Quantization noise and its reduction in lensless Fourier digital holography

Applied Optics

Volumn 50, Issue 7, 2011, Pages

  Pandey, Nitesh ^a   Hennelly, Bryan ^a  

^a NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

HOLOGRAPHY; IMAGE PROCESSING; IMAGE RECONSTRUCTION; IMAGING TECHNIQUES; LITHOGRAPHY; SPECKLE;

DIGITAL HOLOGRAPHY; HIGH QUALITY IMAGES; INTERFERENCE PATTERNS; LENSLESS FOURIER DIGITAL HOLOGRAPHY; QUANTIZATION ERRORS; QUANTIZATION NOISE; RECONSTRUCTED IMAGE; THEORETICAL MODELING;

HOLOGRAMS;

EID: 79952182981     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.50.000B58     Document Type: Article

References (53)

1. J. Goodman and R. Lawrence, "Digital image formation from electronically detected holograms," Appl. Phys. Lett. 11, 77 (1967).
2. M. Kronrod, N. Merzlyakov, and L. Yaroslavskii, "Reconstruction of a hologram with a computer," in SPIE Milestone Series 144 (SPIE Press, 1998), pp. 645-646.
3. L. Yaroslavskii and N. Merzlyakov, Methods of Digital Holography (Consultants Bureau, 1980).
4. U. Schnars and W. Jüptner, "Direct recording of holograms by a CCD target and numerical reconstruction," Appl. Opt. 33, 179-181 (1994).
5. T. Colomb, J. Kühn, F. Charriere, C. Depeursinge, P. Marquet, and N. Aspert, "Total aberrations compensation in digital holographic microscopy with a reference conjugated hologram," Opt. Express 14, 4300-4306 (2006). (Pubitemid 43727619)
6. P. Marquet, B. Rappaz, P. Magistretti, E. Cuche, Y. Emery, T. Colomb, and C. Depeursinge, "Digital holographic microscopy: a noninvasive contrast imaging technique allowing quantitative visualization of living cells with subwavelength axial accuracy," Opt. Lett. 30, 468-470 (2005). (Pubitemid 40339483)
7. T. Baumbach, W. Osten, C. von Kopylow, and W. Jüptner, "Remote metrology by comparative digital holography," Appl. Opt. 45, 925-934 (2006).
8. T. Poon, Digital Holography and Three-Dimensional Display: Principles and Applications (Springer, 2006).
9. N. Pandey and B. Hennelly, "Fixed-point numercial-reconstruction for digital holographic microscopy," Opt. Lett. 35, 1076-1078 (2010).
10. T. Naughton, Y. Frauel, B. Javidi, and E. Tajahuerce, "Compression of digital holograms for three-dimensional object reconstruction and recognition," Appl. Opt. 41, 4124-4132 (2002). (Pubitemid 34878906)
11. T. Naughton, J. McDonald, and B. Javidi, "Efficient compression of Fresnel fields for internet transmission of threedimensional images," Appl. Opt. 42, 4758-4764 (2003).
12. T. Naughton and B. Javidi, "Compression of encrypted threedimensional objects using digital holography," Opt. Eng. 43, 2233 (2004).
13. O. Matoba, T. Naughton, Y. Frauel, N. Bertaux, and B. Javidi, "Real-time three-dimensional object reconstruction by use of a phase-encoded digital hologram," Appl. Opt. 41, 6187-6192 (2002). (Pubitemid 35263591)
14. A. Shortt, T. Naughton, and B. Javidi, "A companding approach for nonuniform quantization of digital holograms of three-dimensional objects," Opt. Express 14, 5129-5134 (2006). (Pubitemid 43894184)
15. A. Shortt, T. Naughton, and B. Javidi, "Compression of optically encrypted digital holograms using artificial neural networks," J. Display Technology 2, 401-410 (2006). (Pubitemid 44955842)
16. A. Shortt, T. J. Naughton, and B. Javidi, "Compression of digital holograms of three-dimensional objects using wavelets," Opt. Express 14, 2625-2630 (2006).
17. G. Mills and I. Yamaguchi, "Effects of quantization in phase-shifting digital holography," Appl. Opt. 44, 1216-1225 (2005). (Pubitemid 40339547)
18. E. Darakis and J. Soraghan, "Reconstruction domain compression of phase-shifting digital holograms," Appl. Opt. 46, 351-356 (2007). (Pubitemid 46326639)
19. E. Darakis, T. Naughton, and J. Soraghan, "Compression defects in different reconstructions from phase-shifting digital holographic data," Appl. Opt. 46, 4579-4586 (2007). (Pubitemid 47388765)
20. A. Gotchev and L. Onural, "A survey on sampling and quantization in diffraction and holography," in Workshop on Spectral Methods and Multirate Signal Processing, SMMSP (2006), pp. 179-190.
21. D. Psaltis, E. Paek, and S. Venkatesh, "Optical image correlation with a binary spatial light modulator," in SPIE Milestone Series, 156 (SPIE Press, 1999), pp. 482-488.
