# A PDE-based log-agnostic illumination correction algorithm

arXiv: https://arxiv.org/abs/1801.00098 · HTML: https://mlsanity.com/paper/1801.00098/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 30 Dec 2017.

## Built on by (most cited first, 1 of 1)

- [Improved Partial Differential Equation and Fast Approximation Algorithm for Hazy/Underwater/Dust Storm Image Enhancement](https://mlsanity.com/paper/2502.15986/) (2025)

## Abstract (arXiv)

This report presents the results of a partial differential equation (PDE)-based image enhancement algorithm, for dynamic range compression and illumination correction in the absence of the logarithmic function. The proposed algorithm combines forward and reverse flows in a PDE-based formulation. The experimental results are compared with algorithms from the literature and indicate comparable performance in most cases.