Binary matrices of optimal autocorrelations as alignment marks
arXiv:1408.6915 · doi:10.1116/1.4913316
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.
8 pages, 6 figures and 1 table