Combined First and Second Order Total Variation Inpainting using Split Bregman

Abstract
In this article we discuss the implementation of the combined first and second order total variation inpainting that was introduced by Papafitsoros and Schdönlieb. We describe the algorithm we use (split Bregman) in detail, and we give some examples that indicate the difference between pure first and pure second order total variation inpainting.

Citation
Papafitsoros K, Schoenlieb CB, Sengul B (2013) Combined First and Second Order Total Variation Inpainting using Split Bregman. Image Processing On Line 3: 112–136. Available: http://dx.doi.org/10.5201/ipol.2013.40.

Acknowledgements
All three authors acknowledge the financial support provided by the Cambridge Centre for Analysis (CCA) funded by the UK Engineering and Physical Sciences Research Council (EPSRC) grant EP/H023348/1. The first and third author also acknowledge the financial support of the Royal Society International Exchanges Award IE110314 for the project \High-order Compressed Sensing for Medical Imaging", the EPSRC / Isaac Newton Trust Small Grant \Non-smooth geometric reconstruction for high resolution MRI imaging of fluid transport in bed reactors" and the EPSRC first grant Nr. EP/J009539/1 \Sparse & Higher-order Image Restoration". Further, this publication is based on work supported by Award No. KUK-I1-007-43, made by King Abdullah University of Science and Technology (KAUST).

Publisher
Image Processing On Line

Journal
Image Processing On Line

DOI
10.5201/ipol.2013.40

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