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Gaussian process machine learning-based surface extrapolation method for improvement of the edge effect in surface filtering

Liu, Ming Yu ; Cheung, Chi Fai; Feng, Xiaobing; Ho, Lai Ting ; Yang, Shu Ming

Authors

Chi Fai Cheung

Xiaobing Feng

Lai Ting Ho

Shu Ming Yang



Abstract

Filtering for signal and data is an important technology to reduce and/or remove noise signal for further extraction of desired information. However, it is well known that significant distortions may occur in the boundary areas of the filtered data because there is no sufficient data to be processed. This drawback largely affects the accuracy of topographic measurements and characterizations of precision freeform surfaces, such as freeform optics. To address this issue, a Gaussian process machine learning-based method is presented for extrapolation of the measured surface to an extended measurement area with high accuracy prior to filtering the surface. With the extrapolated data, the edge distortion can be effectively reduced. The effectiveness of this method was evaluated using both simulated and experimental data. Successful implementation of the proposed method not only addresses the issue in surface filtering but also provides a promising solution for numerous applications involving filtering processes.

Journal Article Type Article
Publication Date 2019-04
Journal Measurement
Print ISSN 1536-6367
Publisher Taylor & Francis (Routledge)
Peer Reviewed Peer Reviewed
Volume 137
Pages 214-224
APA6 Citation Liu, M. Y., Cheung, C. F., Feng, X., Ho, L. T., & Yang, S. M. (2019). Gaussian process machine learning-based surface extrapolation method for improvement of the edge effect in surface filtering. Measurement, 137, 214-224. https://doi.org/10.1016/j.measurement.2019.01.048
DOI https://doi.org/10.1016/j.measurement.2019.01.048
Keywords Instrumentation; Electrical and Electronic Engineering; Applied Mathematics; Condensed Matter Physics
Publisher URL https://www.sciencedirect.com/science/article/pii/S0263224119300247?via%3Dihub

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