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Authors: Jérôme Fehrenbach 1 ; Pierre Weiss 2 and Corinne Lorenzo 3

Affiliations: 1 IMT, France ; 2 Toulouse University, France ; 3 ITAV, France

ISBN: 978-989-8425-99-7

Keyword(s): Denoising, Cartoon+texture decomposition, Primal-dual algorithm, Stationary noise, Fluorescence microscopy.

Related Ontology Subjects/Areas/Topics: Applications ; Bayesian Models ; Cardiovascular Imaging and Cardiography ; Cardiovascular Technologies ; Convex Optimization ; Health Engineering and Technology Applications ; Medical Imaging ; Pattern Recognition ; Signal Processing ; Software Engineering ; Sparsity ; Theory and Methods

Abstract: Starting with a book of Y.Meyer in 2001, negative norm models attracted the attention of the imaging community in the last decade. Despite numerous works, these norms seem to have provided only luckwarm results in practical applications. In this work, we propose a framework and an algorithm to remove stationary noise from images. This algorithm has numerous practical applications and we show it on 3D data from a newborn microscope called SPIM. We also show that this model generalizes Meyer’s model and its successors in the discrete setting and allows to interpret them in a Bayesian framework. It sheds a new light on these models and allows to pick them according to some a priori knowledge on the texture statistics. Further results are available on our webpage at http://www.math.univ-toulouse.fr/~weiss/PagePublications.html.

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Paper citation in several formats:
Fehrenbach, J.; Weiss, P. and Lorenzo, C. (2012). A GENERALIZATION OF NEGATIVE NORM MODELS IN THE DISCRETE SETTING - Application to Stripe Denoising.In Proceedings of the 1st International Conference on Pattern Recognition Applications and Methods - Volume 2: ICPRAM, ISBN 978-989-8425-99-7, pages 337-342. DOI: 10.5220/0003742603370342

@conference{icpram12,
author={Jérôme Fehrenbach. and Pierre Weiss. and Corinne Lorenzo.},
title={A GENERALIZATION OF NEGATIVE NORM MODELS IN THE DISCRETE SETTING - Application to Stripe Denoising},
booktitle={Proceedings of the 1st International Conference on Pattern Recognition Applications and Methods - Volume 2: ICPRAM,},
year={2012},
pages={337-342},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003742603370342},
isbn={978-989-8425-99-7},
}

TY - CONF

JO - Proceedings of the 1st International Conference on Pattern Recognition Applications and Methods - Volume 2: ICPRAM,
TI - A GENERALIZATION OF NEGATIVE NORM MODELS IN THE DISCRETE SETTING - Application to Stripe Denoising
SN - 978-989-8425-99-7
AU - Fehrenbach, J.
AU - Weiss, P.
AU - Lorenzo, C.
PY - 2012
SP - 337
EP - 342
DO - 10.5220/0003742603370342

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