Calculus of functional centrality

TL;DR

This paper introduces a novel approach to the calculus of optimal geometrical primitives based on centrality, offering solutions for shortest paths in space and time that surpass classical calculus of variations methods.

Contribution

It presents a new perspective on the calculus of centrality for geometrical primitives, enabling solutions not accessible by traditional calculus of variations.

Findings

Effective solutions for shortest paths in spatial and temporal domains.

Demonstrates advantages over classical calculus of variations.

Provides a new framework for optimal geometric primitives.

Abstract

In this document, we present another perspective for the calculus of optimal geometrical primitives and functions according to the centrality requirements. The shortest paths expressed in spatial and temporal domains are studied. We show the effectiveness of this formulation by providing solutions that cannot be easily accessed by classical formulation when using the calculus of variations.