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基于卡通紋理模型的相位恢復(fù)算法

練秋生,  趙曉蕊,  石保順,  陳書貞

練秋生, 趙曉蕊, 石保順, 陳書貞. 基于卡通紋理模型的相位恢復(fù)算法[J]. 電子與信息學(xué)報(bào), 2016, 38(8): 1991-1998. doi: 10.11999/JEIT151156
引用本文: 練秋生, 趙曉蕊, 石保順, 陳書貞. 基于卡通紋理模型的相位恢復(fù)算法[J]. 電子與信息學(xué)報(bào), 2016, 38(8): 1991-1998. doi: 10.11999/JEIT151156
LIAN Qiusheng, ZHAO Xiaorui, SHI Baoshun, CHEN Shuzhen. Phase Retrieval Algorithm Based on Cartoon-texture Model[J]. Journal of Electronics & Information Technology, 2016, 38(8): 1991-1998. doi: 10.11999/JEIT151156
Citation: LIAN Qiusheng, ZHAO Xiaorui, SHI Baoshun, CHEN Shuzhen. Phase Retrieval Algorithm Based on Cartoon-texture Model[J]. Journal of Electronics & Information Technology, 2016, 38(8): 1991-1998. doi: 10.11999/JEIT151156

基于卡通紋理模型的相位恢復(fù)算法

doi: 10.11999/JEIT151156
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)

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: 相位恢復(fù)是指僅利用圖像的傅里葉幅值對原始圖像進(jìn)行恢復(fù)。由于傅里葉幅值中包含的信息量較少，當(dāng)圖像的過采樣率相對較低時(shí)，傳統(tǒng)的相位恢復(fù)算法無法實(shí)現(xiàn)圖像的有效重構(gòu)。因此如何利用合適的先驗(yàn)知識來提高圖像重構(gòu)質(zhì)量是相位恢復(fù)的一個(gè)關(guān)鍵問題。該文將卡通-紋理模型用于相位恢復(fù)，利用全變差(TV)和雙樹復(fù)數(shù)小波(DTCWT)兩種稀疏表示方法將圖像分解為卡通成分和紋理成分，并提出了基于交替方向乘子法(ADMM)的有效求解算法。實(shí)驗(yàn)結(jié)果表明，該算法能有效提高圖像重構(gòu)質(zhì)量。
    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.
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出版歷程
  • 收稿日期:  2015-10-16
  • 修回日期:  2016-02-25
  • 刊出日期:  2016-08-19

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