An algorithm to estimate the vertices of a tetrahedron from uniform random points inside

TL;DR

This paper presents an algorithm that estimates the vertices of an unknown tetrahedron based on uniformly sampled interior points, with demonstrated accuracy through numerical experiments.

Contribution

The paper introduces a novel algorithm for reconstructing tetrahedron vertices from interior point samples, advancing geometric inference methods.

Findings

Algorithm accurately estimates tetrahedron vertices

Numerical experiments validate the method's effectiveness

Potential applications in shape reconstruction and computational geometry

Abstract

In this paper, we give an algorithm to infer the positions of the vertices of an unknown tetrahedron, given a sample of points which are uniformly distributed within the tetrahedron. The accuracy of the algorithm is demonstrated using some numerical experiments.