Single-shot Phase Imaging Algorithm Based on Structural Sparsity

LIAN Qiusheng; Qi Xiumei; CHEN Shuzhen; SHI Baoshun

doi:10.11999/JEIT161171

Volume 39 Issue 7

Jul. 2017

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Article Navigation > Journal of Electronics & Information Technology > 2017 > 39(7): 1546-1553

LIAN Qiusheng, Qi Xiumei, CHEN Shuzhen, SHI Baoshun. Single-shot Phase Imaging Algorithm Based on Structural Sparsity[J]. Journal of Electronics & Information Technology, 2017, 39(7): 1546-1553. doi: 10.11999/JEIT161171

Citation:

LIAN Qiusheng, Qi Xiumei, CHEN Shuzhen, SHI Baoshun. Single-shot Phase Imaging Algorithm Based on Structural Sparsity[J]. Journal of Electronics & Information Technology, 2017, 39(7): 1546-1553. doi: 10.11999/JEIT161171

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Single-shot Phase Imaging Algorithm Based on Structural Sparsity

doi: 10.11999/JEIT161171

Funds:

The National Natural Science Foundation of China (61471313), The Natural Science Foundation of Hebei Province (F2014203076)

Received Date: 2016-11-02
Rev Recd Date: 2017-02-26
Publish Date: 2017-07-19

Abstract

Abstract

The key issue in phase imaging is phase retrieval. Due to the loss of the phase information, the phase retrieval problem is usually ill-posed. How to realize the phase retrieval by using appropriate prior information is an important problem. In this work, based on single-shot phase imaging with a coded aperture, a single-shot phase imaging algorithm, which uses the structural sparsity, is proposed. The proposed algorithm exploits the overlapping structural sparsity of the total variation, and represents the structural sparsity in the form of convolution, making the problem easy to solve. Moreover, the steepest descent method is utilized to solve the corresponding optimization problem. The experiment results show that the complex amplitude can be reconstructed from noisy diffraction pattern using the proposed algorithm.
- Phase retrieval,
- Structural sparsity,
- Total variation,
- The steepest descent method

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References(28)

References

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