Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Dictionary Learning with the K-SVDAlgorithm for Recovery of Highly Textured Images

Version 1 : Received: 31 May 2024 / Approved: 31 May 2024 / Online: 10 June 2024 (09:18:33 CEST)

How to cite: Köhler, A.; Breuß, M.; Shabani, S. Dictionary Learning with the K-SVDAlgorithm for Recovery of Highly Textured Images. Preprints 2024, 2024060355. https://doi.org/10.20944/preprints202406.0355.v1 Köhler, A.; Breuß, M.; Shabani, S. Dictionary Learning with the K-SVDAlgorithm for Recovery of Highly Textured Images. Preprints 2024, 2024060355. https://doi.org/10.20944/preprints202406.0355.v1

Abstract

Image recovery by dictionary learning is of potential interest for many possible applications. To learn a dictionary, one needs to solve a minimization problem where the solution should be sparse. The K-SVD formalism, which is a generalization of the K-means algorithm, is one of the most popular methods to achieve this aim. We explain the preprocessing that is needed to bring images into a manageable format for the optimization problem.The learning process then takes place in terms of solving for sparse representations of the image batches. The main contribution of this paper is to give an experimental analysis of the recovery for highly textured imagery. For our study, we employ a subset of the Brodatz database. We show that the recovery of sharp edges plays a considerable role. Additionally, we study the effects of varying the number dictionary elements for that purpose.

Keywords

image recovery; dictionary learning; sparse representation; textured images

Subject

Computer Science and Mathematics, Applied Mathematics

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