基于結(jié)構(gòu)稀疏性的單次曝光相位成像算法

練秋生; 齊秀梅; 陳書貞; 石保順

doi:10.11999/JEIT161171

基于結(jié)構(gòu)稀疏性的單次曝光相位成像算法

doi: 10.11999/JEIT161171

基金項(xiàng)目:

國家自然科學(xué)基金(61471313)，河北省自然科學(xué)基金(F2014203076)

計(jì)量
- 文章訪問數(shù): 1258
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- 被引次數(shù): 0
出版歷程
- 收稿日期: 2016-11-02
- 修回日期: 2017-02-26
- 刊出日期: 2017-07-19

Single-shot Phase Imaging Algorithm Based on Structural Sparsity

Funds:

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

摘要

摘要: 相位成像的關(guān)鍵是相位恢復(fù)。由于相位信息的丟失，相位恢復(fù)通常是不適定的，如何利用合適的先驗(yàn)信息進(jìn)行相位恢復(fù)是一個重要問題。該文在SPICA成像系統(tǒng)下提出了基于結(jié)構(gòu)稀疏性的單次曝光相位成像算法。該算法利用圖像全變差的重疊組結(jié)構(gòu)稀疏性，將重疊的結(jié)構(gòu)稀疏正則項(xiàng)以卷積形式表示，使求解過程更簡單，并利用最速下降法求解相應(yīng)的優(yōu)化問題。實(shí)驗(yàn)結(jié)果表明，該算法在有噪聲的情況下能夠有效地實(shí)現(xiàn)對復(fù)圖像的重構(gòu)。
- 相位恢復(fù) /
- 結(jié)構(gòu)稀疏 /
- 全變差 /
- 最速下降法
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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參考文獻(xiàn)(28)

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