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A new approach to simulate positional error of line segment in GIS
Authors:Zhang Lei  Deng Min  Chen Xiaoyong
Institution:Department of Remote Sensing and Geographic Information System , Asian Institute of Technology , Bangkok , Thailand
Abstract:To determine the distribution of positional error of a line segment, Monte Carlo approach is applied to simulate the probability density function of a line segment with the assumption that the error of endpoints in a line segment follows a two-dimensional normal distribution. For such purpose, a stochastic generator used for uncertain endpoints with the two-dimensional normal distribution is presented. This forms the basis of the generation of random line segment for the simulation of the error model of a whole line segment. The error models cover the cases where two endpoints are either independent or dependent to each other, also including a special case that the distance between two random endpoints in a line segment is close enough.
Keywords:positional error  Monte Carlo simulation  line segment  stochastic point generator
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