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Authors: Johannes Herwig ; Timm Linder and Josef Pauli

Affiliation: University of Duisburg-Essen, Germany

Keyword(s): Deconvolution, Bayesian Inference, Sparse Gradient Priors, Two-color Model, Parameter Learning.

Related Ontology Subjects/Areas/Topics: Applications ; Bayesian Models ; Convex Optimization ; Exact and Approximate Inference ; Pattern Recognition ; Sensors and Early Vision ; Software Engineering ; Sparsity ; Theory and Methods

Abstract: We tackle deconvolution of motion blur in hand-held consumer photography with a Bayesian framework combining sparse gradient and color priors for regularization. We develop a closed-form optimization utilizing iterated re-weighted least squares (IRLS) with a Gaussian approximation of the regularization priors. The model parameters of the priors can be learned from a set of natural images which resemble common image statistics. We throughly evaluate and discuss the effect of different regularization factors and make suggestions for reasonable values. Both gradient and color priors are current state-of-the-art. In natural images the magnitude of gradients resembles a kurtotic hyper-Laplacian distribution, and the two-color model exploits the observation that locally any color is a linear approximation between some primary and secondary colors. Our contribution is integrating both priors into a single optimization framework and providing a more detailed derivation of their optimization functions. Our re-implementation reveals different model parameters than previously published, and the effectiveness of the color priors alone are explicitly examined. Finally, we propose a context-adaptive parameterization of the regularization factors in order to avoid over-smoothing the deconvolution result within highly textured areas. (More)

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Paper citation in several formats:
Herwig, J.; Linder, T. and Pauli, J. (2014). Removing Motion Blur using Natural Image Statistics. In Proceedings of the 3rd International Conference on Pattern Recognition Applications and Methods - ICPRAM; ISBN 978-989-758-018-5; ISSN 2184-4313, SciTePress, pages 125-136. DOI: 10.5220/0004830201250136

@conference{icpram14,
author={Johannes Herwig. and Timm Linder. and Josef Pauli.},
title={Removing Motion Blur using Natural Image Statistics},
booktitle={Proceedings of the 3rd International Conference on Pattern Recognition Applications and Methods - ICPRAM},
year={2014},
pages={125-136},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004830201250136},
isbn={978-989-758-018-5},
issn={2184-4313},
}

TY - CONF

JO - Proceedings of the 3rd International Conference on Pattern Recognition Applications and Methods - ICPRAM
TI - Removing Motion Blur using Natural Image Statistics
SN - 978-989-758-018-5
IS - 2184-4313
AU - Herwig, J.
AU - Linder, T.
AU - Pauli, J.
PY - 2014
SP - 125
EP - 136
DO - 10.5220/0004830201250136
PB - SciTePress