In this paper, comparisons between several mathematical interpolation methods applied on high accuracy and huge laser clouds which only represents the DTM. In order to implicate the aforementioned, a group of a variety of Laser Scanned Areas has been
chosen to represent different types of terrain including complex and flat terrain, taking into account that man-made features are not involved in this study and that different Laser Clouds density is used to make the study more general.
A different set of algorithms were applied to conclude which one is more suitable. This step was followed by the comparison between different interpolation results. The results have shown that the Points'
Density has a great impact on a manner in which the optimal interpolation method is applied.
Moreover, it has proven that the Nearest Neighbor Algorithm is the best applied method compared with the other alternatives
We will first introduce the basic ingredient of Fourier methods in
section 1, then we will do some analysis on the Fourier
approximation, in the last section, we will apply the Fourier
method to solve some ODEs . we will write Matlab code for
num
erical result .
Groundwater is one of the major sources of exploitation in arid and semi-arid
regions, Thus for protecting groundwater quality, data on spatial and temporal distribution
are important. Geostatistics methods are one of the most advanced techniques f
or
interpolation of groundwater quality. In this research, IDW, Kriging methods were used for
predicting spatial distribution of nitrate NO3
-. Data were taken from 21 wells study within
eastern Damascus's Ghouta.
After normalization of data, variograme was drawn. The less RSS was used, so
Spherical model was the best. By using cross-validation and RMSE, the best method for
interpolation was selected; Results showed that Kriging method is superior to IDW
method.
there is a big spatial dependence for nitrate variable that amounts to 2.2 %. Finally,
maps of distribution of nitrate in groundwater were executed by Kriging method, in
addition to executed maps that show goodness of groundwater for drinking and irrigation.
Then it was prepared map of Probability Map of nitrate at threshold 50 mg/l.
In this study, we focused on the interpolation methods for the
derivation of digital elevation models, based on field gridding
observations with different spacing.
