Compressed Sensing for Quaternionic Signals

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• 作者：Narciso Gomes ; Stefan Hartmann ; Uwe Kähler
• 关键词：Quaternionic signals ; Compressed sensing ; Sparsity constrains
• 刊名：Complex Analysis and Operator Theory
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：11
• 期：2
• 页码：417-455
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general; Operator Theory; Analysis;
• 出版者：Springer International Publishing
• ISSN：1661-8262
• 卷排序：11

文摘

We study the problem of compressed sensing for quaternionic Fourier matrices as arising in color representation of images. We will show that such matrices are allowing a sparse reconstruction by means of an \(l_1\)-minimization with high probability. Examples of sparse sampling of color images are provided.