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In order to improve the accuracy and the speed of reconstructing an image, the digital holographic generalized linear reconstructing algorithm based on homomorphic signal processing is proposed. By using the pre-magnification digital holographic imaging system and the principle of homomorphic signal processing, the proposed algorithm is analyzed theoretically. The achieving condition for and reconstructing process of the proposed algorithm is presented. Then the theoretical results are demonstrated by simulations and experimental data. Results show that the zero-order term of digital hologram frequency spectrum can be eliminated effectively by the proposed algorithm so as to realize the high-precision reconstruction of the digital hologram. Because a whole quadrant is chosen as the filtered area, the manual frequency filtering operation needed in common linear reconstructing algorithm is avoided and then the reconstructing speed is improved greatly. Meanwhile, the high-frequency component of the reconstructed original image can be reserved up to the hilt so that the high resolution image can be achieved.
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Keywords:
- digital holographic holography /
- homomorphic signal processing /
- Fourier transform /
- resolution
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[2] Miccio L, Finizio A, Puglisi R 2011 Bio. Opt. Expre. 2 331
[3] Rajshekhar G, Gorthi S S, Rastogi P 2010 Opt. Expre. 18 18041
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[6] Wang Y X, Wang D Y, Zhao J, Yang Y S, Xiao X Q, Cui H Q 2011 Chi. Opt. Lett. 9 030901
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[12] Kim M K 2010 SPIE Reviews 1 018005
[13] Takaki Y, Kawai H, Qhzu H 1999 Appl. Opt. 38 4990
[14] Kreis T M, Juptner W P 1997 Opt. Eng. 36 2356
[15] Liu C, Li Y Z, Cheng X T, Liu Z G, Bo F, Zhu J Q 2002 Opt. Eng. 41 2434
[16] Nicolas P, Chandra Sekhar S, Michael U, Christian D 2010 SPIE Reviews 9 7723
[17] Chandra Sekhar S, Nicolas P, Christian D, and Michael U 2011 J. Opt. Soc. Am. A 28 983
[18] Wang H Y, Liu F F, Song X F, Liao W, Zhao B Q, Yu M J, Liu Z Q 2013 Acta Phys. Sin. 62 024207 (in Chinese) [王华英, 刘飞飞, 宋修法, 廖薇, 赵宝群, 于梦杰, 刘佐强 2013 62 024207]
[19] Zhou C Y, Xu G M 1990 Acta Seismologica Sinica 12 299 (in Chinese) [周常義, 徐果明 1990 地震学报 12 299]
[20] Wang H Y, Liu F F, Liao W, Song X F, Yu M J, Liu Z Q 2013 Acta Phys. Sin. 62 054206 (in Chinese) [王华英, 刘飞飞, 廖薇, 宋修法, 于梦杰, 刘佐强 2013 62 054206]
[21] Wang H Y, Liu F F, Song X F, Liao W, Yu M J, Liu Z Q 2013 Chinese Journal of Lasers 6 0209001 (in Chinese) [王华英, 刘飞飞, 宋修法, 廖薇, 于梦杰, 刘佐强 2013 中国激光 6 0209001]
[22] Zhang F C, Pedrini G, Wolfgang O 2006 Opt. Lett. 31 1633
[23] Shen F B, Wang A B 2006 Appl. Opt. 45 1102
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[1] Eilenberger F, Minardi S, Pliakis D, Pertsch T 2012 Opt. Lett. 37 509
[2] Miccio L, Finizio A, Puglisi R 2011 Bio. Opt. Expre. 2 331
[3] Rajshekhar G, Gorthi S S, Rastogi P 2010 Opt. Expre. 18 18041
[4] Das B, Yelleswarapu C S, Rao D V G L N 2012 Appl. Opt. 51 1387
[5] Wang L, Zhao J L, Di J L, Jiang H Z 2011 Opt. Lett. 36 2710
[6] Wang Y X, Wang D Y, Zhao J, Yang Y S, Xiao X Q, Cui H Q 2011 Chi. Opt. Lett. 9 030901
[7] Tsang P, Poon T C, Cheung K W K 2012 Opt. Expre. 20 14183
[8] Li J C, Fan Z B, Patrice T, Song Q H, Pascal P 2011 Opt. Commu. 284 3183
[9] Yuan C J, Zhai H C, Wang X L, Wu L 2007 Acta Phys. Sin. 56 218 (in Chinese) [袁操今, 翟宏琛, 王晓雷, 吴兰 2007 56 218]
[10] Chen L P, Lv X X 2009 Chin. Phys. B 18 189
[11] Nicolas P Cristian A Isabelle B, Christian D 2010 Opt. Exp. 18 15318
[12] Kim M K 2010 SPIE Reviews 1 018005
[13] Takaki Y, Kawai H, Qhzu H 1999 Appl. Opt. 38 4990
[14] Kreis T M, Juptner W P 1997 Opt. Eng. 36 2356
[15] Liu C, Li Y Z, Cheng X T, Liu Z G, Bo F, Zhu J Q 2002 Opt. Eng. 41 2434
[16] Nicolas P, Chandra Sekhar S, Michael U, Christian D 2010 SPIE Reviews 9 7723
[17] Chandra Sekhar S, Nicolas P, Christian D, and Michael U 2011 J. Opt. Soc. Am. A 28 983
[18] Wang H Y, Liu F F, Song X F, Liao W, Zhao B Q, Yu M J, Liu Z Q 2013 Acta Phys. Sin. 62 024207 (in Chinese) [王华英, 刘飞飞, 宋修法, 廖薇, 赵宝群, 于梦杰, 刘佐强 2013 62 024207]
[19] Zhou C Y, Xu G M 1990 Acta Seismologica Sinica 12 299 (in Chinese) [周常義, 徐果明 1990 地震学报 12 299]
[20] Wang H Y, Liu F F, Liao W, Song X F, Yu M J, Liu Z Q 2013 Acta Phys. Sin. 62 054206 (in Chinese) [王华英, 刘飞飞, 廖薇, 宋修法, 于梦杰, 刘佐强 2013 62 054206]
[21] Wang H Y, Liu F F, Song X F, Liao W, Yu M J, Liu Z Q 2013 Chinese Journal of Lasers 6 0209001 (in Chinese) [王华英, 刘飞飞, 宋修法, 廖薇, 于梦杰, 刘佐强 2013 中国激光 6 0209001]
[22] Zhang F C, Pedrini G, Wolfgang O 2006 Opt. Lett. 31 1633
[23] Shen F B, Wang A B 2006 Appl. Opt. 45 1102
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