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Optical Engineering

Moire patterns in three-dimensional Fourier space
Author(s): David H. Parker
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Paper Abstract

Mathematics are developed to transform a moiré pattern into a 3-D Fourier space. Grating shapes, tilt, heterodyning, phase shifting, and Fourier filtering are all easily visualized in the 3-D Fourier space. It is shown why, in general, a moiré pattern cannot be interpreted in the 2-D spatial domain by a simple algorithm operating on a point. A moiré pattern is defined in terms of the 3-D Fourier space. A simple algorithm is developed to generate the value of the moiré pattern at a point. The filter characteristics of a solid state camera are developed and exploited. Phase modulation and synchronous detection are shown to filter out only components due to the fundamental harmonic of the reference grating. The specimen frequency vector is recovered from the moiré phase field.

Paper Details

Date Published: 1 October 1991
PDF: 8 pages
Opt. Eng. 30(10) doi: 10.1117/12.55958
Published in: Optical Engineering Volume 30, Issue 10
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