Abstract
Moiré phenomena occur when two or more images are non-linearly combined to create a new “superposition image”. Moiré patterns are patterns that don’t exist in any of the original images but appear in the superposition image for example as the result of a multiplicative superposition rule. The topic of moiré pattern synthesis deals with creating images that, when superimposed, will reveal certain desired moiré patterns. Conditions ensuring that a desired moiré pattern will be present in the superposition of two images are known, however they do not specify these images uniquely. The freedom in choosing the superimposed images can be exploited to produce various degrees of visibility and ensure desired properties. Performance criteria for the images that measure when one superposition is better than another are introduced. These criteria are based on the visibility of the moiré patterns to the human visual system and on the digitization which takes place when presenting the images on discrete displays. We here propose to resolve the freedom in moiré synthesis by choosing the images that optimize the chosen criteria.
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References
Lord Rayleigh. On the manufacture and theory of diffraction-gratings. Philos.Mag., 81:81–93, February 1874. Published also in Indebetouw G. and R. Czarnek, Selected papers on optical moire and applications, SPIE milestone series, Vol. 64.
Bryngdahl O. Characteristics of superposed patterns in optics. J. Opt. Soc. Am., 66(2), 1976.
I. Amidror. The theory of the moiré phenomenon. Kluwer Academic Publishers, Dordecht, 2000.
M. Wasserman Oster G. and C. Zwerling. Theoretical interpretations of moiré patterns. J. Opt. Soc. Am., 54(2), 1964.
Giger H. Moirés. Comp. & Math. with Appls, 12B:329–361, 1986.
Bracewell R. The Fourier transform and its applications. McGraw-Hill publishing, second edition, 1986.
Courant R. and D. Hilbert. Methods in Mathematical Physics, volume 1. Interscience Publishers, New York, 1953.
Pratt W.K. Digital Image Processing. John Wiley & Sons, New York, second edition, 1991.
Ulichney R. Digital halftoning. MIT Press, Cambridge Mass., 1987.
Levine M. Vision in man and machine. McGraw-Hill, New York, 1985.
Taylor M. Visual discrimination and orientation. Journal of Applied Optics, pages 763–765, June 1963.
Horn B.K.P. and M.J. Brooks. The variational approach to shape from shading. Comp. Vision, Graphics Image Processing, pages 174–203, 1986.
Sagan H. Introduction to the calculus of variations. Dover Publications, New York, 1969.
Strang G. Introduction to applied mathematics. Wellesley-Cambridge press, Wellesley, Mass., 1986.
A. Shamir Naor M. Visual cryptography. In EUROCRYPT 1994, Lecture Notes in Computer Science, volume 950, Springer-Verlag, New York, 1995.
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Lebanon, G., Bruckstein, A.M. (2001). Designing Moiré Patterns. In: Figueiredo, M., Zerubia, J., Jain, A.K. (eds) Energy Minimization Methods in Computer Vision and Pattern Recognition. EMMCVPR 2001. Lecture Notes in Computer Science, vol 2134. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44745-8_13
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DOI: https://doi.org/10.1007/3-540-44745-8_13
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