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Different upper values, namely 1.5, 2.5 and 3.5 are considered for the shift parameters.
The first one is to perform an exhaustive search of angle parameters and shift parameters (x, y) simultaneously, which requires to generate simulating images with every combination of angle and shift parameters to make comparison (Fig. 3A).
Thereafter, an exhaust search of the angle parameters within the defined ranges is performed with the pre-optimized shift parameters.
Binary interaction coefficients, volume shift parameters (Péneloux et al. 1982), and viscosity correlation parameters correspond to these properties.
As a result, n sets of optimized shift parameters are obtained, which are averaged to reduce error.
The advantage of using the present methodology is striking for positively skewed distribution and also for uniformly distributed shift parameters.
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where γ r denotes a shift parameter.
Process shift parameter when a single shift is considered.
Lower limit of the process shift parameter range.
Upper limit of the process shift parameter range.
Considering a beta probability distribution function for the shift parameter, the probability that the shift parameter, y occurs is f Y (y dy.
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