  This study proposes a novel image contrast enhancement method based on image
projection onto the squared eigenfunctions of the two dimensional Schr\"odinger
operator. This projection depends on a design parameter
\texorpdfstring{\(\gamma\)}{gamma} which is proposed to control the pixel
intensity during image reconstruction. The performance of the proposed method
is investigated through its application to color images. The selection of
\texorpdfstring{\(\gamma\)}{gamma} values is performed using k-means, which
helps preserve the image spatial adjacency information. Furthermore,
multi-objective optimization using the Non dominated Sorting Genetic Algorithm
II (NSAG2) algorithm is proposed to select the optimal values of
\texorpdfstring{\(\gamma\)}{gamma} and the semi-classical parameter h from the
2DSCSA. The results demonstrate the effectiveness of the proposed method for
enhancing image contrast while preserving the inherent characteristics of the
original image, producing the desired enhancement with almost no artifacts.
