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Algebraic robust estimation employing Expectation Maximization
Author

Béla Paláncz
Organization: Budapest University of Technology and Economics
Department: Photogrammetry and Geoinformatics
Revision date

2014-05-12
Description

In this presentation a new robust technique employing expectation maximization to separate iteratively, outliers (corrupted data points) from inliers (true data points) represented by different Gaussian distributions is introduced. Once the parameters of these two Gaussian distributions are computed, the joint likelihood function of these two distributions can be maximized by algebraic method, employing numerical Groebner basis. Illustrative computations for plane fitting with synthetic test data as well as with data of real laser scanning experiment are presented. The results are compared with that of standard robust estimation techniques as The Danish and RANSAC methods
Subject

*Applied Mathematics > Numerical Methods
Keywords

Robust parameter estimation, expectation maximization, maximum likelihood method, numerical Groebner basis
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