This is a bezier function where you can get a bezier of any order
https://github.com/qwwshs/lua_bezier
example:
bez = require "bezier"
print(bez:GetBezier(0,1,0,1,0.5,{0,0,1,1,1,1}))

function love.load()

end

function love.draw()
for i=0,1,0.001 do
local int = bez:GetBezier(0,1,0,1,i,{0,0,1,1,1,1,1,1,0.5,0.5})
love.graphics.rectangle("fill",i300,int300,1,1)
end
end