English

Diffuse arrays that autocorrelate and project as delta-like points

Image and Video Processing 2021-11-15 v1

Abstract

Diffuse two-dimensional integer-valued arrays are demonstrated that have delta-like aperiodic autocorrelation and, simultaneously, the array sums form delta-like projections along several directions. The delta-projected views show a single sharp spike at the central ray. When such arrays are embedded in larger blocks of two-dimensional data, their location can be fixed precisely via the fast and simple intersection of the back-projected central rays along two or more directions. This mechanism complements localization of the same array from its delta-like autocorrelation, which, although more robust, is slower and more complex to compute.

Keywords

Cite

@article{arxiv.2111.06568,
  title  = {Diffuse arrays that autocorrelate and project as delta-like points},
  author = {I. D. Svalbe and D. M. Paganin and T. C. Petersen},
  journal= {arXiv preprint arXiv:2111.06568},
  year   = {2021}
}
R2 v1 2026-06-24T07:35:55.809Z