物理可实现的相位编码压缩成像

doi:10.3969/j.issn.0372-2112.2013.05.023

电子学报 ›› 2013, Vol. 41 ›› Issue (5): 982-986.DOI: 10.3969/j.issn.0372-2112.2013.05.023

物理可实现的相位编码压缩成像

张成¹, 程鸿^1,2, 张芬¹, 沈川¹, 韦穗¹

1. 安徽大学计算智能与信号处理教育部重点实验室,安徽合肥 230039;
2. 安徽省现代成像与显示技术重点实验室,安徽合肥 230039

收稿日期:2012-05-07 修回日期:2012-12-08 出版日期:2013-05-25
- 通讯作者:
- 韦穗 女,1946年出生,广西桂林人,教授,博导.研究方向为图像处理、三维全息显示. E-mail:swei@ahu.edu.cn
- 作者简介:
- 张成 男,1984年出生,安徽庐江人,博士.研究方向为光学成像,相位检索与信号处理. E-mail:question1996@163.com
- 基金资助:
- NSFC-广东联合基金 (No.U1201255); 高校博士点基金 (No.20113401130001); 安徽省自然科学基金 (No.1208085QF114); 安徽大学博士科研启动经费 (No.33190218); 安徽大学青年基金 (No.KJQN1120)

Physical Realizable Phase Encoding Compressed Imaging

ZHANG Cheng¹, CHENG Hong^1,2, ZHANG Fen¹, SHEN Chuan¹, WEI Sui¹

1. Key Laboratory of Intelligent Computing & Signal Processing,Anhui University,Hefei,Anhui 230039,China;
2. Key Laboratory of Modern Imaging and Displaying Technology of Anhui Province,Hefei,Anhui 230039,China

Received:2012-05-07 Revised:2012-12-08 Online:2013-05-25 Published:2013-05-25

摘要/Abstract

摘要： 压缩成像是压缩感知理论最重要的研究领域之一.在分析压缩成像中实际测量矩阵与测量值约束的基础上,提出一种基于4-f光学架构的物理可实现的频域相位编码压缩成像方法.该方法利用两路光学架构之间的补偿实现相位编码压缩成像中测量值的非负记录,然后从该测量值精确恢复原图像,解决压缩成像应用中理论与实际物理约束之间不一致的问题.该方法可以单次曝光获得充分的测量值精确重建原图像,不需要其它附加信息,是压缩成像物理实现的一种非常可行的方案.模拟实验证明该方法可以有效地实现图像的压缩测量与超分辨率重建.

关键词: 压缩成像, 相位编码, 物理可实现

Abstract: Compressed Imaging (CI) is one of the most important research area of compressed sensing.Analyzing the constraints on actual measurement matrix and measurement values in CI,a frequency domain phase encoding CI method is proposed,which can be physically realized based on 4-f optical architecture.This method exploits two-way optical architecture compensated for the phase-encoding CI to implement the value non-negative for recording,and then accurately recover the original image from the measured values,to resolve inconsistencies between the theoretical requirements and physical constraints in CI.With measured values can be obtained in a single exposure,such method can reconstruct the original image precisely without additional information,and is a very practical scheme for physical realization of CI.Simulation experiments demonstrate that our proposed method can effectively capture compressed measurements of image and achieve super-resolution reconstruction.

Key words: compressive imaging, phase encoding, physical realizable

中图分类号:

TN911.7

张成, 程鸿, 张芬, 沈川, 韦穗. 物理可实现的相位编码压缩成像[J]. 电子学报, 2013, 41(5): 982-986.

ZHANG Cheng, CHENG Hong, ZHANG Fen, SHEN Chuan, WEI Sui. Physical Realizable Phase Encoding Compressed Imaging[J]. Acta Electronica Sinica, 2013, 41(5): 982-986.

