Study on digital holography based on the total variation reconstruction algorithm
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1.
Shanghai Key Laboratory of Modern Optical System, Electrical Engineering College, University of Shanghai for Science and Technology, Shanghai 200093, China
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Received Date:
2013-04-23
Accepted Date:
2013-06-03
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Abstract
In order to eliminate the zero-order image and the conjugate image interference problems in the traditional algorithm for reconstruction of digital hologram, a new algorithm based on the total variation of the two-step iterative shrinkage thresholding (TwIST) was proposed combining compressive sensing theory with reconstruction of the digital hologram. According to the characteristics of the reconstruction component, the TwIST algorithm based on the total variation improves the quality of the reconstruction of hologram. The simulation results show that the hologram can be reconstructed from a sparse hologram with TwIST reconstruction algorithm a high quality image was reconstructed from 35% of a hologram and the peak signal-to-noise ratio (PSNR) of the reconstructed image was 36.46dB without zero-order image and conjugate image interference. The study is helpful for implementing real-time computer-generated hologram.
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References
|
[1]
|
JIAN X Z, ZHANG H, FAN J P, et al. Research of computer-generated hologram based on FPGA technology [J]. Laser Technology, 2011,36(1): 26-32(in Chinese). |
|
[2]
|
CHEN N. Research on digital holography[D].Guangzhou:Jinan University, 2004: 58-80(in Chinese). |
|
[3]
|
FENG Y J, DING J P, ZHOU J. Self-focusing matched filter produced by computer-generated hologram[J]. Optics Communications, 2000, 184(1): 89-93. |
|
[4]
|
YU Z L, JIN G F. Computer generated hologram[M].Beijing:Tsinghua University Press,1984:1-194(in Chinese). |
|
[5]
|
SONG X F, ZHAO B Q, QIN A. Comparison of three basic reconstruction algorithms in digital holography[C]//Optical Test and Measurement Technology and Equipment. Chengdu:International Society for Optics and Photonics,2009:40-46. |
|
[6]
|
LI J C. FFT computation of angular spectrum diffraction formula and its application in wavefront reconstruction of digital holography[J]. Acta Optica Sinica, 2009,29(5):1163-1167(in Chinese). |
|
[7]
|
WU Y C, WU X C, WANG Z H, et al. Reconstruction of digital inline hologram with compressed sensing[J]. Acta Photonica Sinica, 2011,31(11):1109001(in Chinese). |
|
[8]
|
CANDES E J, ROMBERG J, TAO T. Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information[J]. IEEE Transactions on Information Theory,2006, 52(2):489-509. |
|
[9]
|
CANDES E J, TAO T. Near-optimal signal recovery from random projections: universal encoding strategies[J]. IEEE Transactions Information Theory,2006,52(12): 5406-5425. |
|
[10]
|
MARIM M M, ATLAN M, ANGELINI E D, et al. Compressed sensing for digital holographic microscopy[C]//Biomedical Imaging: From Nano to Macro, 2010 IEEE International Symposium. Rotterdam, Holland:IEEE,2010:684-687. |
|
[11]
|
MA J Sh, XIA F P, SU P, et al. Study on compressive sensing phase-shifting digital holography[J]. Semiconductor Optoelectronics, 2013,34(1): 130- 133(in Chinese). |
|
[12]
|
CHEN S Sh B, DONOHO D L, SAUNDERS M A. Atomic decomposition by basis pursuit[J]. SIAM Review,2001,43(1):129-159. |
|
[13]
|
BIOUCAS-DIAS J M, FIGUEIREDO M A T. A new TwIST:two-step iterative shrinkage/thresholding algorithms for image restoration[J]. IEEE Transactions on Image Processing,2007,16(12):2992-3004. |
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