loading
Documents

Research.Publish.Connect.

Paper

Paper Unlock

Authors: Paul Escande ; Pierre Weiss and Francois Malgouyres

Affiliation: Université de Toulouse and CNRS, France

ISBN: 978-989-8565-41-9

Keyword(s): Image Deblurring, Spatially Varying Blur, Operator Approximation, Wavelet Packet Transform, Bi-harmonic Spline Interpolation, Convex Optimization.

Related Ontology Subjects/Areas/Topics: Applications ; Bayesian Models ; Bioinformatics and Systems Biology ; Cardiovascular Imaging and Cardiography ; Cardiovascular Technologies ; Convex Optimization ; Exact and Approximate Inference ; Health Engineering and Technology Applications ; Medical Imaging ; Model Selection ; Pattern Recognition ; Signal Processing ; Software Engineering ; Theory and Methods

Abstract: Restoration of images degraded by spatially varying blurs is an issue of increasing importance. Many new optical systems allow to know the system point spread function at some random locations, by using microscopic luminescent structures. Given a set of impulse responses, we propose a fast and efficient algorithm to reconstruct the blurring operator in the whole image domain. Our method consists in finding an approximation of the integral operator by operators diagonal in the wavelet domain. Interestingly, this method complexity scales linearly with the image size. It is thus applicable to large 3D problems. We show that this approach might outperform previously proposed strategies such as linear interpolations (Nagy and O’Leary, 1998) or separable approximations (Zhang et al., 2007). We provide various theoretical and numerical results in order to justify the proposed methods.

PDF ImageFull Text

Download
CC BY-NC-ND 4.0

Sign In Guest: Register as new SciTePress user now for free.

Sign In SciTePress user: please login.

PDF ImageMy Papers

You are not signed in, therefore limits apply to your IP address 34.231.247.139

In the current month:
Recent papers: 100 available of 100 total
2+ years older papers: 200 available of 200 total

Paper citation in several formats:
Escande, P.; Weiss, P. and Malgouyres, F. (2013). Spatially Varying Blur Recovery - Diagonal Approximations in the Wavelet Domain.In Proceedings of the 2nd International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM, ISBN 978-989-8565-41-9, pages 222-228. DOI: 10.5220/0004308202220228

@conference{icpram13,
author={Paul Escande. and Pierre Weiss. and Francois Malgouyres.},
title={Spatially Varying Blur Recovery - Diagonal Approximations in the Wavelet Domain},
booktitle={Proceedings of the 2nd International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM,},
year={2013},
pages={222-228},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004308202220228},
isbn={978-989-8565-41-9},
}

TY - CONF

JO - Proceedings of the 2nd International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM,
TI - Spatially Varying Blur Recovery - Diagonal Approximations in the Wavelet Domain
SN - 978-989-8565-41-9
AU - Escande, P.
AU - Weiss, P.
AU - Malgouyres, F.
PY - 2013
SP - 222
EP - 228
DO - 10.5220/0004308202220228

Login or register to post comments.

Comments on this Paper: Be the first to review this paper.