[Geometry] Proposing a project idea for GSOC 2021

From: Siddharth Kumar (sid021099kumar_at_[hidden])
Date: 2021-03-10 07:43:56

Hey, This is Siddharth Kumar. I have been working on the Boost.Geometry
library for the past 2-3 months. I would like to propose a project idea
about adding features for 3d-geometries, especially polyhedral surfaces
which includes:-

   1.

   Defining a geometry for the polyhedral surfaces.
   2.

   Read and write features for the polyhedral surfaces.
   3.

   Defining functions for the properties of polyhedral surfaces like
   volume, surface area, etc.

This implementation will help in the direct use of the geometry in such
algorithms, which are not yet implemented for the 3d-geometries or don’t
provide compatible results when working with 3d-shapes, as they give points
as an output rather than taking a geometry. For example- The convex hull
<https://github.com/boostorg/geometry/issues/683> doesn’t handle 3d
geometries correctly, because there is no 3d geometry defined that can
handle the result of the algorithm.

I have already submitted a PR
<https://github.com/boostorg/geometry/pull/789> (yet to be merged), which
defines the geometry for polyhedral surfaces, and also includes wkt read
and write features, I am willing to work on other properties of the
polyhedral surfaces as a project for GSOC 2021. I am looking for a mentor
who is willing to guide me in this project.

Thanks