Frequency Analysis of Ordered Dither

Robert A. Ulichney

doi:10.1117/12.952821

6 July 1989 Frequency Analysis of Ordered Dither

Robert A. Ulichney

Proceedings Volume 1079, Hard Copy Output; (1989) https://doi.org/10.1117/12.952821
Event: OE/LASE '89, 1989, Los Angeles, CA, United States

Abstract

Ordered dither, the class of digital halftoning techniques which uses a periodic array of thresholds, is generalized for both rectangular and hexagonal grids, by means of the spatial method of recursive tessellation, a sub-tiling algorithm. The nature of the texture patterns so produced is illustrated and examined in the frequency domain, revealing several insights within and between the classes of rectangular and hexagonal grids. A simple explicit expression is derived which allows the use of the rectangular DFT to compute a hexagonal Fourier transform, maintaining continuous-space dimensions. Digitally produced examples are included.

Citation Download Citation

Robert A. Ulichney "Frequency Analysis of Ordered Dither", Proc. SPIE 1079, Hard Copy Output, (6 July 1989); https://doi.org/10.1117/12.952821

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