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
Mathematics in Computer Science – Springer Journals
Published: May 28, 2018
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