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Since the estimated dimension of the green points was 3, we separated those trajectories.
The inaccurately estimated dimension of the signal subspace may affect the computation of the main lobe constraint and may further deteriorate the performance of main lobe maintenance and the output SNR.
Such mistakes (less than 0.5% of frames for all considered videos) determined rapid, not physiological variations of the estimated dimension and motion of the pupil, so that they could be automatically identified and removed (by cubic interpolation).
The estimated dimension can approximate the optimal dimension, i.e. the dimension of the signal subspace.
In Figure 2c, we present the variability of the estimated dimension of the signal-plus-noise subspace for the parameter θ=3.
Dim indicates the estimated dimension of the affine space which includes input trajectories.
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Hence, the method is able to track a variable number of vehicles and classify them according to their estimated dimensions.
Molecular dynamic simulations estimated dimensions of XG monomers unit as 1.41-1.49 nm (length) and 0.62 0.75 nm (width) [ 40], depending on the number of side-chains.
The efficiency of the integral or point counting methods of estimating dimension is discussed and it is shown how it can be increased by order of magnitude factors using random sampling.
An analytic heat transfer model is first developed to estimate dimensions of the heating element.
Therefore, the estimated fractal dimension of channel networks is correlated with the fractal dimension of surface topography to determine the mutual functional relationship.
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