CVITAug 29, 2014

Binary matrices of optimal autocorrelations as alignment marks

arXiv:1408.6915v12 citations
Originality Synthesis-oriented
AI Analysis

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.

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