Generalized Semimagic Squares for Digital Halftoning

Details Generalized Semimagic Squares for Digital Halftoning Generalized Semimagic Squares for Digital Halftoning

2010-09-07

arxiv.org/abs/1009.1373v1

Computer Science

Computational Geometry

6 pages, 6 figures

Scientific paper

10.1007/s00224-010-9290-7

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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