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Implementation of Total Variation Applied to Motion Magnification for Structural Dynamic Identification

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Rotating Machinery, Optical Methods & Scanning LDV Methods, Volume 6

Abstract

Motion magnification has gained popularity within the scientific community for its non-invasive approach to structural health monitoring. Due to the arduous task of instrumenting complex geometric structures, phase-based motion magnification (MM) permits an amplification of small motions that are not visible to the naked eye. Although MM offers a potential alternative to manual instrumentation, the extracted motion may contain artifacts due to the amplification factor. Depending upon the value of magnification, noisy displacement measurements can be present which tend to produce inconclusive results concerning frequency content. This paper presents the application of total variation (TV) to improve the amount noise present in extracted phase displacements. In the presence of large artifacts that come as a result of the magnification factor, the improvement of a spectral signal produces a more conclusive frequency response of the experimental structure. Prior work has attempted to zoom into a small range of pixels to increase spectral resolution; however, this limits the field of view and does not capture a large dynamic range of motion. Total variation has the capability of improving spectral resolution without having to spatially zoom in on a group of pixels. In this work, the modified method of motion magnification and total variation (MMTV) is applied to a simple geometric structure for structural dynamic identification.

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Acknowledgements

This material is based upon work supported by the National Science Foundation under Grant No. 1762809. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.

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Correspondence to Zhu Mao .

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Valente, N.A., Mao, Z., Southwick, M., Niezrecki, C. (2020). Implementation of Total Variation Applied to Motion Magnification for Structural Dynamic Identification. In: Di Maio, D., Baqersad, J. (eds) Rotating Machinery, Optical Methods & Scanning LDV Methods, Volume 6. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-030-47721-9_17

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