Binary matrices of optimal autocorrelations as alignment marks
This work addresses the need for precise alignment marks in spatial applications, but it is incremental as it focuses on optimizing specific matrix sizes without introducing a general method.
The authors tackled the problem of designing robust position marks for in-plane spatial alignment by defining a new class of binary matrices that maximize peak-sidelobe distances in aperiodic autocorrelations, with optimal matrices found for dimensions up to 9x9 through exhaustive searches.
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.