A PDE-based log-agnostic illumination correction algorithm

TL;DR

This paper introduces a PDE-based image enhancement algorithm that performs illumination correction and dynamic range compression without relying on logarithmic functions, demonstrating comparable results to existing methods.

Contribution

It proposes a novel PDE-based approach for illumination correction that does not depend on the logarithmic transformation, expanding the toolkit for image enhancement.

Findings

Comparable performance to existing algorithms in most cases

Effective dynamic range compression and illumination correction

Demonstrates the viability of PDE-based methods without logarithms

Abstract

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.