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Image Reconstruction From Double Random Projection

delete2014-06-01
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PRE
AI
Q
Qiang Zhang *
R
Robert J. Plemmons
DOI:10.1109/TIP.2014.2316642delete
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Abstract

Abstract

En 中文
We present double random projection methods for reconstruction of imaging data. The methods draw upon recent results in the random projection literature, particularly on low-rank matrix approximations, and the reconstruction algorithm has only two simple and noniterative steps, while the reconstruction error is close to the error of the optimal low-rank approximation by the truncated singular-value decomposition. We extend the often-required symmetric distributions of entries in a random-projection matrix to asymmetric distributions, which can be more easily implementable on imaging devices. Experimental results are provided on the subsampling of natural images and hyperspectral images, and on simulated compressible matrices. Comparisons with other random projection methods are also provided.
Keywords:
Random projection
random matrix
compressive sensing
compressible matrices
natural images
hyperspectral images

Journal

IEEE Transactions on Image Processing cover
IEEE Transactions on Image Processing
IF:
13.7
Papers:
1.0W
Citations:
8.4W

Organization

W
wake forest university
Scholars:
1.7W
Papers: 1.4W
Citations: 15