In‐plane displacement sensing from circular grating moiré fringes using graphical analysis approach

In‐plane displacement sensing from circular grating moiré fringes using graphical analysis... Purpose – Researchers in the past have used Fourier transformation method to determine the in‐plane displacement components from moiré fringes generated by a pair of overlapping circular gratings. In this approach it is necessary to assume that the transmittance is sinusoidal. The purpose of this paper is to propose a graphical method for determining the 2D displacement components from the moiré patterns more easily instead of the complex Fourier transformation method. Design/methodology/approach – The moiré patterns were spatially transformed from Cartesian‐to‐polar coordinate system. The morphological grayscale dilation operation was used to eliminate the residual gratings in the transformed pattern while preserving the moiré fringes. The center line of the moiré fringe was fitted with a sine curve and the in‐plane displacement values were determined directly from the peak‐to‐valley height and the position of the peak in the fitted curve. Findings – Experimental results showed that the proposed moiré pattern analysis method is able to give in‐plane displacement accuracies of 0.002 mm in the x ‐direction and 0.01 in the y ‐direction without the need for complex computation. Research limitations/implications – Resolution of the proposed method is limited only by the resolution of the imaging system. Practical implications – The proposed graphical method for determining 2D displacement components from the moiré patterns can be applied to low‐frequency circular gratings whose transmittance is not sinusoidal. Originality/value – The graphical analysis method is novel and allows the displacements components to be determined more easily. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Sensor Review Emerald Publishing

In‐plane displacement sensing from circular grating moiré fringes using graphical analysis approach

Sensor Review, Volume 31 (4): 10 – Sep 13, 2011

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Publisher
Emerald Publishing
Copyright
Copyright © 2011 Emerald Group Publishing Limited. All rights reserved.
ISSN
0260-2288
DOI
10.1108/02602281111169776
Publisher site
See Article on Publisher Site

Abstract

Purpose – Researchers in the past have used Fourier transformation method to determine the in‐plane displacement components from moiré fringes generated by a pair of overlapping circular gratings. In this approach it is necessary to assume that the transmittance is sinusoidal. The purpose of this paper is to propose a graphical method for determining the 2D displacement components from the moiré patterns more easily instead of the complex Fourier transformation method. Design/methodology/approach – The moiré patterns were spatially transformed from Cartesian‐to‐polar coordinate system. The morphological grayscale dilation operation was used to eliminate the residual gratings in the transformed pattern while preserving the moiré fringes. The center line of the moiré fringe was fitted with a sine curve and the in‐plane displacement values were determined directly from the peak‐to‐valley height and the position of the peak in the fitted curve. Findings – Experimental results showed that the proposed moiré pattern analysis method is able to give in‐plane displacement accuracies of 0.002 mm in the x ‐direction and 0.01 in the y ‐direction without the need for complex computation. Research limitations/implications – Resolution of the proposed method is limited only by the resolution of the imaging system. Practical implications – The proposed graphical method for determining 2D displacement components from the moiré patterns can be applied to low‐frequency circular gratings whose transmittance is not sinusoidal. Originality/value – The graphical analysis method is novel and allows the displacements components to be determined more easily.

Journal

Sensor ReviewEmerald Publishing

Published: Sep 13, 2011

Keywords: Moiré fringes; Displacement; Sensing; Graphical analysis; Pattern analysis; Image processing; Pattern recognition equipment

References

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