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A Robust PCA Algorithm for Building Representations from Panoramic Images

Danijel SkočajContact Information, Horst BischofContact Information and Aleš LeonardisContact Information

(7)  Faculty of Computer and Information Science, University of Ljubljana, Slovenia
(8)  Inst. for Computer Graphics and Vision, Graz University of Technology, Austria
Abstract
Appearance-based modeling of objects and scenes using PCA has been successfully applied in many recognition tasks. Robust methods which have made the recognition stage less susceptible to outliers, occlusions, and varying illumination have further enlarged the domain of applicability. However, much less research has been done in achieving robustness in the learning stage. In this paper, we propose a novel robust PCA method for obtaining a consistent subspace representation in the presence of outlying pixels in the training images. The method is based on the EM algorithm for estimation of principal subspaces in the presence of missing data. By treating the outlying points as missing pixels, we arrive at a robust PCA representation. We demonstrate experimentally that the proposed method is efficient. In addition, we apply the method to a set of panoramic images to build a representation that enables surveillance and view-based mobile robot localization.
D. S. and A. L. acknowledge the support from the Ministry of Education, Science, and Sport of Republic of Slovenia (Research Program 506). H. B. was supported by the K plus Competence Center ADVANCED COMPUTER VISION.

Contact Information Danijel Skočaj
Email: danijels@fri.uni-lj.si

Contact Information Horst Bischof
Email: bischof@icg.tu-graz.ac.at

Contact Information Aleš Leonardis
Email: alesl@fri.uni-lj.si
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