参考文献

[1] 杨海蓉,等.压缩传感理论与重构算法[J].电子学报,2011,39(1):142-148. YANG Hairong,et al.The theory of compressed sensing and reconstruction algorithm [J].Acta Electronica Sinica,2011,39(1):142-148.(in Chinese)
[2] 石光明,等.压缩传感理论及其研究发展[J].电子学报,2009,37(5):1070-1081. Shi Guangming,et al.Advance in theory and application of compressed sensing .Acta Electronica Sinica,2009,37(5):1070-1081.(in Chinese)
[3] Duarte M F,et al.Single-pixel imaging via compressive sampling[J].IEEE Magazine on Signal Processing,2008,25(2):83-91.
[4] Stern A,et al.Random projections imaging with extended space-bandwidth product[J].Journal of Display Technology.2007,3(3):315-320.
[5] 张成,等.循环-托普利兹块相位掩模可压缩双透镜成像[J].光学学报,2011,31(8):811001. Zhang Cheng,et al.Compressive double-lens imaging using circulant-toeplitz-block phase mask[J].Acta Optica Sinica,2011,31(8):811001.(in Chinese)
[6] Donoho D L.Compressed sensing[J].IEEE Trans.Inf.Theory,2006,52(4),1289-1306.
[7] Candès E,et al.Robust uncertainty principles:exact signal re construction from highly incomplete frequency information[J].IEEE Trans.Inform.Theory,2006,52(2):489-509.
[8] Igasaki Y,et al.High efficiency electrically-addressable phase-only spatial light modulator[J].Optical Review,1999,6 (4),339-344.
[9] Romberg J.Compressive sensing by random convolution[J].SIAM J.Imag.Sci.,2009,2(4):1098-1128.
[10] Bioucas-Dias J,et al.A new TwIST:Two-step iterative shrinkage/thresholding algorithms for image restoration[J].IEEE Trans.Image Process.,2007,16(12):2992-3004.
[11] Figueiredo M,et al.Gradient projection for sparse reconstruction:application to compressed sensing and other inverse problems[J].IEEE J.Sel.Top.Sign.Proces.,2007,1(4) :586-597.
[12] Guo H T.Rice wavelet toolbox .http://dsp.rice.edu/software/rice-wavelet-toolbox.

[1]	张洋, 位寅生, 于雷. 抗主瓣多假目标欺骗干扰EPC-MIMO波形自适应优化设计技术[J]. 电子学报, 2022, 50(3): 513-523.
[2]	王杰贵, 张鹏程. 对相位编码步进跳频雷达的MCPC调制转发干扰[J]. 电子学报, 2017, 45(1): 89-97.
[3]	冯翔, 陈志坤, 李风从, 赵宜楠. 基于松弛交替投影的MIMO雷达相位编码波形设计[J]. 电子学报, 2016, 44(12): 2981-2988.
[4]	张成, 程鸿, 张芬, 沈川, 韦穗. 单次曝光频域振幅编码压缩成像[J]. 电子学报, 2014, 42(7): 1262-1267.
[5]	赵宜楠, 李风从, 王军, 乔晓林. 基于秩亏傅里叶变换的交替投影编码波形设计[J]. 电子学报, 2014, 42(6): 1216-1219.
[6]	练秋生, 张红卫, 陈书贞. 基于图像块整体稀疏性与流形投影的压缩成像[J]. 电子学报, 2013, 41(5): 905-911.
[7]	李风从, 赵宜楠, 乔晓林. 零自相关区相位编码波形设计[J]. 电子学报, 2013, 41(12): 2499-2502.
[8]	练秋生, 周婷. 结合字典稀疏表示和非局部相似性的自适应压缩成像算法[J]. 电子学报, 2012, 40(7): 1416-1422.
[9]	杨阳;王永纲;陈巍;王双;张丽君;黄大骏;章涛;韩正甫. 相位编码量子密钥分发系统的电子学设计[J]. 电子学报, 2011, 39(11): 2604-2609.
[10]	刘波;郭建中. 载频调制二相编码激励的超声成像信噪比提高研究[J]. 电子学报, 2011, 39(11): 2701-2707.
[11]	黄春琳;姜文利;周一宇. 对低截获概率相位编码信号检测的有限多循环检测器[J]. 电子学报, 2002, 30(6): 916-918.
[12]	左超;马文华;濮宏图;林金桐. 相位编码扩谱OCDMA系统性能分析[J]. 电子学报, 2002, 30(4): 457-459.
[13]	顾红;苏卫民;付耀先;刘国岁. 一种提高二相编码雷达检测目标动态范围的方法[J]. 电子学报, 2002, 30(12): 1752-1754.
[14]	郭代飞;高振明;张坚强. 小波去噪在频谱编码传输中的应用[J]. 电子学报, 2000, 28(10): 127-129.

物理可实现的相位编码压缩成像

Physical Realizable Phase Encoding Compressed Imaging

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 14

编辑推荐

Metrics