randsec

Library for numerical estimation of the density distributions of geometric characteristics in random sections of convex polyhedra

Features

• numerically solve problems of analytic geometry, including determining the relative position of 3D objects;
• generate random sections of convex polyhedra uniformly in space [1];
• generate random linear intercept of convex polyhedra uniformly in space;
• calculate geometric characteristics of polygon;
• numerical estimate the density distributions of geometric characteristics in random sections of convex polyhedra;
• numerical estimate the density distributions of lengths of linear intercepts of convex polyhedra.

Usage

Check out examples of usage in example.ipynb.

References

1. Konstantinova, Elizaveta P., and Lev N. Shchur. "Algorithm for density of angle distribution in random sections of polyhedron." Expert Systems with Applications 235 (2024): 121195.