J. Eur. Opt. Soc.-Rapid Publ.
Volume 12, Number 1, 2016
|Number of page(s)||11|
|Published online||31 August 2016|
Improved least-squares method for phase-to-height relationship in fringe projection profilometry
Yeungnam University, School of Mechanical Engineering, 38541, Gyeongsan, South Korea
Accepted: 15 August 2016
Background: The height estimating function is very important for three-dimensional (3-D) measurement systems based on a digital light processing (DLP) projector and a camera. Sinusoidal fringe patterns of the projector are projected onto an object, and the phase of the measuring point is calculated from the camera image. Generally, the least-squares method (LSM) and look-up table(LUT) method are typically used to obtain the phase-to-height relationship.
Results: The merit of LSM is that one equation is obtained from geometric analysis, but it has difficulty incorporating lens distortion. The LUT method can obtain an exact model that includes lens distortion, but the amount of memory needed increases with the number of pixels because each model is obtained at each pixel. This paper compares for these two methods and proposes an improved LSM using LUT.
Conclusions: The proposed method has one equation like the case of LSM, but the modeling result is better than LSM because lens distortion is fully considered.
Key words: Shape measurement / Fringe pattern projection / Phase-height relationship / Lens distortion
© 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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