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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 18, Iss. 6 — Jun. 1, 2001
  • pp: 1371–1382

Variational approach to moiré pattern synthesis

Guy Lebanon and Alfred M. Bruckstein  »View Author Affiliations


JOSA A, Vol. 18, Issue 6, pp. 1371-1382 (2001)
http://dx.doi.org/10.1364/JOSAA.18.001371


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Abstract

Moiré phenomena occur when two or more images are nonlinearly combined to create a new superposition image. Moiré patterns are patterns that do not 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 that ensure 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 that takes place when the images are presented on discrete displays. We propose to resolve the freedom in moiré synthesis by choosing the images that optimize the chosen criteria.

© 2001 Optical Society of America

OCIS Codes
(100.2000) Image processing : Digital image processing
(100.2650) Image processing : Fringe analysis
(100.3190) Image processing : Inverse problems
(120.4120) Instrumentation, measurement, and metrology : Moire' techniques

History
Original Manuscript: August 23, 2000
Revised Manuscript: January 18, 2001
Manuscript Accepted: January 29, 2001
Published: June 1, 2001

Citation
Guy Lebanon and Alfred M. Bruckstein, "Variational approach to moiré pattern synthesis," J. Opt. Soc. Am. A 18, 1371-1382 (2001)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-6-1371


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