Digital reconstruction based on angular spectrum diffraction with the ridge of wavelet transform in holographic phase-contrast microscopy.

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.

[1]  E. Cuche,et al.  Digital holographic microscopy: a noninvasive contrast imaging technique allowing quantitative visualization of living cells with subwavelength axial accuracy. , 2005, Optics letters.

[2]  Jingang Zhong,et al.  Phase retrieval of optical fringe patterns from the ridge of a wavelet transform. , 2005, Optics letters.

[3]  D. Dirksen,et al.  Autofocusing in digital holographic phase contrast microscopy on pure phase objects for live cell imaging. , 2008, Applied optics.

[4]  B. Kemper,et al.  Digital holographic microscopy for live cell applications and technical inspection. , 2008, Applied optics.

[5]  Hsuan T. Chang.  Gradient match and side match fractal vector quantizers for images , 2002, IEEE Trans. Image Process..

[6]  Cesar A. Sciammarella,et al.  Determination of strains from fringe patterns using space-frequency representations , 2003 .

[7]  Christian Depeursinge,et al.  Total aberrations compensation in digital holographic microscopy with a reference conjugated hologram. , 2006, Optics express.

[8]  Ichirou Yamaguchi,et al.  Phase-shifting digital holography , 1997 .

[9]  Etienne Cuche,et al.  Purely numerical compensation for microscope objective phase curvature in digital holographic microscopy: influence of digital phase mask position. , 2006, Journal of the Optical Society of America. A, Optics, image science, and vision.

[10]  Hyunjo Jeong,et al.  Analysis of plate wave propagation in anisotropic laminates using a wavelet transform , 2001 .

[11]  Daniel Carl,et al.  Parameter-optimized digital holographic microscope for high-resolution living-cell analysis. , 2004, Applied optics.

[12]  Myung K. Kim,et al.  Wavelength-scanning digital interference holography for tomographic three-dimensional imaging by use of the angular spectrum method. , 2005, Optics letters.

[13]  Thierry Blu,et al.  Fresnelets: new multiresolution wavelet bases for digital holography , 2003, IEEE Trans. Image Process..

[14]  Chun-Min Lo,et al.  High-resolution quantitative phase-contrast microscopy by digital holography. , 2005, Optics express.

[15]  Etienne Cuche,et al.  Automatic procedure for aberration compensation in digital holographic microscopy and applications to specimen shape compensation. , 2006, Applied optics.

[16]  Jingang Zhong,et al.  Spatial carrier-fringe pattern analysis by means of wavelet transform: wavelet transform profilometry. , 2004, Applied optics.