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arXiv · 1009.1373

Generalized Semimagic Squares for Digital Halftoning

Akitoshi Kawamura
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Abstract

Completing Aronov et al.'s study on zero-discrepancy matrices for digital halftoning, we determine all (m, n, k, l) for which it is possible to put mn consecutive integers on an m-by-n board (with wrap-around) so that each k-by-l region holds the same sum. For one of the cases where this is impossible, we give a heuristic method to find a matrix with small discrepancy.

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Akitoshi Kawamura. 2010-09-07. Generalized Semimagic Squares for Digital Halftoning. https://doi.org/10.1007/s00224-010-9290-7

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