[OSGeo-Discuss] geospatial algorithm to create area midway boundaries from lines ?

[Pierre Abbat]

On Friday, 6 March 2020 17:36:15 EST karsten wrote:
> Hi All,
> 
> a general geospatial question to all:
> I am trying to find out if there is any existing geospatial algorithm (in
> any open Open Source Geospatial software) that would allow to use a network
> of lines as a start point and expand those in such a way that I can create
> new area boundaries for each of the lines "coverage area". What I mean with
> that is if one could "buffer" the lines out in such a way to create
> boundaries where any potential buffers would meet at the middle way point
> between the lines so that in the end I could have an area within that is the
> starting line. On example could look like this (5 hand drawn lines in red
> and corresponding colored areas that I would want to create). Note that is
> exact but to communicate the idea) see
> http://terra5.terragis.net/sites/html/aeras_for_lines%20copy.png

When you say "lines", do you mean polylines made of line segments, polyarcs, 
or polyspirals? If polyarcs, will they generally be smooth? If polyspirals, 
will adjacent spiralarcs osculate, just be tangent, or neither?

What sort of lines would the output be? If the input is polyarcs, the output 
could contain pieces of hyperbola. If the input is polyspirals, the output 
could contain strange indescribable curves. The only curves used as land 
boundaries are line segments and circular arcs, so they'd have to be 
approximated.

Pierre
-- 
When a barnacle settles down, its brain disintegrates.
Já não percebe nada, já não percebe nada.