* y
f, ax, tr = tricontourf(x, y, z, colormap = :batlow)
scatter!(x, y, color = z, colormap = :batlow, strokewidth = 1, strokecolor = :black)
Colorbar(f[1, 2], tr)
f
Triangulation modes
Manual triangulations can be passed as a 3xN matrix of integers, where each column of three integers specifies the indices of the corners of one triangle in the vector of points.
using CairoMakie
using Random
Random.seed!(123)
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)]
z = (x .- 0.5).^2 + (y .- 0.5).^2 .+ 0.5.*randn.()
triangulation_inner = reduce(hcat, map(i -> [0, 1, n] .+ i, 1:n))
triangulation_outer = reduce(hcat, map(i -> [n-1, n, 0] .+ i, 1:n))
triangulation = hcat(triangulation_inner, triangulation_outer)
f, ax, _ = tricontourf(x, y, z, triangulation = triangulation,
axis = (; aspect = 1, title = "Manual triangulation"))
scatter!(x, y, color = z, strokewidth = 1, strokecolor = :black)
tricontourf(f[1, 2], x, y, z, triangulation = Makie.DelaunayTriangulation(),
axis = (; aspect = 1, title = "Delaunay triangulation"))
scatter!(x, y, color = z, strokewidth = 1, strokecolor = :black)
f
By default, tricontourf performs unconstrained triangulations. Greater control over the triangulation, such as allowing for enforced boundaries, can be achieved by using DelaunayTriangulation.jl and passing the resulting triangulation as the first argument of tricontourf. For example, the above annulus can also be plotted as follows:
using CairoMakie
using DelaunayTriangulation
using Random
Random.seed!(123)
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)]
z = (x .- 0.5).^2 + (y .- 0.5).^2 .+ 0.5.*randn.()
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, _ = tricontourf(tri, z;
axis = (; aspect = 1, title = "Constrained triangulation\nvia DelaunayTriangulation.jl"))
scatter!(x, y, color = z, strokewidth = 1, strokecolor = :black)
f
Boundary nodes make it possible to support more complicated regions, possibly with holes, than is possible by only providing points themselves.
using CairoMakie
using DelaunayTriangulation
## Start by defining the boundaries, and then convert to the appropriate interface
curve_1 = [
[(0.0, 0.0), (5.0, 0.0), (10.0, 0.0), (15.0, 0.0), (20.0, 0.0), (25.0, 0.0)],
[(25.0, 0.0), (25.0, 5.0), (25.0, 10.0), (25.0, 15.0), (25.0, 20.0), (25.0, 25.0)],
[(25.0, 25.0), (20.0, 25.0), (15.0, 25.0), (10.0, 25.0), (5.0, 25.0), (0.0, 25.0)],
[(0.0, 25.0), (0.0, 20.0), (0.0, 15.0), (0.0, 10.0), (0.0, 5.0), (0.0, 0.0)]
] # outer-most boundary: counter-clockwise
curve_2 = [
[(4.0, 6.0), (4.0, 14.0), (4.0, 20.0), (18.0, 20.0), (20.0, 20.0)],
[(20.0, 20.0), (20.0, 16.0), (20.0, 12.0), (20.0, 8.0), (20.0, 4.0)],
[(20.0, 4.0), (16.0, 4.0), (12.0, 4.0), (8.0, 4.0), (4.0, 4.0), (4.0, 6.0)]
] # inner boundary: clockwise
curve_3 = [
[(12.906, 10.912), (16.0, 12.0), (16.16, 14.46), (16.29, 17.06),
(13.13, 16.86), (8.92, 16.4), (8.8, 10.9), (12.906, 10.912)]
] # this is inside curve_2, so it's counter-clockwise
curves = [curve_1, curve_2, curve_3]
points = [
(3.0, 23.0), (9.0, 24.0), (9.2, 22.0), (14.8, 22.8), (16.0, 22.0),
(23.0, 23.0), (22.6, 19.0), (23.8, 17.8), (22.0, 14.0), (22.0, 11.0),
(24.0, 6.0), (23.0, 2.0), (19.0, 1.0), (16.0, 3.0), (10.0, 1.0), (11.0, 3.0),
(6.0, 2.0), (6.2, 3.0), (2.0, 3.0), (2.6, 6.2), (2.0, 8.0), (2.0, 11.0),
(5.0, 12.0), (2.0, 17.0), (3.0, 19.0), (6.0, 18.0), (6.5, 14.5),
(13.0, 19.0), (13.0, 12.0), (16.0, 8.0), (9.8, 8.0), (7.5, 6.0),
(12.0, 13.0), (19.0, 15.0)
]
boundary_nodes, points = convert_boundary_points_to_indices(curves; existing_points=points)
edges = Set(((1, 19), (19, 12), (46, 4), (45, 12)))
## Extract the x, y
tri = triangulate(points; boundary_nodes = boundary_nodes, segments = edges)
z = [(x - 1) * (y + 1) for (x, y) in DelaunayTriangulation.each_point(tri)] # note that each_point preserves the index order
f, ax, _ = tricontourf(tri, z, levels = 30; axis = (; aspect = 1))
f
using CairoMakie
using DelaunayTriangulation
using Random
Random.seed!(1234)
θ = [LinRange(0, 2π * (1 - 1/19), 20); 0]
xy = Vector{Vector{Vector{NTuple{2,Float64}}}}()
cx = [0.0, 3.0]
for i in 1:2
push!(xy, [[(cx[i] + cos(θ), sin(θ)) for θ in θ]])
push!(xy, [[(cx[i] + 0.5cos(θ), 0.5sin(θ)) for θ in reverse(θ)]])
end
boundary_nodes, points = convert_boundary_points_to_indices(xy)
tri = triangulate(points; boundary_nodes=boundary_nodes)
z = [(x - 3/2)^2 + y^2 for (x, y) in DelaunayTriangulation.each_point(tri)] # note that each_point preserves the index order
f, ax, tr = tricontourf(tri, z, colormap = :matter)
f
Relative mode
Sometimes it's beneficial to drop one part of the range of values, usually towards the outer boundary. Rather than specifying the levels to include manually, you can set the mode attribute to :relative and specify the levels from 0 to 1, relative to the current minimum and maximum value.
using CairoMakie
using Random
Random.seed!(1234)
x = randn(50)
y = randn(50)
z = -sqrt.(x .^ 2 .+ y .^ 2) .+ 0.1 .* randn.()
f, ax, tr = tricontourf(x, y, z, mode = :relative, levels = 0.2:0.1:1)
scatter!(x, y, color = z, strokewidth = 1, strokecolor = :black)
Colorbar(f[1, 2], tr)
f
These docs were autogenerated using Makie: v0.21.0, GLMakie: v0.10.0, CairoMakie: v0.12.0, WGLMakie: v0.10.0
