The algorithm can simplify mesh models effectively, it also uses distance-weighting for viewport-clipping, results in view-dependent simplified mesh model.

Samples weights are properly solved through introducing the concept of weighted distance between weighted sample and hyperplane.

The weighted distance between two adjacent intervals is defined using relative class frequency in the algorithm.

This paper pointted out some faults in some distance formulas of Vague set(value),and give a weighed distance formula of vague set.

A weighed distance formula of vague set was proposed.

Using the weighed distance formulas of Vague set,a new bidirectional approximate reasoning method based on distances of Vague set was presented.

In order to meet requirement that scene matching aided navigation system must get aircraft position error real-timely, an image matching algorithm based on genetic algorithm and weighted Hausdorff distance was proposed.

At the low-level matching step, the weighted Hausdorff distance algorithm was utilized to obtain pixel-level precision of position errors.

This paper analyzes the soil sample data by three mothods after they were collected from 120hm 2 of field in Suxi Mirror Village, Taihe County, Jiangxi Province, which were inverse distance weight interpolation, field average value and spatial variability interpolation model of field nutrients respectively.