Morphological operation-based bi-dimensional empirical mode decomposition for automatic background removal of fringe patterns

Zhou, X. and Podoleanu, Adrian G.H. and Yang, Z. and Yang, T. and Zhao, H. (2012) Morphological operation-based bi-dimensional empirical mode decomposition for automatic background removal of fringe patterns. Optics Express, 20 (22). pp. 24247-24262. ISSN 1094-4087. (doi:https://doi.org/10.1364/OE.20.024247) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided)

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Abstract

A modified bi-dimensional empirical mode decomposition (BEMD) method is proposed for sparsely decomposing a fringe pattern into two components, namely, a single intrinsic mode function (IMF) and a residue. The main idea of this method is a modified sifting process which employs morphological operations to detect ridges and troughs of the fringes, and uses weighted moving average algorithm to estimate envelopes of the IMF, replacing respective local extrema detection and envelope interpolation of conventional BEMDs. The background intensity of the fringe pattern is automatically removed by extracting the single IMF, thereby relieving the mode mixing problem of the BEMDs. A fast algorithm based on 2D convolution is also presented for reducing the calculation time to several seconds only. This approach is applied to process simulated and real fringe patterns, and the results obtained are compared with Fourier transform, discrete wavelet transform, and other EMD methods.

Item Type: Article
Additional information: This is available as OPEN ACCESS by clicking on the URL.
Uncontrolled keywords: 2-D convolution, Background removal, Calculation time, EMD method, Empirical Mode Decomposition, Fast algorithms, Fringe pattern, Intrinsic Mode functions, Local extremum, Matlab code, Morphological operations, Two-component, Weighted moving average algorithms, Discrete wavelet transforms, Mathematical morphology, Signal processing
Subjects: Q Science > QC Physics
Q Science > QC Physics > QC355 Optics
Divisions: Faculties > Sciences > School of Physical Sciences > Applied Optics Group
Depositing User: Giles Tarver
Date Deposited: 16 Jul 2015 11:09 UTC
Last Modified: 08 May 2018 08:53 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/49369 (The current URI for this page, for reference purposes)
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