A Scratch Covering Algorithm Using Affine Projection Method

A Scratch Covering Algorithm Using Affine Projection Method Math.Comput.Sci. https://doi.org/10.1007/s11786-018-0342-8 Mathematics in Computer Science A Scratch Covering Algorithm Using Affine Projection Method Irina Maria Artinescu · Liviu Octavian Mafteiu-Scai Received: 27 October 2017 / Revised: 27 April 2018 / Accepted: 7 May 2018 © Springer International Publishing AG, part of Springer Nature 2018 Abstract The restoration process attempts to recover an image that has been degraded and for this many approaches were used in time, but the filling-in with its two variants, apriori pattern and undamaged near border pattern are widely used. In this paper a new algorithm for “inpainting” a scratch of an image is proposed. The proposed algorithm uses a transfer of the information from the unaffected area to the damaged area by the bias of a dynamic pondered affine projection algorithm. The theoretical link between image recovery problem and the convex feasibility problem is discussed in this paper. More, the convergence of the proposed algorithm is proved. Keywords Image recovery · Convex feasibility problem · Inpainting · Affine projection Mathematics Subject Classification 68U10 · 68T10 1 Introduction The restoration of a damaged image affected by inpainting is a very important topic in images processing, the proof being the large number of scientific papers about http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematics in Computer Science Springer Journals

A Scratch Covering Algorithm Using Affine Projection Method

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Publisher
Springer International Publishing
Copyright
Copyright © 2018 by Springer International Publishing AG, part of Springer Nature
Subject
Mathematics; Mathematics, general; Computer Science, general
ISSN
1661-8270
eISSN
1661-8289
D.O.I.
10.1007/s11786-018-0342-8
Publisher site
See Article on Publisher Site

Abstract

Math.Comput.Sci. https://doi.org/10.1007/s11786-018-0342-8 Mathematics in Computer Science A Scratch Covering Algorithm Using Affine Projection Method Irina Maria Artinescu · Liviu Octavian Mafteiu-Scai Received: 27 October 2017 / Revised: 27 April 2018 / Accepted: 7 May 2018 © Springer International Publishing AG, part of Springer Nature 2018 Abstract The restoration process attempts to recover an image that has been degraded and for this many approaches were used in time, but the filling-in with its two variants, apriori pattern and undamaged near border pattern are widely used. In this paper a new algorithm for “inpainting” a scratch of an image is proposed. The proposed algorithm uses a transfer of the information from the unaffected area to the damaged area by the bias of a dynamic pondered affine projection algorithm. The theoretical link between image recovery problem and the convex feasibility problem is discussed in this paper. More, the convergence of the proposed algorithm is proved. Keywords Image recovery · Convex feasibility problem · Inpainting · Affine projection Mathematics Subject Classification 68U10 · 68T10 1 Introduction The restoration of a damaged image affected by inpainting is a very important topic in images processing, the proof being the large number of scientific papers about

Journal

Mathematics in Computer ScienceSpringer Journals

Published: May 28, 2018

References

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