This paper aims at the random point

line and surface in vector GIS

based on the analysis of the point's probability density function

image and the error interval

error ellipse which are induced by positional uncertainty

elaborates the random line's

surface's probability density functions and images by means of the stochastic process and random field theory

presents the proper reasons of the line's error band and surface's error donut. The visual figures according to different conditions are given.