Creating an extended focus image of a tilted object in Fourier digital holography.

We present a new method to numerically reconstruct images on a tilted plane by digital holography in Fourier configuration. The proposed technique is based on a quadratic deformation of spatial coordinates of the digital hologram. By this approach we demonstrate that it is possible to recover the extended focus image (EFI) of a tilted object in a single reconstruction step from the deformed hologram.

[1]  R J Pieper,et al.  Image processing for extended depth of field. , 1983, Applied optics.

[2]  Detlef Leseberg,et al.  Computer-generated holograms of 3-D objects composed of tilted planar segments. , 1988, Applied optics.

[3]  W. Cathey,et al.  Extended depth of field through wave-front coding. , 1995, Applied optics.

[4]  H Ohzu,et al.  Hybrid holographic microscopy: visualization of three-dimensional object information by use of viewing angles. , 2000, Applied optics.

[5]  Pietro Ferraro,et al.  Digital holographic microscope with automatic focus tracking by detecting sample displacement in real time. , 2003, Optics letters.

[6]  Michael Unser,et al.  Autofocus for digital Fresnel holograms by use of a Fresnelet-sparsity criterion. , 2004, Journal of the Optical Society of America. A, Optics, image science, and vision.

[7]  Joseph Katz,et al.  Automated scanning and measurements of particle distributions within a holographic reconstructed volume , 2004 .

[8]  A Finizio,et al.  Angular spectrum method with correction of anamorphism for numerical reconstruction of digital holograms on tilted planes. , 2005, Optics express.

[9]  Bahram Javidi,et al.  Extended focused image in microscopy by digital Holography. , 2005, Optics express.

[10]  Catherine Yourassowsky,et al.  Focus plane detection criteria in digital holography microscopy by amplitude analysis. , 2006, Optics express.

[11]  Vidya Venkatachalam,et al.  Extended depth of field imaging for high speed cell analysis , 2007, Cytometry. Part A : the journal of the International Society for Analytical Cytology.

[12]  Zeev Zalevsky,et al.  Extended depth of focus imaging with birefringent plate. , 2007, Optics express.

[13]  M Sypek,et al.  Imaging with extended focal depth by means of lenses with radial and angular modulation. , 2007, Optics express.

[14]  B. Javidi,et al.  Free View 3-D Visualization of Occluded Objects by Using Computational Synthetic Aperture Integral Imaging , 2007, Journal of Display Technology.

[15]  Chung Ki Hong,et al.  Pixel-size-maintained image reconstruction of digital holograms on arbitrarily tilted planes by the angular spectrum method. , 2008, Applied optics.

[16]  Hui Zhao,et al.  Improved logarithmic phase mask to extend the depth of field of an incoherent imaging system. , 2008, Optics letters.

[17]  Catherine Yourassowsky,et al.  Extended focused imaging of a microparticle field with digital holographic microscopy. , 2008, Optics letters.

[18]  Thomas J Naughton,et al.  Extended focused imaging for digital holograms of macroscopic three-dimensional objects. , 2008, Applied optics.

[19]  K. Matsushima Formulation of the rotational transformation of wave fields and their application to digital holography. , 2008, Applied optics.

[20]  G. Pedrini,et al.  High-fidelity numerical realization of multiple-step Fresnel propagation for the reconstruction of digital holograms. , 2008, Applied optics.

[21]  Bahram Javidi,et al.  Extension of depth of field using amplitude and phase modulation of the pupil function. , 2008, Optics letters.

[22]  P. Ferraro,et al.  Controlling depth of focus in 3D image reconstructions by flexible and adaptive deformation of digital holograms. , 2009, Optics letters.

[23]  R Riesenberg,et al.  Reconstruction of high-resolution holographic microscopic images. , 2009, Optics letters.