# Inteval Analysis for two spherical functions arising from robust Perspective-n-Lines problem

arXiv: https://arxiv.org/abs/2503.00400 · HTML: https://mlsanity.com/paper/2503.00400/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 1 of its 2 references that are in the map.
- First posted on arXiv 1 Mar 2025.

## Builds on (most cited first, 1 of 1)

- [Accelerating Globally Optimal Consensus Maximization in Geometric Vision](https://mlsanity.com/paper/2304.05156/) (2023)

## Abstract (arXiv)

This report presents a comprehensive interval analysis of two spherical functions derived from the robust Perspective-n-Lines (PnL) problem. The study is motivated by the application of a dimension-reduction technique to achieve global solutions for the robust PnL problem. We establish rigorous theoretical results, supported by detailed proofs, and validate our findings through extensive numerical simulations.