The aim of this paper is to provide a coherent framework for transforming boundary pairs of digital images from one resolution to another without knowledge of the full images. It is intended to facilitate the simultaneous usage of multiresolution processing and boundary reduction, primarily for algorithms in computational dynamics and computational control theory.
@article{arxiv.2407.18511,
title = {Restriction and interpolation operators for digital images and their boundaries},
author = {Janosch Rieger and Kyria Wawryk},
journal= {arXiv preprint arXiv:2407.18511},
year = {2024}
}