Principle and prospect of optical flow in three-dimensional micro/nano-scale deformation measurement

Shujin Zhang; Ran Zhao; Yu Hu; Jinsheng Jia

doi:10.1117/12.2666729

4 April 2023 Principle and prospect of optical flow in three-dimensional micro/nano-scale deformation measurement

Shujin Zhang, Ran Zhao, Yu Hu, Jinsheng Jia

Proceedings Volume 12617, Ninth Symposium on Novel Photoelectronic Detection Technology and Applications; 126176O (2023) https://doi.org/10.1117/12.2666729
Event: 9th Symposium on Novel Photoelectronic Detection Technology and Applications (NDTA 2022), 2022, Hefei, China

Abstract

Optical flow, proposed by Gibson, refers to the flow of a moving three-dimensional scene in a time-varying two-dimensional image sequence due to variations in brightness patterns. Recently, a number of research results have shown that optical flow can be used for three-dimensional micro/nano-scale deformation measurement. This paper introduces the development of optical flow and its application from signal science to three-dimensional measurement, expounds the derivation process of the basic equation of optical flow, explains and evaluates classical optical flow algorithms and mathematical models, and takes the three-dimensional deformation measurement of fiber-optical image inverter as an example to discuss the measurement accuracy of optical flow algorithm. Matlab is used as the simulation tool. The in-plane displacement is calculated by the Brox and the Digital Image Correlation (DIC) method. Then combined with the wedge surface model, the out-of-plane displacement is estimated. It is concluded that both the Brox algorithm and the DIC method can obtain smaller errors at larger out-of-plane displacements (y∈[130pixel, 300pixel]); The results of DIC method fluctuate and the error increases at small out-of-plane displacements (y∈[1pixel, 130pixel]), while the results of Brox remain smooth. The accuracy of the optical flow algorithm for 3D measurement is higher than that of DIC in the case of small displacement.

Citation Download Citation

Shujin Zhang, Ran Zhao, Yu Hu, and Jinsheng Jia "Principle and prospect of optical flow in three-dimensional micro/nano-scale deformation measurement", Proc. SPIE 12617, Ninth Symposium on Novel Photoelectronic Detection Technology and Applications, 126176O (4 April 2023); https://doi.org/10.1117/12.2666729

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KEYWORDS

Optical flow

Digital image correlation

Deformation

Image processing

Algorithm development

Mathematical modeling

3D modeling

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