22. B. Javidi and J. Horner, "Single spatial light modulator joint transform correlator," Appl. Opt. 28, 1027-1032 (1989).
23. A. Bourquard, F. Aguet, and M. Unser, "Optical imaging using binary sensors," Opt. Express 18, 4876-4888 (2010).
24. W. Dallas and A. Lohmann, "Phase quantization in hologramsdepth effects," Appl. Opt. 11, 192-194 (1972).
25. A. W. Lohmann and D. P. Paris, "Binary Fraunhofer holograms, generated by computer," Appl. Opt. 6, 1739-1748 (1967).
26. F. Wyrowski, "Iterative quantization of digital amplitude holograms," Appl. Opt. 28, 3864-3870 (1989).
27. R. Powers and J. Goodman, "Error rates in computergenerated holographic memories," Appl. Opt. 14, 1690-1701 (1975).
28. P. Naidu, "Quantization noise in binary holograms," Opt. Commun. 15, 361-365 (1975).
29. M. Seldowitz, J. Allebach, and D. Sweeney, "Synthesis of digital holograms by direct binary search," Appl. Opt. 26, 2788-2798 (1987).
30. L. Schuchman, "Dither signals and their effect on quantization noise," IEEE Trans. Communication Technology 12, 162-165 (1964).
31. J. Goodman, Introduction to Fourier Optics (Roberts & Co., 2005).
32. D. Kelly, B. Hennelly, N. Pandey, T. Naughton,W. Rhodes, "Resolution limits in practical digital holographic systems," Opt. Eng. 48, 095801 (2009).
33. H. Jin, H. Wan, Y. Zhang, Y. Li, and P. Qiu, "The influence of structural parameters of CCD on the reconstruction image of digital holograms," J. Mod. Opt. 55, 2989-3000 (2008).
34. A. Oppenheim and R. Schafer, Discrete-Time Signal Processing (Prentice-Hall, 1999).
35. A. Sripad and D. Snyder, "A necessary and sufficient condition for quantization errors to be uniform and white," IEEE Trans. Acoust. Speech Signal Process. 25, 442-448 (1977). (Pubitemid 8572773)
36. J. Schoukens and J. Renneboog, "Modeling the noise influence on the Fourier coefficients after a discrete Fourier transform," IEEE Trans. Instrum. Meas. 35, 278-286 (1986). (Pubitemid 17468741)
37. R. Shiavi, Introduction to Applied Statistical Signal Analysis: Guide to Biomedical and Electrical Engineering Applications (Academic, 2007).
38. J. Goodman, Speckle Phenomena in Optics: Theory and Applications (Roberts & Co, 2007).
39. O. A. Skydan, F. Lilley, M. J. Lalor, and D. R. Burton, "Quantization error of ccd cameras and their influence on phase calculation in fringe pattern analysis," Appl. Opt. 42, 5302-5307 (2003).
40. H. Gudbjartsson and S. Patz, "The Rician distribution of noisy MRI data," Magnetic Resonance Medicine 34, 910-914 (1995).
41. D. Middleton, An Introduction to Statistical Communication Theory (McGraw-Hill, 1960).
42. J. Maycock, C. Elhinney, B. Hennelly, T. Naughton, J. McDonald, and B. Javidi, "Three-dimensional scene reconstruction of partially occluded objects using digital holograms," Appl. Opt. 45, 2975-2985 (2006). (Pubitemid 43874652)
43. E. Buckley, "Holographic laser projection technology," Information Display 24, 12 (2008).
44. P. Hariharan and Z. Hegedus, "Reduction of speckle in coherent imaging by spatial frequency sampling," J. Mod. Opt. 21, 345-356 (1974).
45. J. Dainty, "Laser speckle and related phenomena," in Topics in Applied Physics (Springer-Verlag, 1975), Vol. 9, p. 298.
46. J. W. Goodman, "Some fundamental properties of speckle," J. Opt. Soc. Am. 66, 1145-1150 (1976).
47. J. Maycock, B. Hennelly, J. McDonald, Y. Frauel, A. Castro, B. Javidi, and T. Naughton, "Reduction of speckle in digital holography by discrete Fourier filtering," J. Opt. Soc. Am. 24, 1617-1622 (2007). (Pubitemid 47045708)
48. J. Lim and H. Nawab, "Techniques for speckle noise removal," Opt. Eng. 20, 472-480 (1981).
49. T. Crimmins, "Geometric filter for speckle reduction," Appl. Opt. 24, 1438-1443 (1985).
50. D. Monaghan, D. Kelly, N. Pandey, and B. Hennelly, "Twin removal in digital holography using diffuse illumination," Opt. Lett. 34, 3610-3612 (2009).
51. F. Charriére, B. Rappaz, J. Kühn, T. Colomb, P. Marquet, and C. Depeursinge, "Influence of shot noise on phase measurement accuracy in digital holographic microscopy," Opt. Express 15, 8818-8831 (2007). (Pubitemid 47112493)
52. M. Gross and M. Atlan, "Digital holography with ultimate sensitivity," Opt. Lett. 32, 909-911 (2007). (Pubitemid 46449887)
53. J. Lukas, J. Fridrich, and M. Goljan, "Digital camera identification from sensor pattern noise," IEEE Trans. Info. Foren. Sec. 1, 205-214 (2006). (Pubitemid 43824631)