This paper presents a new method for filtering noise occurring in point cloud sampled data. The method smoothes the data set whereas preserves sharp features. We propose a new weighted variant of the principal component analysis method, which instead of using exponential weighting factors inversely proportional to the Euclidean distance to the mean, which is computationally expensive, uses weig...

the aim of this study preparation of the predicted soil maps by using kriging and inverse distance weighting methods in east rangeland of semnan. sampling was done within each unit of sampling parallel transects and 1 vertical transect with 750m length. soil samples were taken from 0-20 cm in starting and ending points of each transect. there were used kriging and inverse distance weighting met...

We consider distance matrices of certain graphs and of points chosen in a rectangular grid. Formulae for the inverse and the determinant of the distance matrix of a weighted tree are obtained. Results concerning the inertia and the determinant of the distance matrix of an unweighted unicyclic graph are proved. If D is the distance matrix of a tree, then we obtain certain results for a perturbat...

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This study focuses on evaluating the suitability of three interpolation methods in terms of their accuracy, for small urban catchments. The Bridgewater Creek catchment in south Brisbane is the region of study. Thirteen storm events measured over 24-hours are interpolated using an inverse-distance weighted average method, thin plate smoothing spline, and an ordinary kriging technique. The delete...