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Analysis of the least median of squares estimator for computervision applications
Mintz, D.   Meer, P.   Rosenfeld, A.  
LSI Logic Corp., Milpitas, CA;

This paper appears in: Computer Vision and Pattern Recognition, 1992. Proceedings CVPR '92., 1992 IEEE Computer Society Conference on
Publication Date: 15-18 Jun 1992
On page(s): 621-623
Meeting Date: 06/15/1992 - 06/18/1992
Location: Champaign, IL, USA
ISBN: 0-8186-2855-3
References Cited: 4
INSPEC Accession Number: 4399897
Digital Object Identifier: 10.1109/CVPR.1992.223126
Current Version Published: 2002-08-06

Abstract
The robust least-median-of-squares (LMedS) estimator, which can recover a model representing only half the data points, was recently introduced in computer vision. Image data, however, is usually also corrupted by a zero-mean random process (noise) accounting for the measurement uncertainties. It is shown that in the presence of significant noise, LMedS loses its high breakdown point property. A different, two-stage approach in which the uncertainty due to noise is reduced before applying the simplest LMedS procedure is proposed. The superior performance of the technique is proved by comparative graphs

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