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.
Documents
11877:37638
11877:37639
PDF
Pasialis - Shape descriptors and mapping methods - manuscript.pdf - Accepted Version
Available under License All rights reserved.
Pasialis - Shape descriptors and mapping methods - manuscript.pdf - Accepted Version
Available under License All rights reserved.
Download (2MB) | Preview
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.
More Information
Statistics
Downloads
Downloads per month over past year
Metrics
Altmetric Badge
Dimensions Badge
Share
Actions (login required)
![]() |
View Item |