مقایسه بین تخمینگرهای کریجینگ و جابجایی نقطه میانی در شبیه سازی سطوح

To simulate surfaces, we can utilize many of the estimators already in use. This study is concerned with a comparison between the Kriging Estimator and the Random Midpoint Displacement (RMD) method. To this end, the hypothetical surfaces with various fractal dimensions were designed. Then some of the data points were removed. They were then estimated once through the Kriging Estimator and once through the RMD method. The average and variance of the Estimation Error obtained through the two algorithms were compared. The results showed that the average and variance of the Estimation Error of all the surfaces estimated through the Kriging Estimator were always significantly less than those estimated through the other method. It was proved that the Kriging Estimator is not a statistically method to simulate surfaces, although it may Yield the lowest variance. However, the RMD method can simulate a surface while maintaining the fractal dimension of the original surface.

کلید واژه ها: سایر موارد