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Erschienen in:
Introduction Kapitel lesen Erstes Kapitel lesen

2009 | OriginalPaper | Buchkapitel

3. Moiré minimization

verfasst von : Isaac Amidror

Erschienen in: The Theory of the Moiré Phenomenon

Verlag: Springer London

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Excerpt

As an application of the theoretical concepts introduced thus far, we present in this chapter the interesting problem of moiré minimization, namely, the question of how to find stable moiré-free combinations of several superposed dot-screens. Historically, this question finds its origin in the field of colour printing; and indeed, this context will be used here as our principal setting to illustrate the problem. Simpler cases involving only two superposed screens may also find their use in some other applications, such as the minimization of moirés which occur when a halftoned image is scanned by a digital scanner or sent by fax. …

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Vorheriges Kapitel Background and basic notions
Nächstes Kapitel The moiré profile form and intensity levels
Fußnoten
1
There exist also other halftoning methods, such as dispersed-dot halftoning, error-diffusion, dot-frequency modulation, etc., in which the dot elements at the device resolution are not clustered into larger screen dots and do not form a regular screen. For more details concerning the various halftoning methods the reader is referred to [Ulichney88] or to [Kang97, Chapter 9].
 
2
Note that due to the 90° symmetry of regular screens, angle differences of 30° or 60° give identical superpositions. However, if the dot shapes in the individual screens do not have a 90° symmetry (e.g., elliptic dots), small microstructure differences will occur between the two cases.
 
3
Strictly speaking, a halftoned image with clustered dots is not a periodic function, since its dot sizes and forms may vary throughout the image. However, since the screen periods and angles are preserved throughout the halftoned image, the geometric locations of the impulses in the spectrum are not affected, and only their amplitudes are influenced by the dot size and form (see Sec. 10.11).
 
4
Other possible sources of undesired moirés in image reproduction are given in Appendix C, Sec. C.13.
 
5
Small angle deviations between the screens of the different inks may occur in multi-pass printing since a perfect registration of the paper between the different passes requires a very high mechanical precision. Small frequency deviations may occur, for example, owed to the dilatation of the printed paper after it has been moistened by the wet ink of the first printed colour.
 
6
Note that a quantitative estimation of the impulse amplitudes by FFT is too coarse for this need, because of the various artifacts inherent to FFT (such as aliasing, leakage, etc.) which may significantly corrupt the impulse amplitudes obtained by FFT.
 
7
We will restrict ourselves here only to the geometric parameters, i.e., to the influence of varying the angles and frequencies of the superposed layers on the resulting moirés. The effects of varying the gray levels or the dot shapes in the superposed layers were already discussed above (see Figs. 2.9, 2.14).
 
8
In fact, this is a consequence of Proposition 2.1 and Eq. (2.27).
 
Metadaten
Titel
Moiré minimization
verfasst von
Isaac Amidror
Copyright-Jahr
2009
Verlag
Springer London
Buch
The Theory of the Moiré Phenomenon

Print ISBN: 978-1-84882-180-4

Electronic ISBN: 978-1-84882-181-1

Copyright-Jahr: 2009

DOI
https://doi.org/10.1007/978-1-84882-181-1_3

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