Shape descriptors and mapping methods for full-field comparison of experimental to simulation data

PASIALIS, Vasileios and LAMPEAS, George (2015). Shape descriptors and mapping methods for full-field comparison of experimental to simulation data. Applied Mathematics and Computation, 256, 203-221.

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Abstract

Validation of computational solid mechanics simulations requires full-field comparison methodologies between numerical and experimental results. The continuous Zernike and Chebyshev moment descriptors are applied to decompose data obtained from numerical simulations and experimental measurements, in order to reduce the high amount of ‘raw’ data to a fairly modest number of features and facilitate their comparisons. As Zernike moments are defined over a unit disk space, a geometric transformation (mapping) of rectangular to circular domain is necessary, before Zernike decomposition is applied to non-circular geometry. Four different mapping techniques are examined and their decomposition/ reconstruction efficiency is assessed. A deep mathematical investigation to the reasons of the different performance of the four methods has been performed, comprising the effects of image mapping distortion and the numerical integration accuracy. Special attention is given to the Schwarz–Christoffel conformal mapping, which in most cases is proven to be highly efficient in image description when combined to Zernike moment descriptors. In cases of rectangular structures, it is demonstrated that despite the fact that Zernike moments are defined on a circular domain, they can be more effective even from Chebyshev moments, which are defined on rectangular domains, provided that appropriate mapping techniques have been applied.

Item Type:	Article
Research Institute, Centre or Group - Does NOT include content added after October 2018:	Materials and Engineering Research Institute > Materials Analysis and Research Services
Identification Number:	https://doi.org/10.1016/j.amc.2014.12.150
Page Range:	203-221
Depositing User:	Vasileios Pasialis
Date Deposited:	05 Apr 2016 15:10
Last Modified:	18 Mar 2021 11:40
URI:	https://shura.shu.ac.uk/id/eprint/11877

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