Abstract

A numerical reconstruction technique of digital holography based on angular spectrum diffraction by means of the ridge of Gabor wavelet transform (GWT) is presented. Appling the GWT, the object wave can be reconstructed by calculating the wavelet coefficients of the hologram at the ridge of the GWT automatically even if the spectrum of the virtual image is disturbed by the other spectrum. It provides a way to eliminate the effect of the zero-order and the twin-image terms without the spatial filtering. In particular, based on the angular spectrum theory, GWT is applied to the digital holographic phase-contrast microscopy on biological specimens. The theory, the results of a simulation and an experiment of an onion specimen are shown.

© 2008 Optical Society of America

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2008 (2)

P. Langehanenberg, B. Kemper, D. Dirksen, and G. von Bally, "Autofocusing in digital holographic phase contrast microscopy on pure phase objects for live cell imaging," Appl. Opt. 47, 176-182 (2008).
[CrossRef]

B. Kemper and G. von Bally, "Digital holographic microscopy for live cell applications and technical inspection," Appl. Opt. 47, A52-A61 (2008).
[CrossRef]

2006 (3)

2005 (4)

2004 (2)

2003 (1)

A. Cesar and K. Taeeeui, "Determination of strains from fringe patterns using space-frequency representations," Opt. Eng. 42, 3182-3193 (2003).
[CrossRef]

2002 (1)

M. Liebling, T. Blu, and M. Unser, "Fresnelets: new multiresolution wavelet bases for digital holography," IEEE Trans. Image Proc. 11, 1-14 (2002).
[CrossRef]

2001 (1)

H. Jeong, "Analysis of plate wave propagation in anisotropic laminates using a wavelet transform," NDT & E Int. 34, 185-190(2001).
[CrossRef]

1997 (1)

Aspert, N.

Blu, T.

M. Liebling, T. Blu, and M. Unser, "Fresnelets: new multiresolution wavelet bases for digital holography," IEEE Trans. Image Proc. 11, 1-14 (2002).
[CrossRef]

Carl, D.

Cesar, A.

A. Cesar and K. Taeeeui, "Determination of strains from fringe patterns using space-frequency representations," Opt. Eng. 42, 3182-3193 (2003).
[CrossRef]

Charrière, F.

Colomb, T.

Cuche, E.

Depeursinge, C.

Dirksen, D.

P. Langehanenberg, B. Kemper, D. Dirksen, and G. von Bally, "Autofocusing in digital holographic phase contrast microscopy on pure phase objects for live cell imaging," Appl. Opt. 47, 176-182 (2008).
[CrossRef]

Emery, Y.

Jeong, H.

H. Jeong, "Analysis of plate wave propagation in anisotropic laminates using a wavelet transform," NDT & E Int. 34, 185-190(2001).
[CrossRef]

Kemper, B.

Kim, M. K.

Kühn, J.

Langehanenberg, P.

P. Langehanenberg, B. Kemper, D. Dirksen, and G. von Bally, "Autofocusing in digital holographic phase contrast microscopy on pure phase objects for live cell imaging," Appl. Opt. 47, 176-182 (2008).
[CrossRef]

Liebling, M.

M. Liebling, T. Blu, and M. Unser, "Fresnelets: new multiresolution wavelet bases for digital holography," IEEE Trans. Image Proc. 11, 1-14 (2002).
[CrossRef]

Lo, C.

Magistretti, P. J.

Mann, C. J.

Marquet, P.

Montfort, F.

Rappaz, B.

Taeeeui, K.

A. Cesar and K. Taeeeui, "Determination of strains from fringe patterns using space-frequency representations," Opt. Eng. 42, 3182-3193 (2003).
[CrossRef]

Unser, M.

M. Liebling, T. Blu, and M. Unser, "Fresnelets: new multiresolution wavelet bases for digital holography," IEEE Trans. Image Proc. 11, 1-14 (2002).
[CrossRef]

von Bally, G.

Weng, J.

Wernicke, G.

Yamaguchi, I.

Yu, L.

Zhang, T.

Zhong, J.

Appl. Opt. (5)

IEEE Trans. Image Proc. (1)

M. Liebling, T. Blu, and M. Unser, "Fresnelets: new multiresolution wavelet bases for digital holography," IEEE Trans. Image Proc. 11, 1-14 (2002).
[CrossRef]

J. Opt. Soc. Am. A (1)

NDT & E Int. (1)

H. Jeong, "Analysis of plate wave propagation in anisotropic laminates using a wavelet transform," NDT & E Int. 34, 185-190(2001).
[CrossRef]

Opt. Eng. (1)

A. Cesar and K. Taeeeui, "Determination of strains from fringe patterns using space-frequency representations," Opt. Eng. 42, 3182-3193 (2003).
[CrossRef]

Opt. Express (2)

Opt. Lett. (4)

Other (1)

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1996).

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