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A Novel Bayesian Method for Fitting a Circle to Noisy Points

Baum, Marcus; Klumpp, Vesa; Hanebeck, Uwe D.

Abstract:

This paper introduces a novel recursive Bayesian estimator for the center and radius of a circle based on noisy points. Each given point is assumed to be a noisy measurement of an unknown true point on the circle that is corrupted with known isotropic Gaussian noise. In contrast to existing approaches, the novel method does not make assumptions about the true points on the circle, where the measurements stem from. Closed-form expressions for the measurement update step are derived. Simulations show that the novel method outperforms standard Bayesian approaches for circle fitting.


Volltext §
DOI: 10.5445/IR/1000035086
Originalveröffentlichung
DOI: 10.1109/icif.2010.5711884
Dimensions
Zitationen: 23
Cover der Publikation
Zugehörige Institution(en) am KIT Fakultät für Informatik – Institut für Anthropomatik (IFA)
Publikationstyp Proceedingsbeitrag
Publikationsjahr 2010
Sprache Englisch
Identifikator ISBN: 978-0-9824438-1-1
urn:nbn:de:swb:90-350868
KITopen-ID: 1000035086
Erschienen in Proceedings of the 13th International Conference on Information Fusion (Fusion 2010), Edinburgh, United Kingdom, 26-29 July 2010
Verlag Institute of Electrical and Electronics Engineers (IEEE)
Seiten 6 S.
Nachgewiesen in Dimensions
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