ADAPTIVE DATA-DRIVEN REGULARIZATION FOR VARIATIONAL IMAGE RESTORATION IN THE BV SPACE

Hongwei Zheng, Olaf Hellwich

Abstract

We present a novel variational regularization in the space of functions of Bounded Variation (BV) for adaptive data-driven image restoration. The discontinuities are important features in image processing. The BV space is well adapted for the measure of gradient and discontinuities. More over, the degradation of images includes not only random noises but also multiplicative, spatial degradations, i.e., blur. To achieve simultaneous image deblurring and denoising, a variable exponent linear growth functional on the BV space is extended in Bayesian estimation with respect to deblurring and denoising. The selection of regularization parameters is self-adjusting based on spatially local variances. Simultaneously, the linear and non-linear smoothing operators are continuously changed following the strength of discontinuities. The time of stopping the process is optimally determined by measuring the signal-to-noise ratio. The algorithm is robust in that it can handle images that are formed with different types of noises and blur. Numerical experiments show that the algorithm achieves more encouraging perceptual image restoration results.

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Paper Citation


in Harvard Style

Zheng H. and Hellwich O. (2007). ADAPTIVE DATA-DRIVEN REGULARIZATION FOR VARIATIONAL IMAGE RESTORATION IN THE BV SPACE . In Proceedings of the Second International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, ISBN 978-972-8865-73-3, pages 53-60. DOI: 10.5220/0002053900530060


in Bibtex Style

@conference{visapp07,
author={Hongwei Zheng and Olaf Hellwich},
title={ADAPTIVE DATA-DRIVEN REGULARIZATION FOR VARIATIONAL IMAGE RESTORATION IN THE BV SPACE},
booktitle={Proceedings of the Second International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP,},
year={2007},
pages={53-60},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002053900530060},
isbn={978-972-8865-73-3},
}


in EndNote Style

TY - CONF
JO - Proceedings of the Second International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP,
TI - ADAPTIVE DATA-DRIVEN REGULARIZATION FOR VARIATIONAL IMAGE RESTORATION IN THE BV SPACE
SN - 978-972-8865-73-3
AU - Zheng H.
AU - Hellwich O.
PY - 2007
SP - 53
EP - 60
DO - 10.5220/0002053900530060