The Effects Of Realized Profiles In The Reconstruction...

A constant regularisation parameter (ÃŽ »=1e-28) and DF operator matrix was used throughout the reconstruction process. This is mainly to allow evaluate only the effects of data errors on the reconstructed profiles by maintaining all other parameters constant. Figure 6.8 (a) show the reconstructed profiles of the simulated graphite brick using the six replicated data sets each contaminated with different level of errors. As it would be expected the most representative reconstruction of the true profile is obtained when the smallest amount error is applied on the replicated data (1 % error). Similar trend can also be seen in figure 6.8 (b), where the objective function settles at a lowest value for the solution corresponding to the data with†¦show more content†¦This can be clearly seen in figure 6.8 (d) where the profiles are reconstructed using the data consisting 4 % and 5 % multi-crossing errors, which show much more accuracy than the profiles reconstructed using the rep licated data with identical amounts of errors. One of the reasons that the multi-crossing errors produced better accuracy could be due to the constant distributions of the errors at each frequency points allowing the algorithm to fit the curves with reasonable degree of accuracy compared with the replicated data. Although these types of errors are not normally expected within the problem considered in this thesis, these results reveal that the accuracy of the reconstructed profiles depends upon both the amount of error and the error distributions on the data. The fact that the reconstructed solutions using the replicated data (figure 6.8 (a)) moved away from the true profile as the levels of data error are increased, and still continued to show reduction in objective function also suggests that the algorithm might have been trapped in local minimum. This means additional priori information may need to be incorporated within the algorithm to constrain the solution around the true profile, in particular in the situations where the replicated calibration error is more than 2% of the original data. Nevertheless, the estimated near bore conductivity solution of the replicated data showShow MoreRelatedNanotechnology Essay716 Words   |  3 PagesNanotechnology is widely used in many industrial areas such as, computing, pharmaceuticals, cosmetics, textile industries and many more. The major challenge is not only to make these materials smaller in size in order to store or process more information but also to optimize the synthesis process. 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