Compressed Sensing for Quaternionic Signals

被引：4
|
作者：
Gomes, Narciso [2 ]
Hartmann, Stefan [1 ]
Kahler, Uwe [1 ]
机构：
[1] Univ Aveiro, Aveiro, Portugal
[2] Univ Cabo Verde, Praia, Cape Verde
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2017年 / 11卷 / 02期
关键词：
Quaternionic signals; Compressed sensing; Sparsity constrains; RESTRICTED ISOMETRY PROPERTY; TRIGONOMETRIC POLYNOMIALS; FOURIER-TRANSFORM;
D O I：
10.1007/s11785-016-0607-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：417 / 455
页数：39
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