基于卡通纹理模型的相位恢复算法

练秋生; 赵晓蕊; 石保顺; 陈书贞

doi:10.11999/JEIT151156

基于卡通纹理模型的相位恢复算法

doi: 10.11999/JEIT151156

基金项目:

国家自然科学基金(61471313)，河北省自然科学基金(F2014203076)

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- 被引次数: 0
出版历程
- 收稿日期: 2015-10-16
- 修回日期: 2016-02-25
- 刊出日期: 2016-08-19

Phase Retrieval Algorithm Based on Cartoon-texture Model

Funds:

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

摘要

摘要: 相位恢复是指仅利用图像的傅里叶幅值对原始图像进行恢复。由于傅里叶幅值中包含的信息量较少，当图像的过采样率相对较低时，传统的相位恢复算法无法实现图像的有效重构。因此如何利用合适的先验知识来提高图像重构质量是相位恢复的一个关键问题。该文将卡通-纹理模型用于相位恢复，利用全变差(TV)和双树复数小波(DTCWT)两种稀疏表示方法将图像分解为卡通成分和纹理成分，并提出了基于交替方向乘子法(ADMM)的有效求解算法。实验结果表明，该算法能有效提高图像重构质量。
- 图像处理 /
- 相位恢复 /
- 卡通-纹理模型 /
- 全变差 /
- 双树复数小波
Abstract: Phase retrieval is an issue that tries to recover an image from its Fourier magnitude measurements. Since the Fourier magnitude measurements contain less information, the traditional phase retrieval algorithms can not reconstruct the image efficiently under the scenario that the oversampling ratio is relatively low. Therefore, how to use the suitable image priors to improve the reconstruction quality of the image is the key issue. In this paper, the cartoon-texture model is utilized for phase retrieval algorithm. Two sparse representation methods including both Total Variation (TV) and Dual-Tree Complex Wavelet Transform (DTCWT) are exploited to decompose the image into two parts, namely the cartoon component and the texture component. Moreover, Alternating Direction Method of Multipliers (ADMM) is exploited to solve the corresponding problem. The experimental results show that the proposed algorithm can effectively improve the quality of image reconstruction.
- Image processing /
- Phase retrieval /
- Cartoon-texture model /
- Total Variation (TV) /
- Dual-Tree Complex Wavelet Transform (DTCWT)

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参考文献(30)

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