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Authors: Jean-Philippe Tarel 1 ; Pierre Charbonnier 2 and Sio-Song Ieng 3

Affiliations: 1 ESE, Laboratoire Central des Ponts et Chaussées, France ; 2 ERA 27 LCPC, Laboratoire des Ponts et Chaussées, France ; 3 ERA 17 LCPC, Laboratoire des Ponts et Chaussées, France

ISBN: 978-972-8865-73-3

Keyword(s): Image Analysis, Statistical Approach, Robust Fitting, Multiple Fitting, Image Grouping and Segmentation.

Related Ontology Subjects/Areas/Topics: Computer Vision, Visualization and Computer Graphics ; Image and Video Analysis ; Segmentation and Grouping ; Statistical Approach

Abstract: In this paper, we address the problem of robustly recovering several instances of a curve model from a single noisy data set with outliers. Using M-estimators revisited in a Lagrangian formalism, we derive an algorithm that we call SMRF, which extends the classical Iterative Reweighted Least Squares algorithm (IRLS). Compared to the IRLS, it features an extra probability ratio, which is classical in clustering algorithms, in the expression of the weights. Potential numerical issues are tackled by banning zero probabilities in the computation of the weights and by introducing a Gaussian prior on curves coefficients. Applications to camera calibration and lane-markings tracking show the effectiveness of the SMRF algorithm, which outperforms classical Gaussian mixture model algorithms in the presence of outliers.

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Paper citation in several formats:
Tarel J.; Charbonnier P.; Ieng S. and (2007). SIMULTANEOUS ROBUST FITTING OF MULTIPLE CURVES.In Proceedings of the Second International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, ISBN 978-972-8865-73-3, pages 175-182. DOI: 10.5220/0002040801750182

@conference{visapp07,
author={Jean{-}Philippe Tarel and Pierre Charbonnier and Sio{-}Song Ieng},
title={SIMULTANEOUS ROBUST FITTING OF MULTIPLE CURVES},
booktitle={Proceedings of the Second International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP,},
year={2007},
pages={175-182},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002040801750182},
isbn={978-972-8865-73-3},
}

TY - CONF

JO - Proceedings of the Second International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP,
TI - SIMULTANEOUS ROBUST FITTING OF MULTIPLE CURVES
SN - 978-972-8865-73-3
AU - Tarel, J.
AU - Charbonnier, P.
AU - Ieng, S.
PY - 2007
SP - 175
EP - 182
DO - 10.5220/0002040801750182

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