Combined First and Second Order Total Variation Inpainting using Split Bregman

Konstantinos Papafitsoros, Carola Bibiane Schoenlieb, Bati Sengul

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish (US)
Pages (from-to)112-136
Number of pages25
JournalImage Processing On Line
StatePublished - Jul 12 2013
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-I1-007-43
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).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.


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