Meshgrid

grid = MeshGrid(X, Y)
grid = MeshGrid(x, y = x)
grid = MeshGrid(meshgrid(x, y))

Generate data structure that captures contents generated by meshgrid.

The constructor calls meshgrid for non-matrix arguments x, y. A MeshGrid object can be deconstructed by

X, Y = grid[]

You can "enumerate" all vertex positions as SVector{2, T} with

collect(grid[:])
map(grid[:]) do x
    @SVector[x..., 0]
end

You can pass grid::MeshGrid to Plots.plot

plot(grid, scatter=false, ...)

See also meshgrid, perturb!, triangles

collect(grid[:])

Enumerate vertices of MeshGrid.

X, Y = MeshGrid(X, Y)

Deconstruct MeshGrid to tuple (X, Y).

m, n = size(grid)

Get dimensions of MesgGrid, same as

m, n = size(first(grid[]))

d = dual(grid)

Get dual MeshGrid such that each knot in grid refers to a cell in the dual d.

See also primal

X, Y = meshgrid(t)
X, Y = meshgrid(x, y)

Replacement for Matlab's meshgrid.

perturb!(grid, p=0.05; boundary::Bool = true)

Perturb vertex positions of grid with uniform random noise. p is the maximum amplitude relative to the cell size. If boundary = false, boundary vertices will not be perturbed.

See also MeshGrid

p = primal(grid)

Get primal MeshGrid from dual grid such that every cell in grid refers to a knot in p.

grid = MeshGrid(x, y)
x, y = ranges(grid)

Get ranges x and y that generate MeshGrid grid.

hx, hy = spacing(grid)

Get distances between knots in x- and y-directions, i.e., the cell size of the dual grid.

See also MeshGrid

triangles(grid) :: Vector

Collect triangles in MeshGrid with each cell split into two triangles. Each triangle is represented as a triple of linear vertex indices.

See also MeshGrid