Binary matrices of optimal autocorrelations as alignment marks
Computer Vision and Pattern Recognition
2023-05-03 v1 Information Theory
math.IT
Abstract
We define a new class of binary matrices by maximizing the peak-sidelobe distances in the aperiodic autocorrelations. These matrices can be used as robust position marks for in-plane spatial alignment. The optimal square matrices of dimensions up to 7 by 7 and optimal diagonally-symmetric matrices of 8 by 8 and 9 by 9 were found by exhaustive searches.
Keywords
Cite
@article{arxiv.1408.6915,
title = {Binary matrices of optimal autocorrelations as alignment marks},
author = {Scott A. Skirlo and Ling Lu and Marin Soljačić},
journal= {arXiv preprint arXiv:1408.6915},
year = {2023}
}
Comments
8 pages, 6 figures and 1 table