| Issue |
J. Eur. Opt. Soc.-Rapid Publ.
Volume 12, Number 1, 2016
|
|
|---|---|---|
| Article Number | 17 | |
| Number of page(s) | 6 | |
| DOI | https://doi.org/10.1186/s41476-016-0019-3 | |
| Published online | 11 October 2016 | |
Research
Measurement to radius of Newton’s ring fringes using polar coordinate transform
1
College of Mechanical Engineering, Inner Mongolia University of Technology, 010051, Huhhot, China
2
College of Information Engineering, Inner Mongolia University of Technology, 010080, Hohhot, China
b
fzbaiim@163.com
c
lz_water@sina.com
Received:
1
September
2016
Accepted:
30
September
2016
Background: Newton’s ring method is often used to measure many physical parameters. And some measured physical quantity can be extracted by calculating the radius parameter of circular fringes from Newton's ring configuration.
Methods: The paper presents a new measuring method for radius of circular fringes, which includes three main steps, i.e., determination of center coordinates of circular fringes, polar coordinates transformation of circular fringes, and gray projection of the transformed result which along the horizontal direction. Then the radius values of each order ring are calculated.
Results: The simulated results indicate that the measuring accuracy of the radius under the effect of random noise can keep the degree of less than 0.5 pixels.
Conclusions: The proposed method can obtain the radius data of each order closed circular fringes. Also, it has several other advantages, including ability of good anti-noise, sub-pixel accuracy and high reliability, and easy to in-situ use.
Key words: Newton’s ring / Polar coordinates transform / Fringes pattern / Gray projection
© The Author(s) 2016
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
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