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Proceedings Paper

Entropy uncertainty of multi-dimensional random variable
Author(s): Da-jun Li; Xia Yang; Jian-ya Gong
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Paper Abstract

Research on positional uncertainty of point is the basis of modeling uncertainty of line segment and polygon. The positional uncertainty indices of point have been widely studied in topography and metrology. In this paper, the exist entropy uncertainty interval of one-dimensional random variable is extended to the circumstances of two-dimensional, three-dimensional and N-dimensional by introducing the theory of information entropy. The indices of entropy uncertainty ellipse, entropy uncertainty ellipsoid and entropy uncertainty super ellipsoid are presented, which can be considered as the indices of uncertainty degree of the random point in two-dimensional, three-dimensional and multidimensional. The entropy indices presented in this paper are unaffected by the objective selection of the confidence level. And they are especially suitable for uncertainty measurement of the random points with unknown distribution in GIS.

Paper Details

Date Published: 10 November 2008
PDF: 8 pages
Proc. SPIE 7146, Geoinformatics 2008 and Joint Conference on GIS and Built Environment: Advanced Spatial Data Models and Analyses, 714613 (10 November 2008); doi: 10.1117/12.813130
Show Author Affiliations
Da-jun Li, East China Institute of Technology (China)
Xia Yang, East China Institute of Technology (China)
Jian-ya Gong, Wuhan Univ. (China)


Published in SPIE Proceedings Vol. 7146:
Geoinformatics 2008 and Joint Conference on GIS and Built Environment: Advanced Spatial Data Models and Analyses

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