Research on Cone-shaped Models of Cardinal Direction Relations Considering Positional Uncertainty of Multiple Spatial-scale Data

Uncertainty of spatial data is variable accordingly when spatial scale changes,which impacts description of spatial relations.This paper develops uncertain cone models to describe cardinal directions considering uncertainty variety of spatial data because of scale change.Centriod is introduced as a reference point and expanded uncertainty parameter changed with variable scales is appended in cardinal direction relation cone-shaped model.Direction relations are formalized to adapt variety of cardinal directions because of scale transforming.The model partitions the direction relations with smooth transition regions,which accords with percipience on direction concept description.