Finite strain estimation from deformed elliptical markers: The minimized Ri¯ (MIRi) iterative method
作者： Stefano Vitale
DOI: 10.1016/J.JSG.2014.09.010
关键词: State (functional analysis) 、 Deformation (engineering) 、 Arithmetic mean 、 Mathematics 、 Geometry 、 Aspect ratio (image) 、 Order (group theory) 、 Standard deviation 、 Finite strain theory 、 Iterative method
摘要: Abstract A new technique for estimating the finite strain of deformed elliptical markers is presented. This method based on property arithmetic mean Rf ¯ object aspect ratios to reach its minimum value in undeformed state when they correspond initial Ri. The minimized Ri (MIRi) iterative furnishes best results when, pre-strain state, are uniformly orientated every ratio (Ri) class. Matlab code, provided this study, finds values Rs and maximum stretching direction X that minimize by means several iterations. In order define uncertainties X, code: (i) re-samples h-times original (Ri, θ) dataset; (ii) assigns random long axis angles θ; (iii) deforms newly synthetic (iv) re-applies MIRi method; finally (v) estimates standard deviation (Rs, X) values. Tests aggregates two naturally rocks provide compared with estimations from other available methods.
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