An image domain approach to the interpretation of the visible moiré phenomenon

Yu, Lei; Wang, Shurong; Lin, Guoqing

doi:10.1088/2040-8978/15/7/075407

Cited by 4 publications

(6 citation statements)

References 11 publications

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“…The moiré technique has also been applied to the structural illumination microscopy [6,7]. Yu et al [8,9] worked on the visible moiré patterns and the influence of different grating frequencies on the resulting moiré patterns. Joydeep [10] has shown a method for experimental variation of shape of the moiré patterns generated using interferometry and a Spatial Light Modulator.…”

Section: Literature Surveymentioning

confidence: 99%

Directional Moiré Boosting Using Spatial Filtering

Chatterjee¹

2021

IJRASET

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Overlapping of two or more grating structures of small frequency differences gives rise to the Moiré patterns. While the overall moiré patterns are widely studied, in many cases – specially in case of a zonal fringe analysis – zone or direction based highlighting or suppression of moiré patterns are very helpful. This paper presents a simple method for directional boosting of moiré patterns, generated using Spatial Light Modulator (SLM) based interferometric setup, using the spatial filtering technique. Keywords: Moiré, Spatial Filter, Directional Boosting, Interferometry, Spatial Light Modulator, Optics

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Section: Literature Surveymentioning

confidence: 99%

Directional Moiré Boosting Using Spatial Filtering

Chatterjee¹

2021

IJRASET

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“…However, the results of this analysis yield complex frequency components. In 2013, a Moiré pattern analysis of overlapping gratings with varying phases was presented [67]. The technique used was based on Fourier series expansion combined with geometric methods.…”

Section: Introductionmentioning

confidence: 99%

“…The transparent and opaque lines of the two panels have entirely different light intensities. It relies on AND and OR operators to represent overlapping results, similar to the idea in this article [67]; however, we define a set of data as opaque and transparent line segments with a Fourier series of rectangular signals. The revealing grating (used as a reference) has a constant duty cycle value of 0.5, whereas the base grating is assigned a value between 0 and 1.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Moiré pattern for parallel binary gratings based on AND and OR operators

Khokhuntod,

Kaewpoonsuk

2024

J. Opt.

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A method for analyzing the Moiré pattern of a parallel binary grating based on the high-frequency component of the omitted pattern is proposed. The analysis aims to investigate the signal components that influence the dark-light band formation of the Moiré pattern. The analytical technique begins with the consideration that both grating patterns are a set of binary rectangular signals with two signal level values, “0” and “1.” Subsequently, Fourier series expansion of these two sets of signals was performed considering the frequency, initial phase, and duty cycle of the signals. The superposition of both input signals relies on algebraic equations equivalent to AND and OR operators. The final step was to eliminate the effect of the high-frequency component, which is analogous to the low-pass filter of the electronic circuit (based on averaging the signal intensity per image length). If the frequencies of the two gratings are equal, the analysis based on both operators provides an output signal depending on the initial phase (placement position) and duty cycle values. If the frequencies of the two gratings are not equal, the analysis results show that the output signal has a frequency equal to the frequency difference between the two signals. Moreover, if the two input gratings had a duty cycle of 0.5, the overlapping resulted in a triangular shape. The results from the computer program to simulate the AND and OR operators were consistently compared to the plots of the analytical equations. In addition, they are compatible with image processing results.

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“…Blau et al [5] and Röhrich et al [6] used moiré in structural illumination microscopy. Yu et al [7,8] has performed an in-depth image domain study of the visible moiré patterns. Yu et al [8] has also showed generation of different moiré patterns for different period ratios of the gratings used to produce the moiré patterns.…”

Section: Introductionmentioning

confidence: 99%

Controlling the Shapes of the Moiré Patterns Generated Using the Interferometry and a Spatial Light Modulator

Chatterjee¹

2021

IJRASET

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Moiré patterns are generated by the superposition of two periodic patterns of close frequencies. This present paper proposes a simple method to bridge the conventional gap between interferometry and moiré patterns by generating moiré patterns using straight-line interference fringes from a Michelson interferometer like setup and a circular grating pattern generated on a Spatial Light Modulator (SLM). The visible variation in the geometrical shapes of the moiré patterns by varying the ratio of the periods of the two periodic patterns has also been presented. The experimental results match with the simulation results. Keywords: Moiré, Interferometry, Spatial Light Modulator, Optics, Engineering physics

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An image domain approach to the interpretation of the visible moiré phenomenon

Cited by 4 publications

References 11 publications

Directional Moiré Boosting Using Spatial Filtering

Directional Moiré Boosting Using Spatial Filtering

Analysis of Moiré pattern for parallel binary gratings based on AND and OR operators

Controlling the Shapes of the Moiré Patterns Generated Using the Interferometry and a Spatial Light Modulator

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