Design of irregular screen sets that generate maximally smooth halftone patterns

Altyngul Jumabayeva, Yi Ting Chen, Tal Frank, Robert Ulichney, Jan Allebach

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

7 Scopus citations


With the emergence of high-end digital printing technologies, it is of interest to analyze the nature and causes of image graininess in order to understand the factors that prevent high-end digital presses from achieving the same print quality as commercial offset presses. In this paper, we report on a study to understand the relationship between image graininess and halftone technology. With high-end digital printing technology, irregular screens can be considered since they can achieve a better approximation to the screen sets used for commercial offset presses. This is due to the fact that the elements of the periodicity matrix of an irregular screen are rational numbers, rather than integers, which would be the case for a regular screen. To understand how image graininess relates to the halftoning technology, we recently performed a Fourier-based analysis of regular and irregular periodic, clustered-dot halftone textures. From the analytical results, we showed that irregular halftone textures generate new frequency components near the spectrum origin; and that these frequency components are low enough to be visible to the human viewer, and to be perceived as a lack of smoothness. In this paper, given a set of target irrational screen periodicity matrices, we describe a process, based on this Fourier analysis, for finding the best realizable screen set. We demonstrate the efficacy of our method with a number of experimental results.

Original languageEnglish
Title of host publicationProceedings of SPIE-IS and T Electronic Imaging - Color Imaging XX
Subtitle of host publicationDisplaying, Processing, Hardcopy, and Applications
EditorsReiner Eschbach, Gabriel G. Marcu, Alessandro Rizzi
ISBN (Electronic)9781628414851
StatePublished - 1 Jan 2015
Externally publishedYes
EventColor Imaging XX: Displaying, Processing, Hardcopy, and Applications - San Francisco, United States
Duration: 9 Feb 201512 Feb 2015

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X


ConferenceColor Imaging XX: Displaying, Processing, Hardcopy, and Applications
Country/TerritoryUnited States
CitySan Francisco


  • Clustered-dot
  • Fourier
  • Graininess
  • Halftoning
  • Irregular screens

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


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