Image reconstruction based on circulant matrices

作者：

Highlights：

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• A new method for image reconstruction is proposed.

• This method uses a simple and classical algebraic tool, the circulant matrix.

• Comparison with PCA, DFT and Randomized Singular Value Decomposition (RSVD).

• The quality of this method is comparable whilst the computational time is reduced.

摘要

•A new method for image reconstruction is proposed.•This method uses a simple and classical algebraic tool, the circulant matrix.•Comparison with PCA, DFT and Randomized Singular Value Decomposition (RSVD).•The quality of this method is comparable whilst the computational time is reduced.

论文关键词：PCA,Signal processing,Image reconstruction,Circulant matrices,Toeplitz matrices

论文评审过程：Received 14 March 2017, Revised 11 October 2017, Accepted 29 January 2018, Available online 7 February 2018, Version of Record 16 February 2018.

论文官网地址：https://doi.org/10.1016/j.image.2018.01.010