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This action increases the overall dynamic range and is analogous to a white point correction [26] or white stretch function [27].
Such regions would have diminished capability of affording appropriate stretch function to resist tearing under compression.
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This article also explores an alternative exponential complex coordinate stretching function for the PML in order to improve solution convergence.
This formulation has been termed the γ stretching function and provides an analytical solution that, in contrast with hybrid schemes, allows gradual coordinate changes in the vertical and horizontal.
A fast descent algorithm, resorting to a "stretching" function technique and built on one hybrid method (GRSA) which combines simulated annealing (SA) algorithm and gradient based methods for large scale global optimizations, is proposed.
In [28], the authors proposed a common formulation using the image gradient, ( {leftVert left|nabla uright|-k{T}_{varepsilon}left left|nabla {G}_{sigma}ast {u}_0right|right)rightVert}_{L^2left varOmega right)}^2 ) where T ε is a piecewise stretching function and G σ is a Gaussian kernel with the standard deviation σ.
For example, in [26], a stretching function f is employed in fidelity term in TV regulation to enhance the contrast (TV-FF), where the new fidelity term is defined as ( {leftVert mathit{mathsf{g}} u -{u}_0rightVert} u -{u}_0rightVert right)}^2 ) with ( mathit{mathsf{g}}={f}^{-1} ).
In order to further improve absorbing performance, the parameter values of stretching functions in the higher-order PML are optimized by the multi-objective genetic algorithm (MOGA).
θ-grid stretching functions comparing the transcendental function (vartheta(theta_{mathrm{KS}})) (solid red curves) with the cubic approach (solid blue curves) for (h=0.9).
Also measured was the Meneveau Poinsot stretch efficiency function (ΓK), which plays a central role in the coherent flamelet model.
The temporal evolution of each PL decay could be expressed by neither single and double exponential functions nor stretched exponential function.
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