# Image contrast enhancement based on the Schr"odinger operator spectrum

arXiv: https://arxiv.org/abs/2406.02264 · HTML: https://mlsanity.com/paper/2406.02264/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 2 of its 62 references that are in the map.
- First posted on arXiv 4 Jun 2024.

## Builds on (most cited first, 2 of 2)

- [Gradient Magnitude Similarity Deviation: A Highly Efficient Perceptual Image Quality Index](https://mlsanity.com/paper/1308.3052/) (2013)
- [Contrast Enhancement of Brightness-Distorted Images by Improved Adaptive Gamma Correction](https://mlsanity.com/paper/1709.04427/) (2017)

## Abstract (arXiv)

In this study, we propose a novel image contrast enhancement method based on projecting images onto the squared eigenfunctions of the two-dimensional Schr"odinger operator. This projection relies on a design parameter, γ, which controls pixel intensity during image reconstruction. The method's performance is evaluated using color images. The selection of γ values is guided by priors based on fuzzy logic and clustering, preserving the spatial adjacency information of the image. Additionally, multi-objective optimization using the Non-dominated Sorting Genetic Algorithm II (NSGA-II) is employed to determine the optimal values of γ and the semi-classical parameter, h, from the 2D-SCSA. Results demonstrate that the proposed method effectively enhances image contrast while preserving the inherent characteristics of the original image, producing the desired enhancement with minimal artifacts.