I have two lines on a plot and I want Julia to find the intersection between the two lines but I can’t seem to find a package that can help with that.
see
or even:
The GMT fill_between
function uses the gmtspatial
module to do that.
Idea
basically, if we don’t have explicit function expression, the curve is a set of data
simplify way is link two points to segment ,then check whether two segment intersect
this is naive method.
But I thought this is not a simple question, for numerical method, neighbors are problem
step
 package Meshes.jl for Segment method
Intersection
using Meshes s1 = Segment((0.0,0.0), (1.0,0.0)) s2 = Segment((0.5,0.0), (2.0,0.0)) inst=s1 ∩ s2
typeof(inst)==Point2
if segment does’nt intersect, then return nothing

make data

iterate to find intersection point
code
using Meshes
step = 100
xspan = range(2, 2, step)
arr = []
d1 = [(x, x^2) for x in xspan] .> (d > (round(d[1], digits=4), round(d[2], digits=4)))
d2 = [(x, 2 * x) for x in xspan] .> (d > (round(d[1], digits=4), round(d[2], digits=4)))
for i in 1:step1
local s1 = Segment(d1[i], d1[i+1])
local s2 = Segment(d2[i], d2[i+1])
local bool = s1 ∩ s2 > d > (typeof(d) == Point2)
(bool == true) && push!(arr, res)
end
arr