Natural Way of Solving a Convex Hull Problem

TL;DR

This paper introduces a nature-inspired algorithm for the convex hull problem, modeling an elastic band with agents and nails, which efficiently finds the hull by simulating physical elastic behavior.

Contribution

The paper presents a novel, biologically inspired approach to solving the convex hull problem using elastic band simulation, differing from traditional geometric algorithms.

Findings

Algorithm runs in linear time relative to fixation time

Effective in modeling convex hulls through physical simulation

Offers an intuitive, nature-inspired alternative to classical methods

Abstract

In this article, a new solution for the convex hull problem has been presented. The convex hull is a widely known problem in computational geometry. As nature is a rich source of ideas in the field of algorithms, the solution has been inspired by nature. A tight elastic band is modeled using agents and also nails as points of the problem. By simulating an elastic band with nails in an environment, solving the convex hull problem will be possible. The algorithm runs in O(t) in which t is the time that an elastic band will get fixed.